fe Cornell UnfwaMW ILflSxwiW MT 58.P96A6 Applied forms.a sequel to "Musical form 3 1924 022 495 539 CORNELL UNIVERSITY LIBRARY MUSIC Cornell University Library The original of this book is in the Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924022495539 AUGENEKS EDITION, No. 9188. Applied Forms A SEQUEL TO 'MUSICAL FORM.' BY EBENEZER PROUT, B.A. (London) Hon. Mus. Doc. Trin. Coll. Dublin and Edinburgh, and Professor of Music in the University of Dublin. FOURTH EDITION. LONDON : AUGENER & CO. [entered at stationers' hall.] Copyright for all Countries.] [Rights of Translation Reserved. PREFACE. With the present volume the treatment of Musical Forms, begun in the preceding volume of this series, is completed. So many enquiries for the book have been addressed both to the author and to the publishers during the time of its preparation, that a few words of explanation seem due to readers, to account for the delay in its appearance. In the preface to Musical Form it was said that that work had involved more labour than any of its predecessors. But the compilation of that volume proved to be mere child's play in comparison with the research necessary for the present one, which has required more than eighteen months' hard work to complete it. This has been the inevitable result of the system on which the author has worked. Though he has consulted numerous theoretical treatises, he has in no case taken either his statements or his illustrations at second hand ; in every single instance he has gone direct to the works of the great masters both for his rules and for his examples. What this involves may be judged from one or two illustrations. Before writing the three paragraphs on the Minuet (§§ 71-73), the author examined every minuet in the complete works of Handel, Bach, Couperin, Corelli, Mozart, Beethoven, and Schubert, the whole of Haydn's 83 Quartetts, all the symphonies (about fifty) which he possesses by the same composer, and a number of miscellaneous specimens by other writers. The result of all this work occupies less than three pages. Even more laborious were the preliminary investi- gations for the sonata form (Chapters VII. and VIIL). About 1,200 movements were carefully examined before a line of the text was written ; and this task occupied the whole of the author's spare time for nearly a month. When it is added that every separate form has been dealt with on the same plan, it is hoped that no further apology for the tardy publication of the volume will be needed. The greater part of the present work is devoted to the evolution of the larger forms from the two typical forms, the simple Binary and simple Ternary, treated of in the ninth and iv Preface. tenth chapters of Musical Form. In order to assist beginners in composition with practical hints on matters not often touched upon in theoretical treatises, the study of these forms is preceded by a chapter on Pianoforte Writing. Students, even though they may themselves play the piano well, often write uncomfortably or incorrectly for the instrument ; and it is hoped that the directions here given will assist them in various points on which the author's experience has shown him that they are apt to go wrong. As being the simplest, the Dance Forms (Chapter III.) are the first dealt with. It has been impossible to describe all the existing varieties ; it would, besides, have been of little practical utility. But all the more important dances to be met with either in older Suites, or in the compositions of the great masters, are treated of, and the student who understands these will have little difficulty with the analysis of others. The smaller instrumental forms, nearly all of which are simple binary or ternary, and the different variation forms occupy Chapters IV. and V. In treating of the older Rondo form (Chapter VI.) the author found himself upon more debateable ground. Here the various theorists differ widely ; in fact, hardly two are in complete agreement. Instead, therefore, of following any preceding writer, the author thought it best to try to evolve some system for himself by the study of the best models. The plan here adopted will probably not commend itself to all readers ; but it is at least a logical carrying out of the general principles laid down in Musical Form. By regarding the older Rondo as an extension of the ternary form, in precisely the same manner in which that form is an extension of the binary, a clear line of demarcation between the two is established, and the analysis becomes sim- plified. The Sonata Form, the most important, and in some respects the most perfect of the instrumental forms, fills the two following chapters. Many writers consider this form to be binary ; and this view was long held and taught by the author himself. Closer investigation, however, convinced him that it was more accurate to regard this form as ternary ; the reasons for adopting this view are given in the seventh chapter of this volume. The term " second subject " is employed in a larger sense than that gener- ally given to it, because the form of the movement thus becomes much easier to analyze than if such expressions as "auxiliary," "subsidiary," &c, are employed. In treating of the 'Free Prb-face. v Fantasia' it has been found impossible to give more than general directions to the composer, because of the infinite variety to be met with in this part of the movement. It is hoped that the examples selected and analyzed will sufficiently show the principles underlying thematic development in general. The recapitulation of a sonata movement has been dealt with at some length, because there is far more irregularity to be found here than is generally supposed. The various modifications of Sonata form, including the modern Rondo, naturally occupy the next place in the volume. The student is often much troubled in his attempts at analysis by meeting with movements which he is unable to explain as belonging to any of the categories described in the earlier chapters of this volume. An effort to assist him is made in Chapter XI. The mixed and irregular forms there spoken of are so Protean in their disguises that any attempt at classification was more than ordinarily difficult. The author dares not flatter himself that he has exhausted the subject. All that has been possible for him here has been to select and analyze some representative examples. The student who is thoroughly familiar with the normal forms will soon learn to recognize the variations when he meets with them, and must try to do for himself with other movements what is done for him here with those selected for analysis. After dealing with the separate forms of the different move- ments, their combination into larger works naturally follows as the next step. This subject is treated in the chapter on Cyclic Forms. A chapter on Organ Music, in which some practical directions are given as to writing for the 'king of instruments,' concludes the portion of the volume which deals with instrumental music. It was the author's original intention to have treated vocal music at much greater length than he has done in the final chapter. His first idea has. been modified, partly because the instrumental forms had required much more space than he had expected, but chiefly because, on going carefully into the subject, he found that such a method of treatment as he at first designed would have necessitated writing a complete history of the rise and progress of vocal music. This would not only have increased the size of the volume inordinately, but it would have been beyond the scope of the present series, which is intended to be educational rather than historical. The vocal forms differ from vi Preface. the instrumental chiefly in their greater freedom, resulting from their association with words. It is hoped that enough has been said to guide the student in his examination of the works of the great masters for himself. It cannot be too strongly impressed upon the learner that mastery of form cannot be acquired merely by reading this or any other book. A thorough knowledge of it can only be obtained by carefully studying and analyzing the works of the great composers. It is in this way that the author has learned whatever he knows about the subject ; and just as the works of other theorists have been of use to him in showing him what to look for, he hopes that the present volume may assist students in investigating for themselves the glorious heritage bequeathed to us by the immortal masters of the past and present centuries. Without a knowledge of their principal compositions no musician can be said to be fully equipped for his work. Though, as already said, nothing in the present volume ,has been taken at second hand, it would be disingenuous of the author not to acknowledge the help he has obtained in preparing this book from the labours of others who have preceded him. He would especially mention Dr. Marx's 'Composition,' Dr. Hugo Riemann's ' Katechismus der Kompositionslehre,' and the numerous admirable articles by Dr. Hubert Parry in Grove's ' Dictionary of Music,' as having been of great service to him. As on so many previous occasions, the author has again to acknowledge the kind assistance he has received from his friend Dr. C. W. Pearce in the correction of the proofs. He has also to thank his friend and colleague, Professor Mahaffy, of Trinity College, Dublin, for many valuable suggestions. The present volume will be followed, should the author's life and health be spared, by two volumes on the Orchestra, which will complete the series commenced six years ago with Harmony -. Its Theory and Practice. London, January, 1895. TABLE OF CONTENTS. [N.B. — The numbers refer in every instance to the sections, not to the pages.] CHAPTER I. — Introduction page i Summary of preceding volume, I, 2 — The evolution of music, 3 — Abstract music rarely to be met with, 4 — The form of music influenced by the medium through which it is presented, 5 — Applied Form defined, 6 — Difference between vocal and instrumental music, 7 — Two classes ot instruments : polyphonous and monophonous, 8 — Different kinds of vocal music, 9 — Plan of the present volume, 10, II — The best masters in com- position, 12. CHAPTER II.— Pianoforte Writing page 5 Considerations to be borne in mind when writing for the piano, 13 — The piano the most useful instrument for the composer, 14— Its inherent defects, 15 — Uniformity of tone-quality, 16 — Its natural shortcomings stimulate the imagination, 17 — Interlacing of the two hands, 18 — Example by Liszt, 19 — Sustained melodies best in the medium of the instrument, 20 — The pedal, 21 — Explanation of its mechanism, 22, 23 — Increases the volume of tone, 24 — " Sympathetic resonance," 25, 26 — The principal use of the pedal ; example by Schumann, 27 — Repetition of melody notes as accom- paniment, 28 — The pedal used to obtain wider positions of harmony, 29 — The soft (una cordd) pedal, 30 — Position of the harmonies in writing for the piano, 31 — Variation in number of parts, 32 — Number of voices in polyphonic music for the piano, 33 — Passages in only two or three parts, 34 — Treatment of broken chords and arpeggios, 35 — Relaxation of the strict laws of part-writing, 36-38 — Dissonances in arpeggios should be resolved in the octave in which they are taken, 39 — Treatment of isolated low notes in the bass, 40 — The technique of the piano must be considered while writing for it, 41 — Composing at the piano, 42. CHAPTER III.— The Dance Forms page 23 Why dance forms are studied first, 43 — Difference between dance music and dance forms, 44 — The old Suite, 46 — Its indispensable movements, 47 — All the movements were in binary form, 48 — The Allemande, 49-51 — The Courante, 52-55— The Sarabande, 56-59— The ' Double,' 58 — The Cigue, 60-63 — The Gavotte, 64-67 — The Passepied, 68 — Explanation of viii Contents. the term 'Trio,' 69— The BoiirrSe, Jo— The Minuet, 71— Minuets with more than one Trio, 72 — The modern Minuet, 73 — The Scherzo, a development of the Minuet, 74 — Innovations introduced by Beethoven, 75— Scherzos with two trios, 76— The ternary form abandoned, 77 — The Waltz, 78-81— The modern ' Valse de Salon' ; Chopin's Waltzes, 82— ' Sets ' of Waltzes, 83— The Mazurka, 84, 85— The Polonaise, or Polacca, 86— Example by Bach, 87— Ditto by Schubert, 88— The Marche aux Flambeaux, 89— The Bolero, 90, 91— The Tarantella, 92— The March, 93 — March forms, 94-96 — Rate of speed, 97— Example by Beethoven, 98 — Modern Suites, 99 — Directions for work, IOO. CHAPTER IV.— The Smaller Instrumental Forms ... page 63 The smaller forms mostly simple binary or simple ternary, 101 — Pieces written for children, 102 — The forms of Beethoven's Bagatelles, Op. 33, 103 — Ditto of the first book of Mendelssohn's 'Lieder ohne Worte,' 104— Ditto of Schumann's ' Phantasiestucke,' 105 — Modern pianoforte music, 106 — The Etude, 107 — Cr'amer's ' Studio : ' harmonic framework of the fourth study, 108 — Example of an Etude by Steibelt, 109 — Ditto by Henselt, no — The larger form of Etude : the studies of Chopin, Henselt, Heller, and Clementi,' III — The Prelude, 1 12 — Its simplest form, 113 — Example by Handel, '114 — A Prelude in the form of an Etude, 115, 116 — Preludes in the larger binary form, 1 1 7 — Bach's organ preludes ; the preludes founded on chorals, 118 — Larger organ preludes, 119 — Analysis of Bach's Prelude in F minor, 120-123 — The largest forms, 124 — Use of the fugato in a prelyde, 125 — The preludes of Beethoven, Mendelssohn, and Chopin, 126 — The Fugue, 127 — Outline of its form, 128, 129 — The fugue form a modification of simple ternary, 130-133 — Directions for work, 135. - _^ CHAPTER V.— The Variation Forms page 85 Incidental variation, 136 — Variation defined, 137 — The Ground Bass ; example by Purcell, 138 — The Chdconne, 139, 140 — The Passacaglia, 141 — Beet- hoven's ' 32 Variations ' a inodern Chaconne, 142 — The Air with Varia- tions, 143 — Form of the theme, 144 — 'Its character, 145 — Longer themes, 146 — Strict and free variations, 147 — The older and the newer style, 148 — Strict variations, 149 — Analysis of Mozart's Variations on "Je suis Lindor," 150-153 — Other jvariations by Mozart, 154 — Beethoven's vari- ations, 155 — Analysis of the ' Six Variations,' Op. 34, 156-162 — Beet- hoven's later variations, 163 — The variations of Schubert, Weber, and Mendelssohn, 164 — The modern style of variation, 165 — Rhythm of the variations, 166— Canonic/variation, 167 — Double Variations, 168 — Varia- tion on two themes, 169, 170 — Variations in vocal music, 171 — The Introduction, 172 — General summary of principles, 173-176 — The di- versity of variation forms, 177. CHAPTER VL— The Older Rondo Form page 107 The larger forms, 178 — The Rondo: meaning of the name, 179 — Two kinds of Rondo, 180 — Example by Couperin, 181 — Analysis of the same, 182 Number of episodes, 183 — Their key, 184 — Rondo by Bach analyzed, 185, 186 — The rondos of Haydn, &c, 187 — Their development from the ternary form, 188 — Minuets in rondo form, 189 — Choice of keys for the episodes, 190, 191 — Rondo by Haydn analyzed, 192-195 — Analysis of Dussek's 'La Consolation,' 196, 197 — Ditto of Mozart's Rondo in A minor, Contents. ix 199, 20 ° — Beethoven's Andante in F, 201 — Analysis of Beethoven's Rondo in C, Op. 51, No. 1, 202, 203 — Ditto of rondo in Sonata, Op. 53, 204 — Other examples, 205 — Rondos with three episodes, 206 — The principal subject only one sentence ; example by Mozart, 207 — Analysis of rondo from Mozart's trio in E flat, 208, 209 — Irregular rondos ; example by Beethoven, 210 — The double variation sometimes a rondo, 211 — Some pieces incorrectly described as rondos, 212 — Directions to the student, 213. CHAPTER VII.— The Sonata Form : the Exposition ... page 127 Definition of the Sonata Form, 214 — It is found in other works besides sonatas, 215 — The essential difference between a Rondo and a movement in Sonata form, 216 — The old Sonata form : example by Scarlatti analyzed, 217 — The "bridge-passage," 218 — How to find the limits of the second subject, 219 — The second part of the movement, 220 — Modifications of detail, 221 • — Later examples of the old form, 222 — The modern form developed by C. P. E. Bach, 223 — Difference between the old and the modern Sonata forms, 224 — The Exposition of a sonata movement ; the first subject : example by Beethoven, 225 — Ditto by Haydn, 226 — Ditto by Schumann, 227 — Ditto by Mozart, ending with a half cadence, 228 — Ditto by Beet- hoven, 229 — Its rhythmic construction explained, 230 — Long first sub- jects, 231 — Subjects with a preface, 232 — The bridge-passage; how to know where it begins, 233 — Example by Mozart, 234-236 — Material of the bridge-passage : its course of modulation, 237 — Very short bridge- passages, 238 — The second subject, 239 — Key of the second subject ; the old rule, 240 — Beethovens innovations, 241 — Second subject in the mediant, major and minor, 242 — Ditto in the submediant, 243 — Key of the second subject in a minor movement, 244 — The practice of Beethoven, 245 — Second subject in the dominant major, 246 — Second subject in flat keys, 247 — The "sections" of the second subject, 248— A second subject indivisible into sections, 249— Analysis of movement by Haydn, 250-252— Ditto of exposition of ' Eroica ' symphony, 253 — Many sections in the same key, 254 — The second subject of a minor movement in two keys, 255 — The first section in a different key from the following, 256— Change of mode, 257— Change of tonic, 258— Example by Beethoven (Op. 10 No. 3) analyzed, 259— Incidental modulation, 260— Unity of style, how obtained, 261 — The second subject beginning in a remote key ;" examples, 262 — This procedure peculiar to major movements, 263 — An unusual close, 264 — Determination of the limits of the second subject, 265 — The codetta, 266 — Repetition of the exposition, not obligatory, 267 — Summary of the chapter, 268-274. CHAPTER VIII. — The Sonata Form (continued) : The Develop- ment, and Recapitulation page 158 Freedom of the form in the second and third parts of a sonata movement, 275 — The Free Fantasia, 276 — How it differs from the second part of a genuine ternary form, 277 — The free fantasia the test of a composer's genius ; supremacy of Beethoven, 278 — Analysis of free fantasia of his sonata, Op. 7, 279-281 — Ditto of Haydn's symphony in G, 282-285 — Thematic development, 286 — The free fantasia in Beethoven's Pastoral Symphony, 287-290 — Fragments of themes worked separately ; example from Beet- hoven's Waldstein sonata, 291 — Contrapuntal development, 292— Intro- duction of episode, 293— Examples, 294-297— A slow introduction brought in again during free fantasia, 298— Example by Clementi, 299— An episodical andante, 300— General principles for the construction of the Contents. free fantasia, 301 — Choice of keys — 302, 303.— Course of modulation, 304, 305 — Methods of thematic development, 306 — Episode, 307 — The return to the first subject, 308— Examples, 309-312— The Recapitulation, 313— The regular form, 314— The first subject; often with new counterpoint, 315 — The Bridge-Passage, 316 — Omission of the bridge-passage, 317- Key of the second subject, 318, 319 — The second subject in more than one key, 320, 321 — Treatment of the second subject in a minor movement, 322-326 — Irregular recapitulations, 327 — The first subject in the sub- dominant, 328 — The second subject preceding the first, 329 — Abridg- ment or omission of first subject, 330 — Extension of first subject, 331 — A first subject beginning in a different key from that in which it ends, 332 — Abridgment of the second subject, 333 — The second subject considerably altered, 334, 335 — Exceptional key for second subject, 336 — The entire recapitulation of a minor movement in the tonic major key, 337 — Very irregular recapitulation, 338 — The Coda, 339 — Example by Beethoven, 340 — New themes introduced in the coda, 341, 342 — Alteration of tempo, 343 — The infinite variety of the sonata form, 344. CHAPTER IX.— Modified Sonata Forms page 195 Modified sonata forms defined, 345 — The Abridged Sonata Form, 346— How it differs from the old sonata form, 347 — Adagio from Beethoven's sonata, Op. 10 No. I, analyzed, 348-353 — Analysis of slow movement from Beethoven's sonata in D minor, 354 — Ditto from Mozart's sonata in F, 35S> 356 — Mendelssohn's Presto Agitato in B minor, 357, 358 — The exposition in this form never repeated, 359 — The Overture, 360 — Its old form, 361 — The overture in sonata form, 362 — The overtures of Mozart and Beethoven, 363-365 — A slow introduction common, 366 — Overtures by Weber, Spohr, and Mendelssohn, 367 — Exceptional repeat of the exposition, 368 — Modern opera overtures, 369— The Concerto: meanings of the word, 370 — Form adopted by Mozart and Beethoven for the first movement; the double exposition, 371 — The difference between the two expositions, 372 — The second exposition often longer than the first, 373 ■ — Mozart's practice in this respect, 374, 375 — Beethoven's method, 376 — The second exposition more ornamented, 377— The first exposition ending on the dominant, 378 — Entry of the solo instrument, 379— The second and third parts of the movement, 380 — The Cadenza, 381 — The modern concerto form introduced by Mendelssohn, 382 — The Sonatina, 383 — Example by Kuhlau analyzed, 384 — Vague use of the name, 385, 386. CHAPTER X. —The Modern Rondo (Rondo-Sonata) Form page 212 The later Rondo form a modification of the Sonata, 387 — The rhythmic form of the first subject, 388 — Its song-like character, 389 — The exposition, 390 — Difference between second subject and episode, 391 — Key of second subject, 392 — Repetition of first subject at close of exposition, 393 — Episode, 394 — Recapitulation, 395 — General summary of the form, 396 — Analysis of rondo in Beethoven's sonata, Op. 14, No. I, 397-399 — Ditto in Beethoven's sonata, Op. 22, 400-402 — Rondos without episode, 403 — Analysis of Schubert's Rondo, Op. 107, 404-408 — An irregular rondo analyzed, 409-410 — This form always employed either as a separate movement or as a finale, 411. CHAPTER XI. — Mixed and Indefinite Forms page 227 What are meant by mixed and indefinite forms, 412 — Mixed Forms, 413 Analysis of finale of Weber's sonata in D minor, 414, 415 — Ditto of Contents. xi andante from same sonata, 416 — Example from Mozart's sonata in D, 417, 418 — Ditto from Beethoven's sonata, Op. 2, No. 1, 419 — Other examples by Beethoven, 420-422 — Schubert's Impromptu in F minor analyzed, 423, 424 — Finale of Schubert's quintett, Op. 114, 425, 426 — Indefinite Forms, 427 — The Introduction, 428, 429 — The Toccata, 430, 431 — The Capriccio, 432, 433 — The Intermezzo, 434, 435 — The Fantasia, 436 — Fantasias in one movement, 437 — The subjects in a fantasia recurring, 438 — Fantasias with detached movements, 439 — The Sonata quasi Fan- tasia, 440 — Operatic fantasias and transcriptions, 441. CHAPTER XII.— Cyclic Forms page 242 Definition of Cyclic Form, 442 — The process of evolution, 443 — The typical cyclic form, and its variations, 444 — Unity of character, 445 — The most important modern cyclic form developed from the Suite, 446 — The three- movement form, 447 — Usual order of movements, 448 — All the move- ments in the same key, 449 — Choice of key for the middle movement, 450-452 — The slow movement in a key in the second degree of relation- ship, 453 — Ditto in an unrelated key, 454 — The slow movements of works in a minor key, 455-456— The form of the second movement, 457 — The second movement in quick tempo, 458 — Form of the finale, 459T-Irregular arrangement of movements, 460, 461 — The two-movement form, 462 — Contrast in the movements, 463 — The four-movement form, 464 — General plan of the movements, 465 — The order of the middle movements optional, 466 — Four-movement works without a slow movement, 467 — Deviations from the normal form, 468, 469 — Different methods of obtain- ing unity, 470-472 — Cyclic works in more than four movements, 473 — The modern Suite, 474 — Quartetts in five movements, 475 — The Serenade, 476 — The Cassation and Divertimento, 477 — The Concerto: its regular form, 478 — Concertos in four movements, 479— Irregular forms : Bruch's violin concertos, 480 — Saint-Saens' piano concertos, 481, 482 — Liszt's concertos, 483 — The Symphonic Poem, 484, 485. CHAPTER XIII.— Organ Music page 258 Some knowledge of the instrument desirable, 486 — The manuals, 487 — The registers, 488 — Eight-feet stops, 489 — Foundation stops, 490, 491 — Mutation stops, 492 — Compound stops, 493 — Flue-stops and reed-stops, 494 — Differences of quality, 495— The pedal organ, 496 — Passages for the pedals, 497— Organ music generally written on three staves, 498 — Combi- nation of different manuals; 499 — Sustaining power of the organ : legato and staccato, 500 — The expressionless character of the instrument, 501 — Pedal points, 502 — Varieties of organ tone, 503— Directions for register- ing, 504— Alterations of tone quality, 505 — Use of the pedals, 506— The melody on the pedals, 507 — Polyphonic writing, 508 — The forms of organ music, 509 — Bach's organ sonatas, 510 — Mendelssohn's organ sonatas, 511 — The sonata form in organ sonatas, 512 — Variety of the movements, 513 — Widows organ symphonies, 514 — Smaller forms of organ music, 515 — ■ Duets for the organ, 516 — The tone style of composition for the organ, 517. CHAPTER XIV.— Vocal Music page 272 Writing for voices, 518 — Association of music with words, 519 — The accents of words and music must correspond, 520 — Care in selection of words, 521 — Position of cadences, 522 — Example of faulty accents, by Handel, 523 — Compass of the voices, 524, 525 — The "registers," 526 — Ineffective xii Contents. example, by Schumann, 527— Use of the upper notes ot the voice, 528, 529— Unvocal writing, 530— Examples, 531, 532— Cross accents, 533— Vocal music without words: Solfeggi, 534— 'Bouche fermee, 535~ Vocal forms : Recitative, 536— Recitativo a tempo, 537 —Examples referred to, 538— Choral Recitative, 539— The Strophic Song, 540— The " durch- componirtes Lied," 541 — Songs in ternary form, 542— Ditto in the older rondo form, 543, 544— Ditto in sonata form, 545— Songs with more than one movement : The Scena, 546-548— The accompaniments of songs, 549 — Pieces for more than one solo voice : the vocal canon, 550 — The Glee : the male alto voice, 551, 552— The Part Song; 553— The Madrigal, 554 —The Motell, 555— The Anthem, 556— Ditto with orchestral accompani- ment, 557— The Church Cantata, 558— The Church Service, 559 — Fugal writing for voices, 560 — Examples of good subjects, 561 — The Mass, 562 — The largest vocal works : Cantata, Oratorio, Opera, 563, 564 — The indefiniteness of the larger vocal forms, 56?. Applied Forms. CHAPTER I. INTRODUCTION. i. In the preceding volume of this series, bearing the title of Musical Form, we treated the question of the gradual develop- ment of musical compositions from their simplest elements. It was seen in that volume how everything springs ultimately from the embryo, or germ, which we name the motive. We saw how by the combination of two motives we obtain a section, how two sections form a phrase, and how a second phrase added to a first makes a sentence, or period {Musical Form, Chapters II., III.). It was also shown that the four-bar phrase and the eight-bar sentence constituted the normal form, and that all sentences and phrases of any other length were not new and distinct forms, but merely variations of the normal form, of which we have just spoken. 2. Proceeding a little further, we showed that, by carrying on this process of building up, we obtained by the combination of two sentences the simplest of all complete forms — that known as the Binary Form. It was seen how the binary form could be expanded and modified in various ways without losing its essential characteristics. By adding an episode to an already complete binary form, and then repeating the first part of the movement, either entirely or partially, we obtained the Ternary Form — the only other typical form ; and in concluding the volume it was said that all the larger forms, which still remain to be noticed, were developed from one or the other of these two typical forms, the Binary and Ternary. 3. We have briefly summarized in these few words the contents of our last volume, in order to impress strongly upon the student a point which we have several times had occasion to mention — that all music is an organic growth, and that the binary and ternary forms are developed from the simplest motives by as natural a process of evolution as that by which an oak grows out of an acorn. When, later in the present volume, we deal with the 2 Applied Forms. [Chap. i. largest and most perfect of the forms, such as the Sonata form, we shall find the same process still carried on, though composers themselves may be often but imperfectly conscious of it. It is this development from simple motives, often by a process which might be compared to spontaneous generation, which gives unity of structure to the fugues of Bach and the symphonies of Beethoven 4. Hitherto we have treated merely of form in the abstract. It is true that our illustrations have been taken from works of all kinds, vocal and instrumental ; but in our analyses we have not concerned ourselves with the differences of structure resulting from the nature of the instruments, whether organ, pianoforte, orchestra, or vocal organs, which were the media employed by the composer for the presentation of his ideas. But, as a matter of fact, purely abstract music is very seldom to be met with. We see. it in the examples of chord-progression, &c, to be found in theoretical treatises ; but we can only point to one work in standard musical literature that may be truly considered to be abstract music. This is Bach's " Art of Fugue." Though in the best-known edition (that of Czerny) it appears as pianoforte music, it was not (excepting the two fugues for two claviers) written as such by the composer. This is seen very clearly from the fact that in the autograph all the fugues are written in open score — a procedure which Bach never adopted with his pianoforte or organ fugues— and that it contains passages which cannot possibly be played as they are written, by two hands. 5. When a composer sits down to write a piece of music, its form will be to a greater or less extent influenced by the nature of the instruments for which he is writing. For example, many passages which are perfectly easy for the piano are either difficult or impossible for the violin, and vice versd ; while in composing vocal music it is necessary to take into account the compass and capabilities of the voice or voices written for. As an illustration of what has just been said, let the student compare the solo part of Beethoven's violin concerto with the arrangement of the same work by its composer as a pianoforte concerto, and notice what important alterations are made in order to adapt the music to the technique of the keyed instrument. We do not mean to say that the abstract form of the work is changed ; the sentences and phrases have the same number of bars as before, but very considerable modification is made in the details of the com- position. 6. As distinguished from the abstract fotni treated of in our last volume, form considered in its relation to the medium through which it is presented to the hearer is called Applied Form and it is this with which we have now to deal. The same term is also used to describe the larger forms of instrumental and vocal music, which are developed out of the two typical forms, Chap, i.] Introduction. 3 the Binary and the Ternary, with which the student is already acquainted. 7. Music is broadly divided into two kinds — instrumental and vocal ; and there is a very great difference in the treatment of the two. This will be seen at once, if we remind the student that, while all the notes of vocal music can be played on an instrument such as the piano, by far the greatest part of instrumental music cannot possibly be sung. This distinction, it should be added, is comparatively modern ; instrumental music is of much more recent origin than vocal ; and the first edition of some of the old madrigals describes the music as " apt for voices or viols." 8. Musical instruments may further be divided into two classes — those which are capable of producing complete harmony by themselves, and those which can only produce one note at a time. To the former class belong all keyed instruments, such as the piano, with its various precursors (harpsichord, clavichord, &c), the organ, and the harmonium. In the latter class are included all wind instruments. ' The stringed instruments can, it is true, produce more than one note at a time ; but it is impossible to obtain from them continuous full harmony, as from a piano or organ ; we therefore include them in the second class. The first of these two classes we will call polyphonous instruments ; the second, monophonous instruments. The harp, though really a polyphonous instrument, is seldom employed, except in the orchestra. The whole question of orchestral composition will be dealt with in later volumes of this series • the only instrumental music of which we shall treat in the present work, will be that written for such polyphonous instruments as the piano and organ. 9. Vocal music also may be divided into that which is written for one voice, and that written for more than one. In the former case it is evident that, in order to obtain any complete harmonic effects, the music must have an accompaniment of one or more instruments. By far the most common accompaniment for a vocal solo is that of the piano ; though examples are also to be met with of songs accompanied by the organ, harp, or guitar. Music written for more than one voice may be either accompanied or unaccompanied. 10. As a large part of the present volume will be devoted to the examination of music written for the pianoforte, it will be advisable in the first place to give the student some practical hints as to writing effectively for that instrument. We shall then speak in detail of the various forms of pianoforte music, beginning with the smallest. Some of these have been already met with in the last volume; others will be new to us. From the smaller forms, which will be found to be mostly either simple binary or simple ternary, we shall proceed to the larger forms, Rondo, Sonata, &c. We shall find that these are either extensions or modifications of the ternary form. Our study of instrumental E 2 4 Applied Forms. t cha P' *• forms will be completed by some notice of the organ and organ music. ii. In treating of vocal music, it will be needful to give some explanation of the mechanism of the voice itself, and to follow this by an examination of the relation of words to music — a point on which the most serious mistakes are often made by students. The principal forms of unaccompanied and accompanied vocal music will then be spoken of, treating in the latter case only of music accompanied by the piano or organ. 12. It will be seen that the field of research covered by the present volume is very large; it embraces, in fact, the entire range of music, both vocal and instrumental ; for the forms of orchestral compositions and of chamber music (that is, music written for two or more solo instruments) are in all essentials identical with the forms of pianoforte music. When, later, we come to speak of the orchestra, we shall not have to concern ourselves at all with the form of the music, but only with the means by which it is presented. Those who carefully study this and the preceding volume of the series will, it is hoped, know enough of the subject of musical form to need no further instruction than such as they can obtain for themselves by the examination of the works of the great masters. If these works are seriously approached with the requisite preliminary knowledge, more can be learned from them than from all the theoretical works that were ever written. Without in the least undervaluing the great services rendered to the cause of musical education by such distinguished theorists as Marx, Hauptmann, Lobe, or Dr. Riemann, we say unhesitatingly that the best masters in com- position are Bach, Mozart, Beethoven, and the other immortal composers, who have brought our art to its present state of advancement. From the student's point of view, no text-books in the world can ever be so beneficial as a thorough study of the masterpiece of musical literature. Chap, ii.] Pianoforte Writing. CHAPTER II. PIANOFORTE WRITING. 13. It may be fairly assumed that every student who attempts composition will have at least some acquaintance with the piano- forte. We have no intention, therefore, in the present chapter of writing anything in the nature of a pianoforte school, or of saying anything about the technique of the instrument, in the sense in which that word is generally understood, as applying to fingering, touch, &c There are, however, some general principles con- cerning the method of writing for the piano, and certain important considerations which the student should bear in mind ; and it is of these that we are now about to speak. 14. If a musician has a practical acquaintance with one instrument only, there can be no question that the piano is the most useful one for him to know. It has the largest compass of any keyed instrument ; * it is capable of executing any kind of passages that lie within the reach of two, or (in the case of a duet) of four hands; and music written for any other instrument, or combination of instruments, can be reproduced upon it, at least approximately, by being suitably transcribed. For these reasons it is most desirable that every student should have some know- ledge of the piano. 15. On the other hand, there are certain shortcomings, inherent to the nature of the instrument, which the composer has carefully to take into account in writing for it. Foremost among these is the inability to sustain a sound of uniform strength. As soon as a note has been struck on the piano, the amplitude of vibration, and therefore the tone, of the sounding string begins to diminish. It is true that our modern grand pianos-possess far more sustaining power than the instruments of the last century ; but even with ours, the diminution of the tone very soon becomes perceptible. A crescendo on a holding note is of course absolutely impossible. It should be added that the sustaining power becomes continually less as we ascend to the higher part of the compass of the instrument. 16. Another point to be noticed with regard to the piano is, that its tone is almost uniform in quality throughout its entire compass. When we come to treat of orchestral instruments, it * Of course it is possible on a large organ to obtain both higher and lower notes by means of 32-ft. and 2-ft. stops ; but such cannot be used alone ; and, in the ordinary sense of the words, the statement in the text is correct. Applied Forms. [Chap. II. will be seen that their quality varies considerably in their different registers — grave, medium, and acute ; in singers also there is a difference between the chest-voice and the head-voice. But on the piano, except with the extremely low bass notes, there is hardly any difference in quality, though, as said in the last section, the sustaining power varies in different parts of the instrument. 17. Dr. Marx, in his admirable " Kompositionslehre," has called attention to the fact that the very shortcomings of the piano to which we have just alluded are, from one point of view, an advantage to the musician. He says that there is no instrument which so readily calls upon the imagination and fancy, both of performer and hearer, to supply its natural defects. If, for instance, we play a slow and sustained melody, or succession of harmonies, we know that, as a matter of fact, there will be a diminuendo upon every note. But the mind carries on the preceding chord to the next one, as if it were sustained at a uniform strength. As an example, let anyone play the following passage from Schumann's " Humoreske " : — Schumann: Humoreske, Op. 20. Ped. Ped. JJ-P g=\ m — i—mi =1 m — H ST * s^ ' ^cz)^=^'£j^=y^ " CpT^ "•-=' T^ T^ Ped. Chap. II.] Pianoforte Writing. The effect produced by this passage is to all intents the same as if it were played on the organ. Though there is a perceptible de- crease of tone on each chord, the mind is hardly conscious of this, and the imagination supplies what is wanting, and carries on the sound of each chord undiminished to the next one. 1 8. The passage just quoted illustrates another point of piano- forte writing which may here be touched upon. It will be seen that the hands are here, so to speak, interlaced — the thumb of the left hand striking a higher note than the thumb of the right. Had facility of performance been the only point regarded, Schumann would have written the passage thus : — Ped. Ped. This would not only have been much easier, but it would have allowed the real bass of the harmony, which Schumann has written in small notes, to be sustained by the hand, instead of by the pedal. But if the student will play both the passages, he will find that the effect of the two is quite different. The composer's object here was to give a certain prominence to the melody in the middle voice : — (We have reduced the length of the notes by one-half, and written in * time, to show the melody more clearly.) This secondary melody produces here an effect somewhat analogous to that which it would have if given on the high notes of the violoncellos in the orchestra; and to obtain this, Schumann employs a somewhat Applied Forms. [Chap. II. constrained position of the left hand, which almost forces the player to bring out strongly the notes played by the thumb. 19. This effect of the interlacing of the two hands has been often employed by modern writers for the piano, and by none with more skill than by Liszt, the greatest pioneer in the domain of pianoforte technique that the world has yet seen. An extract from his transcription for pianoforte solo of Beethoven's symphony in C minor will illustrate this point. Liszt : Transcription of Beethoven's Symphony in C minor. Here, in order to reproduce the composer's idea, it is most important to mark strongly the sforzando on the single notes (DJf and Gfl) on the third beat of each alternate bar ; and if the student will try it, he will find it impossible to do this in any other way than that in which it is here arranged. No rules can be given for the employment of such effects as these ; the composer's feel- ing for what he requires will be the only guide. 20. We spoke in § 17 of the hearer's imagination helping him to supply the defects of the instrument in regard to sustaining power. In the upper part of its scale this deficiency is especially perceptible ; it is generally, therefore, advisable not to write a cantabile melody at a high pitch. This can be sometimes done, as in the following passage by Beethoven : — Beethoven : Bagatelle, Op. 119, Nc. 11. f« - S" tfi^pfe -fO r: Here, as in the passage by Schumann quoted in § 17, we are not really conscious of the decrease of tone on the long holding notes, Chap, ii.] Pianoforte Writing. 9 because the mind carries each one on till the following note of the melody is sounded. In the majority of cases, however, it is best to give such passages to the medium part of the instrument. Let the student examine Mendelssohn's " Lieder ohne Worte," and he will find that, with hardly an exception, the melodies are placed in that part of the instrument which has the most singing power. 21. The sustaining power of the piano is considerably increased by the correct use of the pedal. It would be hardly needful to refer to the proper function of the pedal, were it not for the com- mon experience of pianoforte teachers, that when students see the pedal marked in a. piano passage, they often take it to indicate the use of the soft {una corda) pedal (§ 30). This misapprehension probably arises from the fact that the right pedal (properly the " damper pedal") is so often spoken of as the "loud pedal." It is perfectly true that by putting down this pedal' the tone (as we shall show directly) is increased ; but this is not its principal function. A clear understanding of its correct employment is most important to anyone who wishes to write well for the piano. 22. Anyone who has even an elementary knowledge of the mechanism of the piano is aware that against each of the notes, produced by two or three strings in unison, is placed a piece of felt called a " damper." So long as the damper is pressing against the strings, they are unable to vibrate. When a key is pressed down, a hammer strikes the strings opposite to that key ; the same move- ment lifts the damper off those strings, and allows them to vibrate while the key remains down. As soon as the finger leaves the key, the damper is released and falls back upon the string, stopping its vibration. If there were no dampers, each note would con- tinue to sound after the finger had left the key, until the vibrations died away of themselves. 23. When the pedal is pressed down by the foot — and here let it be distinctly understood, that when the word " pedal " is used without qualification the damper-pedal is always meant — the dampers are lifted from the whole of the strings simultaneously. The result of this is, that now, when the finger quits a key, the damper, being held off by the pedal, does not fall back on the string ; consequently the note that has been struck continues to sound as if the finger were still holding it down. Of this the student can convince himself by putting down the pedal and striking a chord staccato. The chord will be sustained until he releases the dampers by raising his foot from the pedal. 24. Now let him try another simple experiment. Let him, without putting down the pedal, strike a single note, for instance, the C below the treble staff, with moderate force. Then let him put the pedal down, and strike the same note again, with as nearly as possible the same strength as before. He will notice a per- ceptible increase in the volume of tone. This is because other strings of the piano, which are free to vibrate now that the dampers io Applied Forms. [Chap. 11. are not pressing against them, are set in vibration by the pheno- menoti known as " sympathetic resonance." 25. For a full explanation of this phenomenon we must refer our readers to Chapter III. of Helmholtz's " Sensations of Tone," and content ourselves here with quoting his general definition : — " This phenomenon is always found in those bodies which when once set in motion by any impulse, continue to perform a long series of vibrations be- fore they come to rest. When these bodies are struck gently, but periodically, although each blow may be separately quite insufficient to produce a sensible motion in the vibratory body, yet provided the periodic time of the gentle blows is precisely the same as the periodic time of the body's own vibrations, very large and powerful oscillations may result. But if the periodic time of the regular blows is different from the periodic time of the oscillations, the resulting motion will be weak or quite insensible." {Sensations of Tone, p. 56.) 26. This law applies to the case we are now discussing ; the sound of the middle C struck by the finger sets in vibration the same note on all the other strings capable of producing it. We know that strings when vibrating sound, not only their fundamental tone, but some of their earlier produced upper partials (Harmony, § 40). In the present instance, middle C is one of the earlier upper partials of all the following notes— ^ ~o — = — — — — — =r and it will be sounded with greater or less strength on each of these strings, if by raising the dampers we allow them to vibrate freely. Though each separate upper partial will be comparatively weak, yet together they will considerably reinforce the strength of the note struck. ' If a whole chord be sounded when the pedal is put down, the same process of course goes on with each note. This is the true reason of the pedal being called the " loud " pedal. 27. This, however, is a comparatively subordinate object of the use of the pedal. Its chief use, as said above, is to sustain the sound ; and by its proper employment the player is often able to obtain effects which without its aid would require three, or even four hands. The following passage illustrates this point : — Schumann : Etudes Symphoniques, Op. 13. -3- 1 ' 'tJ — — — — *a — cgn ^ r~T"^FT 1^ . =f =f T =F =t .-4-*!- -*! < 4 umpre col Pe dale. Pianoforte Writing. q -fl jOT" $£&£n& ^J3i--±&^ 5Jtt \^r^. W v H ^gg J5 ..55 _ J3- J55 q -^- - -S -TT3- HfcsE* _N—>. r Ttr^grjtr^-^p^rr^.-^? 12 Applied Forms. [Chap. II. j? 8 *!^ •p'l^'T "Wj ===== _ - tfS p p a C BSa „M B KSUJ ■KB- a ■*«■ n-*3-»Sa-i -S--S» ;-«-»-*««y It will be seen that in the first four bars of the above there are two sustained melodies, one above and the other below the harmony given in the semiquaver triplets ; while, in the latter half of the extract, the melody of the bass is heard in three, and even in four octaves. It is obviously impossible to sustain these melodies except by the use of the pedal. 28. A more usual, and not less characteristic, employment of the pedal is seen in our next example : — Kl'1-i.aw: ' Les Fleurs Animees,' No. 5. (The melody marked : the accompaniment PP) Chap. II.] Pianoforte Writing. 13 Here a simple melody is sustained in the middle of the instrument, while both hands execute arpeggios above and below. Notice that the left hand in every bar strikes the note which has been already heard as a melody note, but with less force. This repeti- tion of a note, given first as a melody and then as an accompani- ment, is sometimes used with entire chords, as in the following passage : — S. Heller : Etudes, Op. 43. Zb — 1 ! 1 1 i 1 —j — t- n= -i— 1 ; zsts=j|=^rg=j V V V 1 J _j V V V V — 1 — 1 — 1 — 1 — r — 1 — ' — 1 — I — 1 — f~ V «J tor -»--*--*--*- -*• -*--* J ■•- J- J- **■ *--*- -*■-»■-*■ =355^^ V Fed. V V * Fid. * Fed. V m 1 d 1 1 g i •/>«£ iVrf. iW. Here the real outline of the passage, as well as the actual melodic and harmonic effect obtained is this : — , ..to -m- ^ -r -tt-^r -J--0- \)pr -*■ -j Observe here another instance of the interlacing of the two hands spoken of in § 18. 29, One more use of the pedal still remains to be mentioned. It is often employed to obtain fuller harmony and wider positions of chords than would be possible without its aid. An excellent example of this effect is the commencement of the adagio of Mendelssohn's sonata in D, Op. 58, for piano and violoncello : — 14 Applied Forms. [Chap. n. Adagio* Mendelssohn : Sonata, Op. $B. Semfre arpeggiando col Pedah, **—^ 30. A word should be said here as to the proper use of the soft {una cordd) pedal. When this pedal is pressed down by the foot, the hammers are shifted a little to one side, so as only to strike one string for each key. Hence results a great difference not only in the volume but in the quality of tone ; and the misuse of this pedal (unfortunately but too frequent) by incom- petent players, in order to obtain a factitious and illegitimate piano, is as grave an offence against art as the no less common abuse of the damper pedal. But, for the production of a veiled and ethereal tone, the soft pedal is most useful. In the adagio by Mendelssohn quoted in our last paragraph, the opening bars are repeated near the end of the movement an octave higher, and una corda, with a charming effect. Other examples of the legitimate use of the soft pedal are to be seen in the slow movements of Beethoven's concerto in G, and of his sonata in B flat, Op. 106, as well as in many of Liszt's pianoforte pieces. We strongly advise students in writing for the piano to be very sparing in indicating the employment of the soft pedal. 31. A very important consideration in writing for the piano is the position of the harmonies. As a general rule, it is not good to have the hands too widely separated from one another, because the effect is thin, as in the following extract from the first move- ment of Beethoven's great sonata in B flat, Op. 106 : — Beethoven: Sonata, Op. 10G. -9-b— J5 *- ^= f - -±.ji.± \ J . J* J | and the prevalence of feminine endings to the cadences. Its rhythmic construction is usually far more regular than that of the Alle- mande or Courante ; the first part usually consists of one sentence of eight bars (occasionally extended to twelve by the addition of a second after-phrase), while the second part mostly contains two eight-bar sentences. In only one of Bach's works (the 4th Partita) do we find any departure from this regular four and eight-bar formation ; though in a few other of the Partitas we meet with so-called Sarabandes in which the characteristic figures of that movement are altogether wanting. 57. As our first example we give the first eight bars of the Sarabande in the sixth English Suite by Bach : — :-*J- _1 . J. S. Bach : Suites Anglaises, No. 6. _Ji 1. r>i 3 rJif 1 ' J vv* **=£ r %=*? tP>- T~m PES %gi fts. -fc-4fr=- [tm=£ Here the characteristic figure is clearly seen in the first and fifth bars ; the sentence ends with a half cadence in the tonic key. Chap. III.] The Dance Forms. 3i The second part consists of two eight-bar sentences, the first of which ends with a full cadence in the key of F, while the second, of course, concludes in the key of the tonic. 58. It is not uncommon with Bach to find the Sarabande followed by a variation, known as a " Double." The subject of the Variation forms will be treated of in a later chapter of this volume ; it is enough now to say that in the Double the melodies were ornamented while the harmony remained the same. As a specimen of this procedure we give the first four bars of the Double of the Sarabande of which we have quoted the com- mencement : — J. S. Bach : Suites Anglaises, No. 6. n In two of Bach's English Suites (Nos. 2 and 3) we find similar variations entitled "Les agrements de la meme Sarabande," i.e., the embellishments of the same Sarabande. We occasionally, though much more rarely, find " Doubles " also to the Allemande and Courante. 59. As a particularly perfect and characteristic specimen of the Sarabande, we give a little known piece from Handel's 'Terpsichore.' It is written for stringed instruments, and we have compressed the score on two staves : — Handel: 'Terpsichore.' Largo assai. Applied Forms. [Chap, in As in our last example, the first part ends with a half cadence in the tonic ; but it is at least as common to find it end with a modulation to some nearly related key. In the second part of this Sarabande will be seen instances of the feminine endings spoken of above as a common feature of this dance. 60. The last of the four indispensable movements of the regularly constructed Suite was the Gigue (also written " Gique," or, in its Italian form, " Giga "). This was a quick dance in triple time, most commonly | or \, sometimes also £ or ]J. When intended for dancing, the rhythmic structure was mostly quite regular, as in the following simple example from Handel's ballet ' Terpsichore ' : — Handel: 'Terpsichore.' XT r v cf tt " £&* *£L, Chap. IN.]] The Dance Forms. 33 if — f — i* - ^ — » i* g - 1 — UJ-J »»g ~f The first part of this Gigue consists of an eight-bar sentence regularly divided into two phrases of equal length. The second part contains only one sentence of eight bars extended to sixteen ; the last eight bars can clearly not be considered as a new sentence, as they contain only repetitions and confirmations of the cadence. We have marked the eighth bar after the double bar as (8 = 4), because the inverted cadence here proves that the sentence is not completed ; a new after-phrase is added, and the repetition of this after-phrase (8 = 4 again) gives sixteen bars as the whole length of the sentence. The point which we wish to emphasize is, that the cadences come regularly at every fourth bar throughout. 61. In the Suites of Bach, in whose works all the dance-forms are seen in their highest development, the Gigue often assumes larger dimensions, and much greater complexity. He frequently treats it in the free fugal style, in which, as we already know {Musical Form, § 269), there are great irregularities of rhythmic structure. To illustrate these, we give the Gigue from the third English Suite : — J. S. Bach : Suites Anglaises, No. 3. [Chap. III. 'f£j£?^=£== ■^i ^ i . ^ i i J* J -JVj — J^^^n ^r^Hsr F i*f r [»> V H=S) f ffi -i J i JTT3 . i r3+-i — — pn— r ^Fr^r^i — *— - — s-s-^ 1 ' I—*— 1 *• (8) =2u£- *8* 7^ — — ! — 1 — | .. . r°y^ _T^*— , : « Jte^S- J—S^i= te W * ' ' * , m : * ■ f» f ff- —O «— , » * . | = 1 s- \ ' ' — 'J" ^T* ^ 1 (3) The Dance Forms. 1 p h , Jf. m JT"1 : '■■","■ , i 1 17 J ^s- — 1 *i =^J*=t-^cs^F"j=l -*4 '^ r *■* + -^■b— ^^^*J (8=5) **i^ - (8) J Chap, in.] The Dance Forms. 37 As y is compound time, containing two accents in each bar, it is needful for our analysis to change it to % by the addition of dotted bars throughout. It will be seen that, as is so frequently the case in compound time {Musical Form, § 37), the strong accents come, in the majority of cases, on the third beats of Bach's bars ; the distinction between the strong and weak accents was often disre- garded by the great composers. The first sentence of eight bars is quite regular ; but at the entry of the third voice we see the conversion of an accented into an unaccented bar (compare the fugue by Bach in § 270 of Musical Form); a similar conversion (8 = 1) is seen at the end of the sentence, as is clearly shown by the position of the following cadences — our only guide in analyzing sentences and phrases. Notice the addition of a section to the fore-phrase at (4a), and the feminine ending of the fore-phrase at the fourth bar before the double bar. 62. The second part of this Gigue begins with the fugal treatment of the inverted subject. Here the rhythmic irregu- larities become more frequent than in the first part ; the student who understands the principles laid down in Chapter VIII. of Musical Form will find comparatively little difficulty in following our analysis. It should be observed that in spite of the irregularity of the separate sentences, there is a certain uniformity in the out- line of the piece as a whole, the first part containing altogether twenty bars of " time, and the second twenty-four ; both numbers, it will be seen, being multiples of 4. It will, however, be found quite impossible to divide it into regular eight-bar sentences, as many of the cadences will be in the wrong places. 63. In two instances Bach writes his Gigues in simple quad- ruple time — in the sixth Partita ((£), and the first French Suite (Q), and in the fourth Partita we see a Gigue in ,° 6 time. These, however, are quite exceptional cases. The Gigue in the first Partita, though the time-signature is C. is on ty an apparent exception ; the con- tinual flow of triplets throughout makes it really in ™ time. The student who wishes to write a Gigue had better use either | or " time, and will also do well (at least at first) to avoid complicated rhythms. 64. It was said in § 47 that between the Sarabande and- the Gigue other dance forms were often introduced. A brief descrip- tion of the most important of these will complete this portion of our subject. One of the most frequently met with is the Gavotte. This was a quick dance in duple time (two minims to the bar), beginning with a half-bar, which usually contained two crotchets, for one or both of which quavers might be substituted. In its early form, the first part of a Gavotte contained one sentence, and the second the same, both of normal length. An example of such a Gavotte is the following, from Couperin's "Pieces de Clavecin ": — 38 Applied Forms. [Chap. III. Gayetnent. Couperin : Pifeces de Clavecin, Book I. &)f 65. In the works of Bach and Handel, the Gavotte frequently assumes larger dimensions. The example from Bach's ' Franzos- ische Ouverture,' given in § 323 of Musical Form, contains two eight-bar sentences in the second part; while in the sixth English Suite of the same composer, the first part of the Gavotte contains eight bars (one sentence), and the second twenty-four, these being not divided into three eight-bar sentences, but into two, each of which is extended to twelve bars. Still greater extension is to be seen in the Gavotte which forms the final movement to Handel's overture to ' Semele.' Here the first part contains twelve bars, and the second thirty-six ; in other words, there are three sentences in the second part and one in the first, and each sentence is extended to twelve bars. 66. We give for our next example a Gavotte by Handel, in which we find a contracted, instead of an extended sentence — a rather unusual case : — Chap. III.] The Dance Forms. 39 j-* i J J*1 i — £=• Handel: 'Ottone.' JL^ J--J- J.J. -J-f . J ■iv r 40 Applied Forms. .Chap. III. rs&H -s=- "-Br 1 — r i — o—&— —m J 1 1— . .St 1 -r— f 5 - .*. j. — *_ — « H— 1 » 1 ■J- m — I - -•- i , — « — — i — -»iJ- s — i i i i • — *- -j= — 1= -i —m l 1 1 1 M. -> • - n — w=r ' 1 ' — 1 — 4 The first two sentences of this piece are quite regular ; but the third contains only six bars, and an examination shows us that the first section of the fore-phrase has been elided. The final sen- tence is again of the normal length. 67. Unlike the Allemande, Courante, Sarabande, and Gigue, the Gavotte was often followed by a second, similar to it in form and rhythm, but usually more or less contrasted in character. This second Gavotte was often indicated as " Alternativo," and after it was played, the first was to be repeated. If the first Gavotte were in a major key, the second would be in the same key ; but if the first were in a minor key, the second would be either in the tonic major or in the relative major. It should be remembered that, while each Gavotte considered separately is in the simple Binary form, the two taken together form a movement in Ternary form (see Musical Form, §§ 314, 351). Sometimes (as in the third and sixth of Bach's English Suites) the second Gavotte was written on a "drone bass," i e., on a tonic pedal ; in that case it was called a " Musette." 68. The Passepied was a movement in I time, beginning on the third quaver of the bar, and of a lively character. Handel seldom if ever uses it, but several beautiful specimens of the dance are to be found in the works of Bach. We give, as one of the most perfect in its form, the Passepied from the ' Franzosische Ouverture ' : — J. S. Bach : 'FranzOsische Ouverture.' The Dance Forms. It will be seen that the first part of this piece contains one eight- bar sentence, and the second three. Extensions of sentences are comparatively rare in the Passepied ; in general, the normal rhythm is adhered to. 69. Like the Gavotte, the Passepied is often followed by a second, after which the first is repeated. We quote the second Passepied which follows our last example, not only because of its intrinsic beauty, but because it illustrates a point of considerable importance : — J. S. Bach : 'FranzGsische Ouverture.' fg ;ja^^=g=S: 42 Applied Forms. [Chap, in Passepied /., Da Capo, It will be seen that this second Passepied is written in three-part harmony throughout. This was often done by the older com- posers when one dance was followed by another of the same form, the method being adopted for the sake of obtaining contrast. The second movement, being in three-part harmony, was often described as the Trio ; and this name continued to be used long after it had ceased to be the custom to write the second dance in three parts only. This is the explanation of the terms " Minuet and Trio," " Scherzo and Trio," &c, so often to be met with in modern compositions. 70. The Bourree was a lively dance in duple (f) time, very similar in character to the Gavotte, from which, however, it is easily to be distinguished by the fact that it always begins on the fourth crotchet of the bar — the phrases and sentences therefore ending on the third crotchet — while the Gavotte always begins on the third crotchet. A second Bourre'e, which may also be a Musette (§ 67), sometimes follows the first one. A good specimen of the Bourree will be seen in § 327 of Musical Form. The Rigaudon is almost, if not quite, identical with the Bourree. 71. The last of the old dances to be described, here is the most important of all, because it is the only one which has survived as an integral part of modern instrumental compositions. This is the Minuet. In its older form it was a rather stately dance in 4 or \ time, beginning with an accented note, i.e., on the first beat of the bar. Bach's minuets are always written in \ time ; so are those of Couperin, with one exception. On the other hand, Handel shows a preference for \ time, though examples written in \ are not infrequent (see, for instance, the minuet from the overture to 'Berenice,' given in § 326 of Musical Form). The minuet was often followed by a second, which, if written in three-part harmony : , was frequently described as a "Trio," the first being then repeated. The second minuet Chap. III.] The Dance Forms. 43 might be either in the same key as the first, or in a related key. As an example of this form, we give the Minuet and Trio from Bach's third French Suite : — — J. S. Bach : Suites Frangaises, No. 3. j^g^ rJffz J^ -r-f-ft- ^'U ' J =t (4) 44 Applied Forms. [Chap. III. m f^=f=^f^ -_ i I I i lj -J- J J I Menuet) da Capo. (4) (8) It is seldom that in the minuet much rhythmic irregularity is to be seen ; the most common is that which is shown here — the extension of a sentence by the addition of a second after phrase. Exceptionally, however, we find, in an overture in F for clavier by Bach, a minuet written in three-bar rhythm throughout. 72. When a minuet is followed by a trio, the form of the piece, considered as a whole, becomes ternary, as we have already explained. But occasionally more than one trio is introduced. A striking, instance of this will be seen in the first of Bach's so-called " Brandenburg Concertos." The minuet of this concerto has three trios, the first and third being strictly in three parts, while the second is a Polonaise written in four-part harmony. After each trio the minuet is repeated. The third trio is written in I time — an anticipation of the procedure of Beethoven and chap, in.] The Dance Forms. 45 Schumann. When a minuet has more than one trio, the form ceases to be ternary, and becomes a Rondo, as will be seen later in this volume (Chapter VI.). 73. The minuet in the works of more modern composers (from Haydn onwards) differs materially in character from the older minuet which we have been describing. In the first place, the tempo (which is always ,) is considerably faster, and the stateliness of the old dance gives place to a feeling of merriment and sometimes, one might say, of jollity. This change was due to Haydn, to whom also is most probably owing the innovation of commencing on the third beat of the bar instead of the first, an alteration which gives greater lightness to the music. Handel never begins a minuet otherwise than on the first beat, and Bach only once.* But Haydn in his earliest quartetts sometimes begins on the third beat, as if experimentally, while in the later quartetts and symphonies we find a predominance of the newer form. With Mozart both are about equally common ; but in Beet- hoven's works not more than one in four of the movements written in this form commences on the first beat. Besides this, as the minuet was now treated, not as a dance, but as an abstract dance-form, far greater irregularities in the rhythmic construction are admitted. As examples of the whole, or part, of minuets written in this modern, free style, we refer our readers to the passages quoted in Musical Form, §§ 232, 233, 240, 264, 283, and 285. 74. A still more modern development of the minuet is the Scherzo, which we owe to the genius of Beethoven. It is true that this name had been applied to a minuet by Haydn, who, in his set of six quartetts, Op. 33, calls the minuets either " Scherzo " or " Scherzando." But the term is here used only to denote the character of the music as being " playful ; " for these movements do not differ, except in name, from the corresponding movements which, in other works, Haydn calls "Minuets." But, with Beethoven, the character of the movement is changed. His scherzos are more fantastic, more freakish (if the expression may be allowed), than his minuets. It is difficult to define in words wherein the difference consists ; but the student will feel it for himself if he will compare the scherzos of the first two piano trios of Beethoven's Op. 1 with the minuet in the third trio of the same set. Frequently, also, the form is considerably enlarged, most striking examples of this being the scherzo of the trio in B flat, Op. 97, and of the ninth symphony, which latter nearly approaches the complete " Sonata Form," to be spoken of in a later chapter. 75 Though in the further development of the scherzo it * In the second Minuet (Trio) of his Claviersuite in E flat 46 Applied Forms. [Chap. in. almost, if not entirely, ceases to belong to the dance-forms of which we are treating in this chapter, it will be convenient to complete our notice of the subject in this place. Another innovation introduced by Beethoven was the writing of the move- ment in other than the 4 time of the minuet, from which it was developed. In the string trio in C minor, Op. 9, No. 3, the Scherzo is in 3 time ; while in the piano sonatas in E flat, Op. 3 1, No. 3, and A flat, Op. no, the Scherzo is written in \ time, and in the quartetts in B fiat, Op. 130, and C sharp minor, Op. 131, the two Prestos (J) are really scherzos in common time. In the Scherzos of the Pastoral and Choral Symphonies, both of which are in \ time, Beethoven writes the trios in common time. 76. We said above (§ 72) that with the older minuets more than one trio was occasionally introduced. The same thing is to be found in the more modern forms. Mozart, though he never writes more than one trio to the minuets of his quartetts or symphonies, has several times introduced two in his Serenades, Divertimenti, and other instrumental works. ,A familiar example will be found in the clarinet quintett. Beethoven only twice gives two trios to a minuet, and both times in his earlier works — the string quintett, Op. 4, and the trio, Op. 25, for flute, violin, and viola. On the other hand, he sometimes, after the minuet (or scherzo) has followed the trio, repeats the latter, and concludes with a second repetition of the minuet, as in his fourth and seventh symphonies, the trio in E flat, Op. 70, No. 2, and the quartett in E minor, Op. 59, No. 2. The first to introduce two trios in the scherzo of a symphony was Schumann ; examples will be seen in his symphonies in B flat and C, and also in his pianoforte quintett in E flat. If more than one trio is introduced, it is advisable, for the sake of variety, that at least one of them should be in a different time from that of the scherzo. 77. In many examples of the modern scherzo the ternary form of the old minuet and trio is frankly abandoned. Here, again, the example was set by Beethoven in his pianoforte sonata in E flat, Op. 31, No. 3, and his great quartett in F, Op. 59, No. 1, both of which movements are in sonata form. Mendels- sohn, who was especially happy in his scherzos, has followed in the same direction ; excellent specimens of scherzos in this form will be seen in his " Scotch " symphony, his octett, and his piano trio in D minor. Chopin, in his scherzos for piano, adheres to the ternary form, but gives it larger dimensions. The composer of a scherzo is free to use his own judgment as to the form whicli he may select. 78. Coming now to speak of some of the more important of the modern dance-forms, the first to be noticed is the Waltz (Fr. Valse, Ger. Walzer). This dance, of German origin, was also known, for that reason, as " Deutsche," the name being occasionally Chap. III.] The Dance Forms. 47 met with as "Teutsche." The Waltz is invariably in quick triple time, mostly 4, occasionally \, and may begin either on the first or third beat of the bar. Nearly fifty waltzes were written by Mozart, under the name of " Deutsche Tanze," all of which consist of two sentences, each of eight bars in length, each half being repeated ; and each is followed by a trio (§ 69) of precisely similar construction, to which in one set of dances Mozart has given the name " Alternative " These "Deutsche Tanze " are mostly written in sets, containing from six to twelve numbers in each, and a " Coda " is added at the end of some of the sets. The following example (written for orchestra, but tran- scribed here on two staves) will show the form clearly : — aJT'-l^ Trio. s v — J" J" 1 1 1 =1 ''I'- - * * 1 r r r m — , — , ' 1 ; J i- r r If! I p k " . ,h. , 1 j r . T lCJJ /' ' ' ' ' ' .. r JF- ... ! , -1 _, • — ^ — * — i-z — ' -' — — -■— 1 a Cayto. Cha P- hi-] The Dance Forms. Si This waltz begins with two bars of the dominant, /"and in unison, serving as an introduction, and forming no part of the first sentence. Then follows the first part of the waltz, consisting of one eight-bar sentence modulating to the dominant. The second part contains three sentences, of which the first and third are preceded by a link {Musical Form, § 368). The first of these sentences is in A flat major, the second in E major, and the third in F. The following trio, in B flat, also contains three sentences, of which the second begins in G flat, modulating back to the dominant of the original key. It will be seen that no modula- tion, except that in the first sentence of the waltz, is to a nearly related key. 8r. Irregular rhythmic formations, such as the link here seen, are rarely to be found in waltzes, though the addition of a four- bar phrase to a sentence is not uncommon. Quite exceptionally, however, in a little known waltz by Schubert in G flat, the first sentence consists of two phrases of six bars each. But in general, even in the larger waltzes, the rhythmic construction is perfectly regular, except sometimes in the introduction and coda. 82. The extension of form of which we have just given an example by Schubert prepared the way for the modern " Valse de Salon," of which Chopin's waltzes are perhaps the most perfect examples. These works are so well known and so easily accessible that it is needless to quote any of them here. Their forms are mostly very clear ; the larger waltzes, (Op. 18, Op. 34, Nos. 1 to 3; Op. 64, Nos. 2 and 3; Op. 69, No. 2; Op. 70, No. 3 ; and the waltz without Opus-number in E minor) are in ternary form, which in two cases (Op. 18 and Op. 34, No. 1) is considerably extended. The other waltzes are all in binary form, excepting Op. 42, in A flat, which is a kind of cross-breed between the binary and ternary forms, and belongs to the " mixed forms " referred to in Musical Form, § 396. More modern compositions of this class mostly follow the model of Chopin's waltzes. 83. Waltzes for dancing purposes (as distinguished from those composed simply as pianoforte pieces) are often written in sets , that is, four or five short waltzes, each generally consisting of two sixteen-bar sentences, sometimes of three (in which case the third is usually a repetition of the first), are arranged to follow one another, and are mostly preceded by an introduction, which need not be in waltz time or rhythm, and followed by a coda, containing a reference to some of the subjects already heard. This plan of construction is as old as Mozart ; we find it in the first set of his "Deutsche Tanze" (No. 509 in Kochel's Catalogue), which contains six waltzes with trios, each one being connected with the following by a passage a few bars in length, and concluding with a coda seventy-five bars in length, partially founded upon the subject of the trio of the sixth waltz. e 2 52 Applied Forms. [Chap. Ill, 84. Another dance which requires a short notice, in con- sequence of the importance given to it by Chopin, is the Mazurka. This is a dance of Polish origin, in rather quick 4 time, the special feature of which is the accentuation of the weak beats of the bar, especially in the accented bars (the second and fourth) of a phrase, sometimes in other bars also. This will be seen in the following examples, which are the beginnings of two of Chopin's mazurkas : — .Ibl'P'j JT^?^? — m , r 1 — ; Chopin : Mazurka, Op. 7, No. 3. 1 1 1 ■ 1 ,.*,*■ II .J J ' b>? ~ 4 J — £M-*— £-£-1 — " f [ 4) — fW» J hH-*- 1 We have omitted the first eight bars, which are merely intro- ductory, and do not show the characteristic rhythmical figure of the dance. It will be noticed that in all the accented bars strong emphasis is given to the third crotchet, and that the first beat of the bar is generally subdivided. 85. Our next example shows also the accentuation of the second beat : — Chopin : Mazurka, Op. 6, No. 3. Ch?jv III.] The Dance Forms. 53 Here again we have omitted the first eight bars for the same reason as in our last quotation. We should add that the rhythmic figure is not always so clearly defined by Chopin as in the examples just given. These will suffice to show the character of the mazurka, which seldom contains rhythmic irregularities such as are seen in the above passage. The smaller specimens are in simple binary, and the larger in simple ternary form. We refer students who wish to investigate them more thoroughly to the complete collection of Chopin's mazurkas, of which several good editions, are published. 86. A dance of considerable interest from its employment by the great composers is the Polonaise, or Polacca. This dance is of Polish origin, like the mazurka, which it also resembles in being in triple time, though much slower than the dance just named. A very characteristic feature of the Polonaise is seen in the feminine endings of all the principal cadences. This is less pronounced in the older specimens of this form than in the more modern ; in the best examples, such as those of Beethoven, Weber, and Chopin, the tonic chord in the chief cadences is de- ferred to the third beat of the bar, as in the following cadence from Weber's " Grande Polonaise," Op. 21: — Like the other dances of which we have been treating, the Polo- naise is in simple binary form, which may be extended to ternary form by the addition of a trio. Sometimes, as for example in Chopin's favourite Polonaise in A flat, Op. 53, the form is of con- siderable development. In the same composer's Polonaise in Fj( minor, Op. 44, a mazurka is introduced as the trio ; this, however, is an exceptional case. 87. As Chopin's Polonaises are generally accessible, we prefer, to give two less known examples, the first one showing the older form : — 54 Applied Forms. tChap. Ill J. S. Bach : Suite in B minor. ----- r^_ The Suite from which this movement is taken is written for strings and flute. We have transcribed the score on two staves, but several crossings of the inner parts are not shown in our arrange- ment. The flute doubles the melody in the upper octave. The first part contains exceptionally only four bars, the repetition of which completes the eight-bar period. The feminine endings of the cadences are here not very decided, and consist merely of changes in the position of the tonic chord. In the original score this Polonaise is followed by a " Double" (§ 58) of a peculiar kind ; instead of being a mere ornamentation of the melody, as usual, the melody is itself made the bass of the Double, and a florid counterpoint for the flute is added above it. 88. Our next example is the first of a set of four Polonaises written for pianoforte duet by Schubert, and illustrates some of the more modern features of the dance : — Chap. III.] The Dance Forms. 55 Schubert : Polonaise, Op. 75, No. 1. X t £*r . ESSE ESSE SSSS ESSE CS S S SB ' Pj— J r~i 1 p I ul i ! \m. 1 1 1* i l«"i 1 l«- 1 1 r~ 1 -l » g~* F" '*>r £j ■i- 4- 4- -L ' f | -^- J -p- *•■**■ «TS Sfe ^SssN. 56 Applied Forms. t C!iap. III. c . Sv. r. *t It will be seen that every sentence ends with the characteristic cadence referred to in § 85. Another point often to be noticed in the Polonaise is the rhythmic figure of accompaniment £_£f f * f f which we see here in the second part, and which was probably borrowed from the Spanish Bolero. Other examples of a similar accompaniment will be found in Beethoven's Polonaise for pianc solo, Op. 89, and in Chopin's Polonaise in CjJ minor, Op. 26, No. 1. 89. An interesting variety of the Polonaise is the Marche aux Flambeaux (Ger. " Fackeltanz "), a stately processional music used in some royal courts at weddings. In rhythmical structure and in its cadential formulae it is identical with the form already spoken of; but the finest models of this variety (those written by Meyerbeer) are more extended in their development, containing several trios, or episodes, and therefore belonging (like the minuets referred to in § 72) to the Rondo form. 90. The Bolero is a Spanish dance in J time, having some resemblance to the Polonaise, but differing from it in the absence of the feminine endings to the cadences, and somewhat more lively Chap. III.] The Dance Forms. 57 in character. It is characterized by the peculiar rhythmic figure s of the accompaniment ( *y * * f or L£9'CJ1CJ P ) which we saw also in Schubert's Polonaise, § 88), and in general this figure is heard for one or more bars before the melody of the Bolero itself begins. It will be well to remind the student that such introductory bars form no part of the first sentence (Musical Form, § 265). 91. As a specimen of this dance we give the first sentence of the Bolero in Weber's ' Preciosa ' : — Weber: 'Preciosa.' 1 JJ2. jjj. j. -u — » — < 4 -)j- — C — 5- "= ^ s» ^ 'M^. ^j* ^£g_ j^g * m..m_M. Another good example will be found in the ballet in the first act of Auber's ' Masaniello.' Chopin's Bolero in A minor, Op. 19, though containing the characteristic figure of the dance, is irregular in its rhythmic construction, as it begins with two five-bar phrases. 58 Applied Forms. [Chap. III. The explanation, of course, is that the piece, though written in dance form, was not intended for dancing. 92. The Tarantella is a Neapolitan dance in rapid \ tempo. It usually commences with an up-beat, though examples are not in- frequent (e.g., Chopin's Tarantelle, Op. 43, and Heller's in A flat, Op. 85, No. 2) of the theme beginning on the accent. The dance is so generally known that it will suffice to give the commence- ment of one as an example : — / r-fn 3-«U_«_ Si Auber: 'Masaniello.' -%=&=&-- u r c 1 c r c r it r u r g= g=g=i= g=g=g= rsa^J^ rrC ^-*yj,j^ _jaa. _ SEfES±S=gEg=^gEgIgEifeSE The Saltarello, of which a very fine specimen will be found in the finale of Mendelssohn's Italian Symphony, is closely related to the Tarantella. 93. Though not itself a dance, the March is so nearly akin to the dances in its form that the present chapter is the proper place for treating of it. Like the various dances, the march was originally designed to accompany regular steps — those of soldiers when marching. For this reason it was always written in duple or quadruple time, with strongly marked rhythmical figures, and in general with the normal construction of four and eight bars. The older marches, such as those to be seen in Handel's operas, were Chap, in.] The Dance Forms. 59 in small binary form, divided into two parts, each of which was repeated. The same form is to be seen in the marches by Mozart, though with somewhat more extended developments, and in the march in Beethoven's ' Fidelia' Not infrequently the march was followed by a trio, sometimes by more than one ; the form then became ternary or rondo, as the case might be. 94. Just as we have seen that from the dances were developed the dance-forms, so from the marches grew the march-forms ; that is, pieces written in the time and with the rhythmical figures of the march, but which were not intended for marching purposes. Of these the numerous marches by Schubert for piano duet are examples. They are all in ternary form (with a trio), but differ largely in their dimensions, some of them being developed at con- siderable length. To the same category belongs the War-March of Priests in Mendelssohn's ' Athalie,' which, though part of the incidental music to Racine's tragedy, is directed in the score to be played " before the 4th act." The magnificent march in Spohr's symphony ' Die Weihe der Tone,' and the Funeral Marches of Beethoven, Chopin, and others, are also specimens of march form, as distinguished from the march proper. 95. In theatrical and operatic music the form of the march is largely influenced by dramatic considerations. Thus, the unusual length of the grand march (with chorus) in the second act of ' Tannhauser ' — 2 1 1 bars of rather slow quadruple time — arises from its having to accompany an elaborate procession upon the stage. On the other hand, most operatic marches (e.g., those in the first act of Mozart's ' Clemenza di Tito,' and in the third act of Weber's ' Euryanthe ') are comparatively short. 96. A march can begin either on the fourth or first beat of a bar, the former being, perhaps, the! more common. In the some- what rare case in which a march is written in \ time, it commonly begins on the last quaver. Schubert's two marches, Op. 121, are exceptionally written in \ time ; in the first the theme begins on the first quaver of the bar, and in the second on the last. 97. With regard to their rate of speed marches differ widely. Religious marches, such as those in Gluck's ' Alceste ' and Mozart's ' Zauberflotej' are of course in slow time, as also are the funeral marches of Handel, Beethoven, and Chopin. On the other hand some of the "Quick Steps" (Ger. Sturmmarsche) approach nearly to a presto, and we find almost any intermediate rate of speed in the marches by the best composers. But the form itself differs but little in the various specimens, and in the majority of cases it will be found to be the simple binary or ternary form. 98. So many collections of marches are published that it is needless to give many specimens here. For the sake of complete- ness, we conclude with a short and very characteristic march by Beethoven : — 6o Applied Forms. [Chap. III. Beethoven : 'Egmont.' # n Vivace. — T^ -. 1 'l * ^i^ p/9 J. Jl v .j. v — p.1 1 1 1 1-1-^-5 — C-^— i — f=t=Js- 1 1 1 1 p|^-l-3==±| V (4) Chap III.] The Dance Forms. 61 This march is a specimen of a very simple binary form. The first four bars are introductory ; the first sentence begins at the fifth bar, which we therefore mark as (5 = 1). The march contains three sentences, one in the first part and two in the second, the third sentence being the repetition of the first. There is no trio. 99. We mentioned in § 46 that the ancient Suite consisted of a series of dance movements, sometimes preceded by a prelude, all of which were in the same key, though the mode sometimes alternated between the major and the minor. Composers of the present day sometimes write pieces to which they give the name of Suites, but which have little in common with the old form be- yond the name, and which may be therefore called Modern Suites. In these the movements are not always in the same key. For example, Joachim Raff's Suite for piano, Op. 91, contains a Fantasia and Fugue in D minor, a Gigue with variations in the same key, a ' Cavatina ' in B flat, and a March in D major. Of these movements, neither the Cavatina nor the March is a dance, and the name " Suite " is applied here, and in similar cases, so loosely, that it is hardly too much to say that it may be given to any work consisting of a series of movements, some of them being dances, which are not in sonata form. 100. The student can now exercise his invention and ingenuity in the composition of dances after the model of those shown and described in this chapter. He should be careful to keep the form as clear and distinct as possible — for instance, not to write a waltz so that it might be mistaken for a mazurka, or vice versd ; each dance has its own special characteristics, which must be considered in writing. We also strongly recommend that, with very rare excep- tions, the normal four- and eight-bar rhythm should be strictly adhered to. One of the chief advantages to be derived from the 62 Applied Forms. [Chap. in. writing of dance music is the cultivation of the rhythmic feeling, especially in students with whom this is naturally at all vague or uncertain. When the smaller dance forms are mastered, and the larger ones are to be attempted, occasional extensions, &c, of sentences may be introduced ; but it should not be forgotten that rhythmic irregularity is less suitable to dance music than to almost any other form of composition. cup. iv.] The Smaller Instrumental Forms. 63 CHAPTER IV. THE SMALLER INSTRUMENTAL FORMS. 101. We have now to speak of the smaller instrumental forms, other than the dance forms described in the last chapter. These a r e mostly, though not exclusively, met with in music written for the piano, and, with a few exceptions, are composed on a plan with which the student is already acquainted — that is to say, they are generally either in simple binary or in simple ternary form. They occur under such various names that it is impossible to give an exhaustive catalogue of them ; we must content our- selves with a short account of such as are most frequent ; if the construction of these be understood, little difficulty will be found in analyzing others, whatever they may be called; for the difference is rather in name than in form. 102. With the exception of the Etude, the Prelude, and the Fugue, of which we shall speak later in this chapter, but few of the forms now to be noticed will require detailed description. As was said in Musical Form (§ 379), nearly all small pieces — of course we are now excluding rondos and movements in sonata form — are written either in the simple binary or the simple ternary form. Among the shortest and most concise of these are the various pieces written for the use of children. The great com- posers have thought it not beneath their dignity to compose such works. We need only instance Schumann's " Kinderscenen," Op. 15, and "Album fiir die Jugend," Op. 68; Mendelssohn's "6 Kinderstiicke," Op. 72, and, of more recent date, Heller's charming "Album pour la Jeunesse," Op. 138. With very few exceptions, these are written in the simple binary form, while the exceptions are almost exclusively in ternary form. 103. In pieces of somewhat large development, under what- ever names they may be known, the same two forms are almost always to be found, sometimes in a modified shape. As an illustration of this, we take Beethoven's " 7 Bagatellen," Op. 33, and describe the form of each. We select this work, because the music is easily accessible, and the forms are sufficiently varied to be fairly representative of the class of pieces of which we are now speaking. No. 1 (Andante grazioso, in E flat, f) is in simple ternary form ; the first part extends to the second double bar ; the episode beginning in E flat minor is only twelve bars in 64 Applied Forms. [Chap. iv. length. . A " link " of six bars leads to the repetition of the first part, slightly more ornamented, and followed by a short coda. No. 2 (Scherzo, Allegro, C major, \) is an ordinary scherzo with trio, and therefore (Musical Form, § 314) in simple ternary form. No. 3 (Allegretto, F major, |) is a simple binary form, repeated with a little embellishment. No. 4 (Andante, A major, fj is, like No. r, in ternary form ; but the first part on its repetition is varied by additional entries of the subject in the bass. No. 5 (Allegro ma non troppo, C major, I) is again a very clear ternary form, with a coda of fifteen bars. No. 6 (Allegretto quasi Andante, D major, 4) is another ternary form, with a very short middle section of only one sentence, which is extended to ten bars by a cadential repetition. No. 7 (Presto, A flat major, f) is less regular in structure than the other numbers. It resembles a scherzo of two sentences, followed by a trio in the same key, after which the scherzo is repeated in a varied form, then the trio unchanged, and again the scherzo with further variation. The principal theme appearing not less than three times, the move- ment seems to belong to the rondos, of which we shall speak later in this volume. On the other hand, the two sentences (bars 21 to 36), which we have spoken of as "trio," are so little contrasted with the principal theme that they can scarcely be considered episodical. The fact is that the form is here some- what indeterminate, and it would probably be no less correct to consider the whole piece as far as bar 36 as a larger binary form repeated with ornamentation, as in No. 3. It is not uncommon to meet with movements such as this, of which one cannot define the class with certainty. 104. It is evidently impossible to treat of all the varieties of form to be found in the enormous number of small pianoforte pieces existing. We will take two other well-known collections, and explain their construction, and the student ought then to have little difficulty in analyzing others for himself. We first take, the first book of Mendelssohn's "Lieder ohne Worte." No. 1 (Andante con moto, E major, C) is a simple binary form, the first sentence being repeated. No. 2 (Andante expressivo, A minor, jj) is also a binary form, with a rather long coda. No. 3 (Molto Allegro e vivace, A major, |) is in a condensed sonata form, which, as will be seen when we treat of this form later in this volume, is a modification of the ternary form. No. 4 (Moderato, A major, C) is again a simple binary form, preceded by a short introduction, which is repeated as a coda. No. 5 (Poco agitato, F sharp minor, 4) is another condensed sonata form, but less regular than No. 3 ; while No. 6 (Andante sostenuto, G minor, £) is a simple binary form. 105. The other collection of pieces that we shall examine is Schumann's " Phantasiestiicke," Op. 12. The first piece ("Des Abends ") is in binary form, each part being repeated, and the chap, iv.] The Smaller Instrumental Forms. 65 second repeat written out in full. No. 2 (" Aufschwung ") is given complete in Musical Form, § 386, and is there shown to be in ternary form. No. 3 (" Warum ") is a small binary form ; the piece contains only two extended sentences, the first of sixteen bars, and the second of twenty-six. No. 4 (" Grillen ") has the form of a Minuet and Trio, and is therefore ternary ; on the repetition the middle portion of the first part, which at first appeared in F minor, is transposed into B flat minor. No. 5 (" In der Nacht "), the longest of the set, is a large ternary form, with an extended middle section beginning at the " Etwas langsamer," in F major. Nos. 6, 7, and 8 are also in simple ternary form, which is so clear as to require no explanation. 106. Of the twenty-one separate pieces contained in the three collections we have just been examining, we find that eighteen, or six out of seven, are either in simple binary or simple ternary form. As our selection was made quite at random (for we chose the first sets of pieces that happened to occur to us), it is probable that the result obtained gives us a fair average, and thus bears out what was said in § 101. If, instead of taking our specimens from the works of the great composers, we examine the pianoforte music of the present day, we obtain similar results. The form may be more or less disguised by repetition or variation ; but when we analyze it we shall generally find either the simple binary or the simple ternary form as the basis underlying the piece. We now pass on to notice a few forms which possess special features of their own, and shall first direct our attention to the Etude, or Study. 107. As indicated by its name, the Etude was in the first instance a piece written merely to afford practice to the student in overcoming some technical difficulty. In the simplest kind of exercises nothing else is aimed at ; and we accordingly find that they have no complete form in the sense in which we have been using that word. Take, for example, the two following, from Czerny's universally known " 101 Exercises" : — Czerny : 101 Exercises, No. i. 66 Applied Forms. [Chap. IV. Czerny : toi Exercises No. 38. The first of these Exercises is intended to give equality of power to the fingers; the second is a study in arpeggios. It will be seen that neither forms a complete musical sentence ; both consist simply of alternations of tonic and dominant harmony. 108. The examples just given show the most elementary kind of Etude. Excepting in such little pieces written for beginners, we generally find the form more clearly marked, though irregu- larities of rhythmic construction are by no means infrequent, especially in studies written with a purely technical object. Such, however, in the case of modern studies are the exception. One of the first composers who endeavoured to give artistic interest to technical work was J. B. Cramer, in his celebrated " Studio per il Pianoforte."* The plan adopted in most of these studies is to take a particular figure and employ it more or less continuously throughout the whole piece, as an ornamentation of some clearly defined harmonic outline. An example will best illustrate our meaning. Cramer's Studies are so universally accessible that it is needless to quote any of them in full here. We will take No. 4 in the first book, beginning : — The pattern of triplet semiquavers announced in this bar is continued to the end of the piece, as also is the figure of staccato quavers in the left hand. We here give the harmonic framework of the whole study : — Chap. iv.] The Smaller Instrumental Forms, 67 Cramer : Studio, No. 4. (Outline.) jM> wmmmm ■*&+ «fc=s 1 '°'i F 2 b8 Applied Forms. rChap. IT. The student should compare this with the original text. As the time-signature (if) of the right-hand part is the compound time of I, it is clear that we have here two accents in the bar, and that the time is therefore compound also in the wider sense of the term given in Musical Form, § 36, because it is quadruple, and not duple. This is also proved by the fact that most of the cadences come on the half bar, which is never the case in a genuine duple time, except with feminine endings. In order to show the true structure of the sentences, we therefore divide each bar by means of dotted bars. It will be seen that the piece is in simple binary form, some of the sentences being extended. We have not marked any rests or indications of staccato in the left hand part, because we wish to impress on the student what we have often had occasion to mention — the mental effect of rests. It must never be forgotten that during a rest the mind always retains the impression of the preceding harmony. 109. Let us now adopt the opposite process, and, instead of analyzing an Etude, put one together, beginning with the harmonic outline. We will suppose that the piece is to be a study on broken chords, with practice for the weaker fingers of the right hand. We begin by writing down, or if not, by at least having in our minds, the harmonic progressions. Let us make the first sentence, thus :— This passage is the framework of the commencement of a study by Steibelt. The inaccurate harmonic progression in the right hand between the third and fourth bars is an illustration of what was said in Chapter II. of this volume (§§ 36-39) of the freedom which composers allow themselves in writing for the piano. Steibelt fills up the above outline in the following manner : — chap, iv.] The Smaller Instrumental Forms. 69 Steibelt : Etudes, Op. 78, No. 68. S 53= f 4 J3 no. One other example, of more recent date, will suffice for this part of our subject. It is the opening sentence of a study by Henselt ; it will be needless to give the harmonic outline, which is perfectly clear : — Henselt : Etude, Op. a, No. 3. 70 Applied Forms. [Chap. IV. in. It must by no means be imagined that an Etude is always worked out on one pattern, as in the examples we have hitherto given. Often a larger form is adopted, with much greater ' variety of figure. In such cases there will be little if any differ- ence between an Etude and the smaller forms that we have pre- viously described, excepting that, as the Etude is written with a didactic purpose, a larger amount of technical difficulty may prob- ably be found. The Etudes of Chopin and Henselt, for example, are with hardly an exception beautiful little pieces, in simple binary or simple ternary form, in which are introduced the special technical effects characteristic of their composer's styles. Stephen Heller's Etudes (among the most charming of any existing) were avowedly written less as studies for executive difficulty than to teach correct phrasing, and a good style of playing. In Clementi's celebrated " Gradus ad Parnassum " we find many numbers which are quite as much aesthetic as technical in their scope. Some are regularly developed sonata movements in form ; others are com- plete canons or fugues. On the title-page of the " Gradus " Clementi describes the pieces as " Exercises in the strict and elegant styles." An examination of a very large number of Etudes of all styles, and of different dates, justifies the generalization that the Etude may be written in any form that the composer may select, while, as a matter of fact, the great majority are either in the simple binary or simple ternary form. ii2. A very important form, from its frequency, is the Prelude ; at the same time it must be said that there is perhaps hardly any name for a composition which is applied in so many different ways. To such an extent is this the case, that it is almost impossible to lay down any fixed rules for the student as to what a Prelude should or should not contain. All that can be done here is to give a description of some of the chief kinds of Preludes to be found in the works oi the great masters, Chap, iv.] The Smaller Instrumental Forms. 7i with such remarks as may be necessary to explain their con- struction. 113. The etymological meaning of the word "Prelude" is a piece played before something else — in other words, an introduc- tion. Sometimes this consists of only a few chords, as in the short Prelude (entitled " Fantasia ") to Bach's great Fugue for Clavier in A minor : — J. S. Bach : Fugue in A minor. It may be well to add, for the information of students, that the "Arpeggio" indicates that the chords are to be played in the following, or some similar manner : — 5 &c We have here a simple harmonic progression of the nature of an improvisation, which evidently is not of the usual four- and eight- bar construction. 114. A more extended example of the same kind of Prelude will be seen in the first Suite of Handel's " Suites de Pieces pour le Clavecin" (First Collection), in which similar arpeggios to those just shown are interspersed with passing notes and other ornamentations. The piece is too long to give in full ; we quote the first half only : — Handel : Suite de Pieces, No. 1. Applied Forms. [Chap. IV. Here again it is perfectly obvious that there can be no question of normal rhythmic structure. In pieces of this kind, as in many examples of the Fantasia, there is no regular form. Another Pre- lude by Handel, very similar in character to the above, is that in B flat which opens the first Suite in the Second Collection. 115. Another kind of Prelude frequently to be met with in the works of Bach closely resembles the Etude in the persistence with which one rhythmic figure is worked throughout. In such cases the form is mostly the simple binary, the plain harmonic progres- sions being more or less elaborately ornamented. As an example of this form we give the framework of the first Prelude of the " Wohltemperirtes Clavier " : — Bach : Wohltemperirtes Clavier, Prelude 1. (Outline.) 10 y 1— g — — & — ?»* — > -s>- rz> -W-- r= =H — s» & •SB- * « na=F- — wr-- hg=J3Eg-J_g-l 1 r s— H=3 (« (8=5) (6) (8) Chap, iv.] The Smaller Instrumental Forms. 73 (7) (8=5) By comparing this outline with the original it will be seen that the Prelude is written in pure five-part harmony almost throughout. It contains three sentences, the first, which ends with a full cadence in the dominant key, being extended to eleven bars ; the second is of normal length, and the third is extended to sixteen bars. The simple binary form here is quite clear. 1 1 6. It is comparatively seldom that each harmony extends over a whole bar, as in the example just given. Usually the changes are more frequent. To illustrate this, we give the be- ginning of the sixth Prelude in the same work : — Bach : Wohltemperirtes Clavier, Prelude 6. (Outline.) mmmmmm Here it is evident that the crotchet is the unit of measurement, not the minim, as in the first Prelude. The time is therefore quadruple, and in order to understand the rhythmic structure we divide each bar into two by dotted bars. (Compare the examples in §§ 50, 61, and 108.) Here we find a piece beginning in the middle of a sentence (Musical Form, § 266) ; for after the cadence with which the Prelude opens we have to the end of our extract a perfectly regular eight-bar sentence, of which it is clear that the first bar forms no part. This Prelude again is in simple binary form, with various extensions of its sentences in its latter half. 74 Applied Forms. [Chap. IV 117. In other Preludes of the " Wohltemperirtes Clavier," especially in the second book, we see the larger binary form in which each part is repeated. We gave one of these in § '330 of Musical Form. Even finer and more extended examples are the Preludes in G sharp minor (No. 18), and B flat (No. 21) of the second book. No. 5 (in D major) is a very remarkable anticipa- tion of the modern sonata form, to be treated of later in this volume. ii 8. In Bach's Preludes for the organ we find further varieties of form. Of the distinctive characteristics of organ music we shall speak later in this volume (Chapter XIII.) ; at present we are con- cerned merely with the essentials of the form, and not with the manner of its presentation. Many of the smaller Preludes are founded upon chorals, and in these we find great diversity of treat- ment. Sometimes the melody is merely accompanied by a florid counterpoint, as in the three Preludes on the choral " Wer nur den lieben Gott lasst walten" (Peters, V. 56, 57)* ; at other times the choral itself is treated in canon, and accompanied by free parts. Of this the prelude on " Liebster Jesu, wir sind hier" (quoted in Double Counterpoint, § 399) is a good example, while others, more extended, are those on " Gottes Sohn ist kommen " (Peters, V. 20), and " Dies sind die heil'gen zehn Gebot " (Peters, VI. 50). Many of the preludes are in fugal form, while some are elaborate Fanta- sias, among the finest examples of the latter being " Ein' feste Burg" (Peters, VI. 58) and " Komm, heiliger Geist, Herre Gott" (Peters, VII. 4). 119. The organ preludes not founded upon chorals are nearly all in simple binary form, sometimes comparatively short, some- times extended to considerable length. In only one case — the first of the "Eight small Preludes and Fugues" (Peters, VIII. 48) — do we find the form we referred to in § 117, which Bach so frequently employs in his Clavier Preludes, in which each part is repeated. 120. As a fair average specimen of the large binary form used by Bach in the organ preludes, we will analyze that in F minor (Peters, II. 29) : — J. S. Bach : Organ Prelude in F minor. ■-■*■-. \ m J i J_ * For the identification of the preludes spoken of, we give references to the Peters edition of the organ works. The Roman numerals indicate the volumes, and the Arabic the pages. Chap, iv.] The Smaller Instrumental Forms. 75 7- <*&&-* =3 J-luusJ J-*— - —J a, (8=1) 7 6 Applied Forms. [Chap. IV. 25 === ^-n^ ^.Fn^ =*=*= i — i — T r (2) I" I r2 ..ra :£= ■I- Kg felBS B gjgg ;l 1 - r-i — , r ^^EE (8) Chap, iv.] The Smaller Instrumental Forms. 77 '(£b~^ ^~^ mJ ^' fi A!!> 'CTte fflS F 33 J 3SSS3 J-U- S*F* ^=p=^5 tr T""T J— *. pEfci j-. ^Ji^ p£E 45 it** =HEEEEE=_^3 1; fin "'^T^ (8) 1 1" " .^S "^^r ^~^" 7 8 Applied Forms. [Chap. IV, SHEE r ^rfrffwFr % -rsrfrwr 55 swt er i -I 1 1— «i 1— r J— I mmm j-j-j- Chap. iv.] The Smaller instrumental Forms. 79 C6)r _ir We have numbered every fifth bar for convenience of reference. Though, as will be seen directly, the two-part form of this prelude is perfectly clear, its rhythmic analysis offers considerable difficulty, as, indeed, is almost always the case with polyphonic music {Musical Form, § 269). 121. The first part of this binary form extends to bar 32, ending with a full close in C minor. Though it contains four sentences, they are not each of eight bars' length. In the first sentence we find at bar 4 the insertion of an unaccented bar (3a) ; for the cadence at bar 5 shows the end of the fore-phrase. Bar 6 repeats the cadence of bar 5, and is therefore (4a). Similarly bar 9 is a repetition of bar 8, and is (6a), and the first sentence ends at bar n. The next sentence is contracted, ending in bar 17. The cadence of the fore-phrase is found at bar 14 ; counting back from this point, we find that bar n is (8 = 1); while between bars 16 and 17 an unaccented bar (7) is elided. The third sentence extends to bar 25, and is regular in construction, while in the fourth sentence an unaccented bar (3) is elided after bar 27. 8o Applied Forms. [Chap. IV. 122. Before proceeding to analyze the second part of this very fine prelude, let us look at the thematic structure of the first part. The first eight bars are built entirely on the motive the first three notes of which furnish the material for much that follows (see bars n to 13, and 21 to 24}; as the student who understands what was said about the development of the motive in Chapter VII. of Musical Form will readily see. Two other motives are also employed — BarS. and the ascending scale passage in the bass of bar 17, with its counterpoint in contrary motion — i ^;--*-,»- r -T\, -r — t f rf3— ! r 5 -f- n * M I - I 1 123. As is very frequently the case with the old binary form, the second part commences with the transposition into the domi- nant key of the opening sentence of the first part. This sentence extends here to bar 43, and contains the same additional bars (3a), (4a), and (6a), as the corresponding sentence at the beginning oi the prelude. The next sentence (bars 43 to 51) is normal in length and sequential in construction, and leads back to F minor, the tonic key. Sequence is also a prominent feature of the follow- ing sentence (bars 51 to 60), which is prolonged by additional third and fourth bars. The last sentence, which extends from bar 60 to the end of the piece, is more complex in its construction than any of the preceding, and furnishes a good example of the kind of difficulties to be met with in the analysis of music of irregular rhythmic structure. The first part is simple enough ; down to bar 68 the construction is normal ; but the inverted cadence in this bar (I I with feminine ending) shows that the sen- tence is not completed at its eighth bar, which has therefore a double function. Looking ahead, we see there is no other cadence till the end of the piece ; we therefore count backwards from the last bar. Bar 75 is evidently (7) and the preceding bar (6), while the florid cadence in bars 71 to 73 is only a free prolongation of chap, iv.] The Smaller Instrumental Forms. 8i the harmony of bar 70, which is therefore (5), and we see that bar 68 is (8 = 4), the following bar being (4a) because it is simply a repetition of the preceding harmony. 124. In some of the other organ preludes we see still larger developments of the binary form. In the great Prelude in C minor (Peters, II. 56) the first part contains 49 bars, and the second 95. In the Preludes in E minor (Peters, II. 64), B minor (II. 78), and E flat (III., 2), we find such a number of themes that these pieces cannot be classed as simple binary, but would deserve the name of "Fantasia" which Bach has used in many cases, both with his organ and clavier works, for the movements preceding his fugues. The same name might even more appropriately be applied, in consequence of the irregularity of its construction, to the Prelude of the great Fugue in A minor (Peters, II. 54), which begins : — 125. It is not uncommon in the larger forms of prelude, as seen in Bach's works, to find extensive use made of fu.ga.to passages {Fugue, § 358). The organ Prelude in B minor referred to above is an instance of this, and several other good examples will be found in the preludes of the English Suites. Of the form of the fugues which so frequently follow the preludes we shall have something to say directly. 126. The same diversity of form and character which we have found in the Preludes of Handel and Bach is also to be observed in those of more modern composers. Beethoven's "Two Preludes through all the Major Keys " (Op. 39) have no regular form at all, but are like improvisations on short themes of two bars each, with almost incessant modulation. His Prelude in F minor is more regular, and an imitation of the contrapuntal style of Bach's Preludes. Mendelssohn's Preludes (Six Preludes and Fugues for Piano, Op. 35 ; Three Preludes and Fugues for Organ, Op. 37 ; Three Preludes, Op. 104, and Prelude in F minor (without Opus- number) are very diverse in form, the simple binary being the most frequent. Chopin's 24 Preludes (Op. 28) are again widely different from each other, both in form and character. The majority of them resemble short Etudes, but some (e.g., No. 6, 7, and 20) are in small binary form, while one (No. 15, in D flat) is a regular ternary movement. It may, in fact, be said that a com- poser in writing a prelude is free to adopt almost any form that may seem good in his own eyes, so long as he abstains from writing in the larger instrumental forms (Rondo, Fugue, or Sonata forms), for which the name " Prelude " would be inappropriate. 127. Though not strictly speaking one of the smaller instru- mental forms, the Fugue is so frequently found in connection with 82 Applied Forms. (Chap. iv. the Preludes of which we have just spoken, that the present is the most suitable place for saying something about its form. The details of fugal construction have been fully dealt with in an earlier volume of this series ; but, for the sake of those readers who may not possess that volume, it will be well to say a few words here upon the subject. 128. It is scarcely needful to remind the student that a fugue is a composition founded upon one subject (except in the case ot double or triple fugues), which appears successively in all the parts in turn. The appearance of the subject in the second voice (termed the " Answer ") will be at the distance of a fourth or fifth above or below the subject, and in general the subject and answer will enter alternately till each voice is engaged. This part of the fugue, which is entirely confined to the two chief keys of the piece,* tonic and dominant, or (more rarely) tonic anc] sub- dominant, constitutes the exposition of the fugue, which is some- times followed by a second exposition, called the counter-exposition, in which the entries are in different order (Fugue, § 207). 129. The exposition, or counter-exposition, is succeeded by an episode— that is, a passage in which for a time neither the subject nor the answer is heard. Modulations are mostly made by means of the episodes, which introduce entries of the subject in other keys than those of the exposition. These are called '" middle entries." Their number varies in different fugues ; sometimes two or more of such entries will be introduced in succession, forming groups of middle entries ; in other cases each entry will be divided from the next following by an episode (see Bach s Organ Fugue in G minor given on page 38 of Fugal Analysis). After these various middle entries the music returns to the key of the tonic, in which at least one entry of the subject is heard. 130. In this very brief outline of a fugue we have said nothing about such matters as real and tonal answers, counter-subject, entries by inversion, augmentation, or diminution, or stretto, De- cause these matters do not in the least affect the construction of the fugue from the point of view from which we are now regarding it. We are merely considering its general form as a whole ; and the student will have little difficulty in seeing that we have here a ternary, or three-part form — not the simple ternary spoken of in Chapter X. of Musical Form, but an " applied " ternary form. 131. To understand this clearly, let us bear in mind what is the essential peculiarity of the ternary form as we know it. The first part is a simple binary form; the second part consists of an episode in some different key from the first part ; while in the third part the first subject, either complete or in part, returns in the tonic key. Now we have no exact analogy to this in a fugue, for the * We sometimes find incidental modulations to other keys in the course of the subject (Fugue, §§ 40, 41), but these do not affect the general rule here given, as each entry will end in one of the two principal keys. Chap, iv.] The Smaller Instrumental Forms. 83 word " episode " is used in a different sense, and the episodes of a fugue, instead of being strongly contrasted with its principal ideas, are generally developed from them (Fugue, Chapter VII.). But if we look at the ternary form from the point of view of its course of modulation, we shall see the analogy at once. The first part of the ternary form is in the tonic, and nearly related keys ; the second part is the modulating portion to other keys than those of the first part ; and the third part brings back the keys of the first part. 132. Now let us apply this to a fugue. The first part consists of the exposition (and counter-exposition, if there be one), in the two keys of the subject and answer. The second part, termed the " middle section " of the fugue, begins with the first episode that modulates, or with the first entry of the subject in some other key than those of subject and answer, if (as occasionally happens) there is no modulation till after the first episode. The third part (" final section ") of the fugue commences with the return of the subject in the original key, provided that this be not followed by another entry in some other key than that of tonic or dominant. In that case the entry in the tonic will form part of the middle section. An example of this will be seen in Bach's Fugue in E minor given in § 298 of Fugue. 133. If the student will examine the collection of fugues in Fugal Analysis, he will find the three sections marked in each case. We refer him to that volume for fuller information than we have space to give him here. We have, however, said enough to show that every regularly constructed fugue is written in a modification of ternary form. Such irregular fugues as are not in this form have been described and explained in Fugue, Chapters XL and XII. 134. Nearly all small instrumental pieces belong to one or other of the forms we have been describing in this chapter, unless they are Variations, Rondos, or Sonata movements, each of which we shall now proceed to discuss. The irregular formations some- times to be found will be dealt with in a later chapter, under the heading of " Mixed Forms." 135. The student may now begin to compose pieces in the various small forms described in this chapter. He will be allowed a great amount of liberty in the details, but there are two important points that he should bear in mind. First, he should have a definite outline of the piece in his mind before he begins writing, and not put down whatever happens to come into his head. This especially refers to the course of modulation, which should always be carefully thought out, and well balanced. The other point to be particularly regarded is clearness of tonality. If the music is so vague as to leave any doubt as to what key it is in, or if it is so restless that there is a new modulation every bar or two, the effect will most certainly be weak and unsatisfactory. o 2 84 Applied Forms. rchap. iv. It ought to be added that we are not including the fugue among the forms which the student can attempt merely after reading this chapter. To write a fugue it will be needful to study the volume on Fugue in the present series, or some other work treating of the same subject. Chap.Y.] The Variation Forms, 85 CHAPTER V. THE VARIATION FORMS. 136. In speaking of the Simple Ternary Form in Chapter X. of Musical Form, it was said (§ 359) that in the third part of a piece written in this form the chief subject was often varied or embellished, and we gave in the same section an Adagio from one of Haydn's quartetts which illustrated this point. Variation of this kind, whkh is of almost constant occurrence in the ternary form, may be termed incidental variation. We have now to speak of the variation as an independent form of itself — a form, it should be added, of considerable importance, and of almost infinite variety. 137. By the word " Variat ion " in its musical sense is meant the presentation of the same thought, or series of thoughts,~under different aspects Thus the many developments of a motive which we~sEowed in Musical Form (§§ 172-176) are from one point of view variations of the motive. The word is, however, employed in a somewhat different way when we speak of the Variation form. In this a simple theme, which is in almost all cases a s mall binary form, is announced, and then repeated with modifications 5F melody, harmony,~time, key, or anyTd m&nat ion of- these, as many times as the composer may choose. The variations may either constitute an independent piece "by them- selves, or they majJ^iji^ne~nTOVeTri^ iU ' uf a largerworkrguch as arsohata, quartett, or symphony. 138.' The simplest^ and probably the oldest, form of variation is that known in England as a Ground Bass, and abroad by its Italian name, Basso ostinato {i.e. "obstinate bass"). This is a composition in which a theme, generally of four or eight bars, though occasionally of other lengths, was continually repeated, every time with different upper parts. The harmonic framework usually underwent little change, but fresh melodies were super- posed. Many good examples of this form will be seen in the old instrumental works of early English composers, such as Blow and Henry Purcell. The Ground Bass was also frequently used in vocal compositions. As an interesting example we give the air " When I am laid in earth," from Purcell's ' Dido and ^Eneas ' : — 86 Applied Forms. [Chap. v. Puecell : • Dido and jEneas.' Voice. Chaa V.l The Variation Forms. 87 Here the variations are not separated from one another, but continuous, as is almost always the case with a Ground Bass. It is worthy of notice that the chromatic scale descending from tonic to dominant, with which this theme begins, was also used in a slightly different form as a " Ground " by Handel in the opening chorus of ' Susanna,' founded on this theme, and by Bach in his Church-Cantata " Weinen, Klagen," the first chorus of which he subsequently developed into the sublime " Crucifixus " of his great Mass in B minor. In the latter work the bass assumes the following form : — Other good examples of a Ground Bass will be found in Handel's choruses " To song and dance " (' Samson '), " Almighty Ruler " (' Joshua '), and " O Baal, monarch of the skies " (' Deborah '). 139. Closely allied to the Ground Bass are the Chaconne and Passacaglia (Fr. " Passecaille "). Both of these were originally dances, and the former is to be found in the Ballet music of some of Gluck's operas. But in the instrumental works of Bach and Handel we meet with them as variation forms. In Handel's " Suites de Pieces " we find a " Passacaille " (sic) in the seventh Suite of the first book, with fifteen variations, and in the second book there are two Chaconnes, both in G major, the themes being nearly identical, the former of which has twenty-one, and the latter no fewer than sixty-two variations. To illustrate this form we quote the theme and the first few bars of some of the more characteristic variations of the second Chaconne : — 88 Applied Forms. [Chap. v. Chaconnb. Handel : Suites dc Pifeces, Book a. Var. rA=!= Va». ^g^Epg^ ^^g^ g^gg ■I trSnir LJ U3 i&c i?T"£ r I m. r i gV r r P U- I &c :^~ Var. 3. a_I^L_x. Var. 7. Var. 17. Chap. V.] •The Variation Forms. 89 6m- -m-m-m- -m- -m- m- Var. 45. I j J J. J t^^^^^^M -g=g=S /f-p-ff-*— l—Titj = L r * r— rf.-p) Var. S9. -g * 1 ' MP fe-K * r m m1 i frrf j 1 — =* &c. iL, ! 1 m m T" V -m -,»r»F rsr[-p|-rfcS= Var. 62. 90 Applied Forms. (Chap. v. Most of these variations contain no change of harmony, tha alterations being mostly in melodic outline (as in Variations 7, 23, 32, &c), or in rhythmic figure (as in Variations 4, 9, and 41). We give the last variation in full ; it will be seen that it is a little canon in the octave, the harmonic outline of which closely resembles, except in the third bar, the original theme. The whole of the piece may be examined with advantage by those who wish to see how much can be done with a very common, not to say threadbare, sequence of chords. 140. Bach's treatment of the Chaconne and Passacaglia is freer than Handel's. His well-known Chaconne for violin with- out accompaniment consists of a theme of eight bars, of which the second half is a slightly varied repetition of the first, with thirty variations, in some of which the harmonic treatment is very free. In several of the variations the mode is changed from minor to major, and the piece ends with the repetition of the theme in its original simple form, the final cadence being altered, to make a more satisfactory close. 141. In Bach's great Passacaglia in C minor for the organ we find even greater freedom. The work is founded upon the following Ground Bass, which, it will be seen, is of the normal eight-bar construction : — This theme is first announced by the organ pedals without any harmony, as in the example by Purcell, given in § 138. Above this bass Bach then proceeds to write variations. In the first four the bass remains unchanged, and different harmonies are added above it. In the fifth, ninth, and tenth variations, the bass is itself varied by the introduction of rests and ornamental notes. In the eleventh and twelfth variations the theme appears as a melody in the upper part instead of the bass, and in the thirteenth variation we find it in the middle of the harmony, with one part above and one below. In the fourteenth and fifteenth variations the long notes of the theme are no longer present, but its harmonies are suggested by broken chords and arpeggios. From the sixteenth to the twentieth variation the subject re- appears in its original form in the bass, with new counterpoints Ch.f thp r.harr?nn p, w> referJO_EeethovenYThirty-tWQ_yari3tior)S for Piann in r rninnr This piece is so generally familiar that it will only be necessary to say a few words about it. The subject, with its descending chromatic scale in the bass, ! *" Pt.s>>' B4 2 •s of which we have given the harmonies, has much resemblance to that quoted in § 138. Our space will not allow us to give an analysis of these variations ; we strongly advise the student to make one for himself, and to notice the different ways in which Beethoven changes.. the harmonic framework, while never so far disguising the original as to render the theme unrecognizable. Of Beethoven's other variations we shall speak later in this chapter. 143. A much more common form than that of the Ground Bass or Chaconne (at least, with modern composers) is that known as the "Air with Variations," or simply "Variations." This may be either an independent piece of itself, or it may form part of a larger work, such as a sonata, quartett, or symphony. The same general principles apply to the writing of variations in both these cases. 144. The first thing to be considered in variations is the choice of the theme. It is not every subject that is equally well suited for variation. If it be too- short, the piece as a whole is likely to be scrappy and fragmentary; if it be too long, the music will probably become discursive and rambling. As a matter of fact, a theme that is to be varied will be almost always in simple binary form, and in the majority of cases will be found to consist of two sentences of eight bars each. The thirty- two variations by Beethoven, spoken of in § 142. offers one of the few modern examples of a theme_cgnsi$ting of onl y one sentence. ~~T4"37~rrtSTurther desirable that the theme to be varied should (a) T.S., the abbreviation of Tasto solo, indicates that there is no harmony above the bass. g 2 Applied Forms, [Chap. v. be simple, and at the same time sufficiently striking in character to be easily recognized in the different metamorphoses it has to undergo. To this end variety of cadence will be found very helpful. It is true that we sometimes find very beautiful variations in which this point is disregarded — a familiar example being the variations of Mozart's sonata in A ; but this piece is successful in spite of, not because of, the monotony of the cadences, all of which are either half closes or full closes in the tonic key. 146. It was said just now that t he majority of themes for variations were of ^sixteen bars in len gth. Examples ot such themes will be seen in"§§ 316, 317 of Musical Form. But_it_is_ by no means uncommon to find more . extej3d_e4_,_bi&ary_Jojms' -taken as trle"~subjects "for, variations. The variations by Mozart, referred to in the last paragraph, are an example of this; so are the variations in Beeth oven's so nata.jn_A fl"t, <">p 9*7, and his Variations in F, Op. 34, and on Diabelli's Waltz, Op. 120. For tRe^impTeF variations",'" whlcH ""should be studied "first, "the small sixteen-bar theme will be best adapted. 147. Dr. Marx^in his_" Composition.". -diyidea_variations in£o twq^ia^esrz-Formal--and-C-ha*a original harmony. This is the simplest kind of variation, and trrafwhlch is'mosTfrequently found in the older examples of this form. It includes the embellish ment of the melo dy by auxiliary and passing~notes, diatomc^r^rlrornatic, the dispersing of the harmony by means of arpeggios and "broken chords, various com- binations of these devices, &c7 II. Changingjh e harmony of the theme, e ither with or witho ut modification"!)? its melodic form. When this is done, it will be mostly advisable' to introduce few or no changes in the melody, not only because thus it remains easier to recognize, but still more because the effect thus produced is often much more striking. As examples of this may be instanced the sixth variat ion in Beethoven's Fifteen Variations, Op. 35, and the sixth of Weber's Variations on "Vien qua, Dorina bella." If only this and the preceding method of varying be used, the variations will in general be strict. 175. III. By changing the te?npo and the rhythmic figur ation of the theme, as-hrthTrexample by ±Jeethoven analyzed m"% 156- 162,- we— obtain further variations, departing much more widely from the original form of the subject. We shall then have free variations. Not infrequently such variations take an entirely new form (March._M inuet. Polacca —JSEalse.— &c), .jar.„£3Z£n*_as in Beethoven's " Thirty -three Variations," are transformed to a Fughetta or Fugue. ' In"suc7Tcal^es7"the"bond of connection with the theme is sometimes the general harmonic outline^ at other times little more than the rhythmic structure of the music, and the io(5 Applied Forms. [Cnap. v. position of the cadences. In variations of this kind, more skill is required to preserve the artistic unity of the work than in the simpler and stricter variations previously described. 176. IV. It is mostly advisable, whether the variations be strict or free, that the length of their sentences shall_be the^same as in the theme. This is the usual practice of the great masters, andean observance of this rule will conduce greatly to the clear- ness of form of the composition. The exceptions to be met with are almost always in free, seldom if ever in strict variations. The final variation is in general extended by a coda ; here the rule just given does not apply, though in most cases the variation itself which precedes the coda will be of the same length as the theme. 177. Of all existing forms there is none which shows such infinite diversity as (from its very nature) does the variation form. It has therefore been impossible to deal with it exhaustively. All that has been attempted has been to show the fundamental prin- ciples underlying the form, and to. illustrate the application of these principles by reference to the works of the great composers. Chap. vi. 1 The Older Rondo Form. 107 CHAPTER VI. THE OLDER RONDO FORM. 178. Having in our preceding chapters dealt with the most important of the smaller instrumental forms, we have now to treat of those larger forms which are the developments from the earlier and more primitive varieties, especially from the dance forms. It would be highly interesting, did our space permit, to trace the gradual growth of instrumental music from the simplest binary form to the modern sonata and symphony; but this would be beyond our scope, as the present volume is not a history of music, but a text-book of composition. The historical side of the question cannot be altogether overlooked ; but we can only refer to it incidentally, as bearing on our examples ; and students" who wish to investigate the matter thoroughly must go elsewhere for their information. 179. The first of the larger forms of which we have to speak is the Rondo (Fr. " Rondeau "). This was originally a dance, the music to which was sung, while the performers danced in a circle, holding one another's hands. The music began with a chorus ; one of the dancers then sang a solo, after which the chorus was repeated as a refrain. Other solos followed, the chorus being repeated after each. The chorus itself was called the 'Rondeau,' and the various solos 'Couplets.' The Rondeau, as a dance measure, was always in common time. Before long, movements in triple time were also composed in this form ; and, although these could not be used for the dance, the name 'Rondo' was still applied to them. The dance itself is long since obsolete ; but the name and the musical form remain to this day. In general terms, then, a Rondo may be described as a piece of music with a refrain — that is, in which the principal subject recurs at the end of each division of the piece. It is to be met with both in instrumental and vocal music. 180. There are two kinds of Rondo, differing so widely from one another that it will be needful to keep them quite distinct. The older Rondo form is the direct descendant of the dance described in the last section; the more modern Rondo is a modification, or variation, of the sonata form, of which we have as yet said nothing. It is the former of which we shall treat in this chapter, deferring our notice of the latter until the sonata form has been explained. 181. We said above that the name 'Rondeau' was applied io8 Applied Forms. [Chap. VI. not only to the composition as a whole, but also to the principal subject, which served as the refrain. In the older examples of the form which we have examined, the name is always spelt in the French way, as we have spelt it here ; the Italian form ' Rondo ' is almost universal in modern compositions. In many examples by Couperin we find the name given on each resumption of the principal theme, while the connecting episodes still retain the name 'Couplets,' given to them when the music was vocal, as explained in § 179. As a very characteristic example of this form, we give the Rondeau from the Eighteenth Suite (or, as he calls it, ' Ordre ') by Couperin : — Tendrement, sans lenteur. Couperin : Fifeces de Clavecin, Ordre 18. 1.1 Chap. VI.] The Older Rondo Form. 109 g r-r!*-r-^ = 8; ==t 1 u =K=tS= (4) i i -J-i 1 Al j ^-J 1 Al j JKt no Applied Forms. [Chap. VI. We have given the rhythmic analysis, that the construction may be more easily followed. 182. The principal subject, here called ' Rondeau,' is a regular sentence, eight bars in length. This is generally the case in these older rondos ; that in Bach's second Partita, in which the subject is sixteen bars long, is only an apparent, not a real exception ; for the sixteen bars of \ time in that piece are really the equivalent of the eight bars of % seen in the present example, as the principal accents come only on every second bar. (Com- pare the sixteen-bar sentence by Schubert, quoted in Musical Form, § 72.) The episodes ('Couplets') are less regular in Chap, vi.] The Older Rondo Form. hi length The first contains only six bars, the first section of the fore-phrase being elided. This episode is in the dominant key. The second episode is longer ; it consists of a complete sentence in the key of D minor, followed by another abridged sentence of six bars, similar in construction to the first episode. In this a return is made through the dominant key to the chief subject. The third episode, which is in the tonic key, and contains no modulation, consists of only one sentence, the after-phrase of which is repeated in a varied form. The unusually large number of embellishments in the right-hand part are characteristic of Couperin's style. 183. The rondo just analyzed contains three episodes. In these older rondos there was no fixed number of episodes ; in the majority of cases we find two, three, or four; but a much larger number is occasionally to be seen. In Couperin's eighth Suite is a Rondo in B minor, containing no fewer than eight ' Couplets.' This piece, however, is a Passecaille (§ 139), and, though Couperin has given it also the title of 'Rondeau,' it is in reality a combination of the rondo and the variation forms. 184. It will be seen that in the rondo given above no two episodes are in the same key. This is an important point to be considered in composition ; the episodes should always be con- trasted with the principal subject in their character, and mostly in their key also. It is, however, not unusual to find a final episode in the key of the tonic. This would be very bad for a first episode ; towards the close of a piece, after the course of modula- tion is ended, a digression without leaving the tonic key is admissible. 185. We will now analyze the "Rondeau" of Bach's Partita in C minor, to which we referred incidentally in § 182, and which illustrates some points in the construction of the older rondos not shown in the example by Couperin. Our space will not allow us to give the movement here ; but this is the less necessary, as the work is readily accessible in the Peters edition. This piece is much more regular in its rhythmic construction than the rondo by Couperin. The principal subject, in C minor, consists of one sentence of sixteen bars, without any modulation ; the fore-phrase ends in the eighth bar with a half cadence, and the after-phrase at the sixteenth, with a full cadence. There are three episodes, each being a complete sixteen-bar sentence ; the first begins in E fiat major, and modulates to F minor, the fore-phrase ending with a full cadence in that key, while the after-phrase, instead of ending with a full cadence (as was the case in all the episodes in Couperin's rondo), finishes with a half cadence in C minor ; the return of the chief subject is thus more closely connected with what has preceded. 186. After the repetition of the chief subject comes the second episode. This is in the key of the relative major ; the ii2 Applied Forms. [Chap. vi. fore-phrase ending with a half cadence (feminine ending), and the after-phrase with a full cadence in E flat. We then have the chief subject, now with the fore-phrase varied, though the after- phrase retains its original form. The third episode is in G minor, and is in strong contrast with those that have preceded. The chief subject then appears for the last time, but now with a new variation, not only of the fore-phrase, but of the after-phrase also. This variation of the chief subject of a rondo on its subsequent appearances is a very frequent and characteristic feature, not only of the form we are now discussing, but of the rondos of Mozart and Beethoven. 187. The older rondo form, as found in the works of more modern composers, from Haydn onwards, though resembling in many respects the rondos just analyzed, has special features of its own. These will be best understood if we consider the rondo as an extension of the ternary form by precisely the same process by which the ternary form was developed from the binary. Those who have studied Chapter X. of Musical Form will remember that the ternary form contains the three following parts : — (1) Principal subject, which is in itself a complete binary form of at least two sentences. (2) Episode, which may be, but is not of necessity, also a complete binary form. (3) Repetition of chief subject, entire or in part, with or without variation or embellishment. 188. Now if to an already complete ternary form we add a second episode, and then once more repeat the whole or part of the chief subject, we have exactly the older rondo form, as we find it in the works of Haydn, Mozart, Dussek, or Beethoven, and their successors down to the present time. It is evident that a rondo of this kind will contain five parts, instead of the three met with in the ternary form. The student will never have any difficulty in distinguishing between the two forms, if he will only remember that in a ternary form the principal subject never occurs more than twice, and in a rondo never less than three times. 189. Though not properly to be classed among rondos, a moment's thought will show us that a minuet or scherzo which contains two trios will be really in rondo form. Take, for exampl the Minuet in Mozart's clarinet quintett, or the scherzo of Schumann's symphony in B flat. The two trios in these works correspond to the two episodes spoken of above. After each trio the minuet or scherzo is repeated, giving us in all the three appearances of the chief subject, which is the special characteristic of the rondo form. 190. When a minuet has two trios, it is not uncommon to find one of them in the same key as the minuet itself. This is the case in the clarinet quintett of Mozart, referred to in the last Chap. VI.] The Older Rondo Form. "3 paragraph. But in a genuine rondo the episodes are almost invariably in different keys from the chief subject ; and the next question to be considered is, which are the most suitable keys for the episodes? The answer is very simple: the episodes may be in any key the tonic of which is consonant to the original tonic; but the keys most frequently employed are the following : — For a rondo in a major key (i) the subdominant, (2) the relative minor, (3) the tonic minor, and, somewhat less frequently (4), the dominant. For a rondo in a minor key (1) the relative major, (2) the tonic major, (3) the submediant major, (4) the dominant minor. 191. In addition to the keys just named, we occasionally find an episode in a key that is in the second degree of relationship. For example, in Beethoven's Rondo a Capriccio in G, Op. 129, one of the episodes is in E major. Such cases are comparatively rare ; and the student will do well, in his first attempts at compos- ing a rondo, to restrict himself to the keys we have given above. It ought to be hardly necessary to remind him that, as the same modulation should never be made twice in succession, the two episodes must never be in the same key. 192. As an example of the form we are now describing, we give the Rondo from Haydn's sonata in D major, No. 7 of Breitkopf & HarteFs edition. We select this movement, not only because it is perfectly clear and regular in its construction, but also because it is short : — Presto, ma nan troppo. Haydn : Sonata in D. No. 7. J" (8=4) 114 Applied Forms, [Chap. VI. Chap, vi.] The Older Rondo Form. «S ' 1 ^ 1 U " - 1 — — »* (4) Applied Forms. CChap. VI. chap, vi.] The Older Rondo Form. 117 The principal subject of this rondo is a small binary form of two sentences, the first, of the normal length, ending in the dominant, and the second extended to twelve bars by the addition of a second after-phrase. As is very frequently the case in older examples of this form, each sentence is repeated. 193. The first episode is in the tonic minor. Like the chief subject, it is a complete binary form, the first sentence ending in F major, and regular in length, and the second returning to D minor. This second sentence contains twelve bars ; but there is not here (as in the second sentence of the principal subject) an additional after-phrase; instead of this, each phrase, as will be seen from our analysis, is extended by two bars. This episode is followed by an exact repetition of the whole of the principal subject. 194. It is evident that it would have been quite possible for the movement to end here. Had it done so, it would have been a very good example of a short and simple ternary form. The addition of a second episode makes the piece into a rondo. This new episode is in the subdominant key. It is worthy of notice that when one of the episodes of a rondo is in the subdominant, it is almost invariably the second, and not the first episode for which this key is chosen. The reason no doubt is that the subdominant being the key out of which the tonic is derived as a dominant, an early modulation into it has a tendency to reduce the real tonic to a subordinate or secondary position, and thus to confuse the feeling of the tonality. It is exceedingly rare, and certainly not advisable, to make a first principal modulation to the key of the subdominant. 195. The second episode of the rondo we are examining is, like the first, a complete binary form. It is followed by a con- necting sentence, of irregular construction, serving as a "bridge- passage " to reintroduce the original key and the chief subject. In this subject the accompaniment is now varied in the repetition of the first, as . well as throughout the second sentence. The move- ment has no coda, the end of the chief subject being only followed by two repetitions of the tonic chord. 196. Very similar in form to the example just given, though on a considerably more extended scale, and in slow time, is Dussek's favourite Andante known as' "La Consolation." The piece is preceded by an introduction (§ 172), constructed of material quite independent of the subjects of the rondo itself. It is needless to quote a movement so generally familiar as this ; a short analysis will be sufficient. The chief subject of the Andante is a short binary form, each part of which is repeated. The first part contains one sentence, and the second two, all being of the normal eight-bar construction. The first sentence ends, not, as usual with a major subject, in the dominant, but in the key of the relative minor, G minor. The first episode is in the tonic minor key. It is, like the chief subject, a complete binary form, the first n8 Applied Forms. tchap. vi. part (one eight-bar sentence) closing in the relative major (D flat), and the second part (two sentences of fourteen and eight bars respectively) ending' with a full cadence in B flat minor. Both parts of this episode are repeated. 197. The principal subject then recurs; the first sentence is given in its original form and then repeated with a variation in triplet semiquavers ; the two following sentences are only given once, but varied like the first by triplets. The second episode, in E flat, also consists of two sentences, both repeated; the first modulates to the dominant (B flat), and the second ends with a full close in E flat. This episode is therefore again a complete binary form. It is followed by a rather long bridge-passage of eighteen bars, leading back to the principal subject, of which we find now a second variation, in demisemiquavers, after which a coda of fifteen bars concludes the piece. 198. If we compare " La Consolation" with Haydn's rondo, we cannot but be struck with the great similarity of the general outline. In both pieces not only the principal subject, but both the episodes, are of complete binary form, with repetition of both parts. An even more important point of resemblance is seen in the order of modulation. In each case the first episode is in the tonic minor, and the second in the subdominant major. In both pieces also, a bridge-passage connects the second episode with the final return of the principal subject. The two movements may be taken as types of one of the common varieties of the older rondo form. 199. In the majority of rondos, however, the different sections of the work are not so clearly separated from one another by double bars as in the examples we have just analyzed. In Mozart's Rondo in A minor, for instance, a beautiful specimen of this form, which students will do well to examine, the chief subject is a binary form, thirty bars long, without repetition of either of its parts ; an episode in F major, thirty-four bars in length, which immediately succeeds, is followed by a bridge-passage of sixteen bars leading back to the repetition of the chief subject, of which only the first sentence is now given, but with new ornamentation. The second episode is in A major; its first sentence of nine bars is repeated ; but the second sentence (15 bars) leads into another long bridge-passage through which the return is made to the key of A minor, and the final appearance of the chief subject. The whole of this is now heard, with further embellishments, and a coda of twenty-four bars concludes the rondo. 200. To avoid misapprehension, it should be said that when we speak of the subject being in A minor, the first episode in F, and so on, it is not to be inferred that the music remains in those keys throughout the whole of the subject or episode, as the case may be, but only that those are the principal keys, from which incidental modulations are made. Chap. VI.] The Older Rondo Form. 119 201. Very similar in its general form to the rondo just spoken of is Beethoven's Andante in F, beginning : — Here the first episode modulates to, and is mostly in the key of the dominant, while the second, consisting of two sentences, each repeated, is in the key of the subdominant. The principal subject is varied on each repetition, and the coda is of unusual extent and importance. 202. A few new features will be seen in the next example we will take — Beethoven's Rondo in C, Op. 51, No. 1. The principal subject, beginning Beethoven : Rondo in C, Op. 51, No. 1. consists of two sentences, the first eight bars long, and the second extended to nine. The first episode is in the dominant key and begins at bar 1 7, thus — It ends at bar 38 with an inverted cadence in G over a tonic pedal, and is followed by a bridge-passage, leading back through the harmony of the dominant seventh of C to the return of the prin- cipal subject in bar 43. Of this only the first sentence is now repeated, with some florid ornamentation in the after-phrase. 203. The second episode, in C minor, begins at the 51st bar, and is in strong contrast to what has preceded it : — Modulating first to E fiat, and touching afterwards on F minor and G minor, it ends with a full cadence in C minor at bar 72, and is followed by another long bridge-passage, in which at bar 75 the chief subject is introduced in the key of A flat, with a new Applied Forms. [Chap. VI. variation in triplets.* Only a fragment of the subject is heard in this key, the close of the first sentence being altered, so as to finish with a half-cadence in C minor at bar 83. Alternations of the dominant and tonic harmony of C minor lead back to the principal subject in C major at bar 91. The whole of the first sentence is now repeated with some slight variation, and also the first six bars of the second sentence. At bar 105 Beethoven commences his coda with a sudden modulation to D flat, returning at bar 116 to the original key of C major, in which key a new idea is introduced, but only briefly treated. The rondo ends with a reminiscence in the bass (bar 131) of the opening theme. 204. One of the grandest examples of this form, and also one of the most extended in its developments, is the Rondo of Beethoven's great sonata, Op. 53. The principal subject, which is of extreme simplicity, Beethoven : Sonata, Op. 53. and is twice repeated with varied accompaniment, extends to bar 62. It is followed by a passage of eight bars, which should be regarded as a codetta, rather than as a bridge-passage ; for by the latter term is meant a passage leading directly into what follows. The eight bars (62 to 70) in this rondo do not do this, but are merely cadential in the key of C, and therefore a continuation or prolongation of the close of the preceding subject. The first episode, which begins with a unison passage in broken octaves, /■_« — 1 1 — , — .- — s! — e? — ^-S_,S — 5 ffi - > extends from bar 70 to bar 98, and is in the key of A minor throughout. At bar 98 commences a bridge-passage, founded * It is very rare with modern composers to find the chief subject of the rondo in any but the tonic key. C. P. E. Bach, however, often introduces his chief subject in many different keys, sometimes even in those unrelated to the principal tonic. See, for instance, his Rondo in E major, in the third book of the ' Sonaten fur Kenner und Liebhaber.' Chap, vi.] The Older Rondo Form. 121 upon the first four bars of the principal subject, and leading back to the return of that subject in bar 113. This is given in its com- plete form, and without a note of alteration, and on its conclusion in bar 175 it is followed immediately by the second episode, the principal key of which is C minor, and which (like the first episode) begins in unison : — Tf^rrr~ This subject on its immediate repetition is accompanied by semi- quaver triplets, written in free double counterpoint in the octave. The second episode modulates through A flat and F minor, and after returning to C minor ends at bar 220. It is followed by an unusually long bridge-passage of 92 bars, which deserves to be carefully analyzed. On examining it the student will find that it is almost entirely developed from the first four bars of the chief sub- ject. It modulates freely, and entirely through flat keys : — A flat (bar 221), F minor (bar 225), D flat (bar 229), E flat minor (bar 242), F minor (bar 246), B flat minor (bar 257), E flat minor (bar 263), D flat (bar 271), and C minor (bar 275). After alternations of tonic, dominant, and supertonic harmony in this key, the domi- nant chord is reached in bar 295, to which at bar 299 the dominant seventh is added, and this harmony is continued till the final return of the principal subject in bar 313. Only the last 32 bars of this subject now reappear, and at bar 344 the coda begins with a repe- tition of the short codetta seen in bars 62 to 70. This codetta is now considerably extended and leads into the prestissimo (bar 403), in which the chief subject is given by diminution. It should be noticed that though the notes of the subject are written of the same length as at first, the difference in the tempo reduces them to about half their original time value. This is clearly shown by the entry of the subject in minims at bar 485, where the notes have approximately their original length. Let the student notice that much of this prestissimo is again developed from the commence- ment of the chief subject; this will be clearly seen in the left- hand part of the passage beginning at bar 441. The entire move- ment is an exceptionally fine example of the capabilities of this older rondo form in the hands of such a master as Beethoven. 205. Other excellent examples of this form are to be found in the final movements of Weber's sonata in C, Op. 24 (the so-called "Moto Continuo") and Schubert's sonatas in D major, Op. 53, and G major, Op. 78. Of more modern composers, Schumann was very partial to the form, which he sometimes treats with considerable, freedom. His popular 'Arabeske' (Op. 18) .is a very familiar example, with its principal subject in C major, and its two episodes in E minor and A minor respectively. We also refer 122 Applied Forms. [Chap. vi. students to Nos. 2 and 8 of the ' Kreisleriana ' (Op. 16), Nos. 1, 2 and 3, of the ' Nachtstiicke ' (Op. 23), and No. 3 of the ' Three Romances ' (Op. 28) as good specimens of this form. It should be mentioned in passing that in No. 2 of the ' Kreisleriana ' the first episode is in \ time, while the rest of the movement is in f. Though not very often to be met with, a change of time for one of the episodes is quite allowable for the sake of contrast. 206. In describing this form we said in § 188 that as it con- tained two episodes, with three appearances of the chief subject, it naturally divided into five parts. This is the case in all the rondos that we have been analyzing ; but though it is the form to be met with in the large majority of cases, we occasionally find rondos with three episodes. Two of Dussek's finest sonatas fur- nish excellent examples of this. In his sonata in E flat, Op. 75, the rondo has three episodes, the first modulating to the key of the dominant, the second to the relative minor, and the third to the subdominant. In the same composer's last sonata (known as " L'Invocation ") the rondo, in F minor, has the first episode mostly in A flat, the second in B flat minor and D flat major, and the third in F major. Schumann's Novellettein D major (Op. 21, No. 5) is another instance of a movement in rondo form with three episodes. 207. In all the examples hitherto examined the principal sub- ject of the rondo has been a complete binary form, consisting of at least two sentences. But we occasionally meet with rondos in which the principal subject is only one sentence in length. This is the case in the Rondo of Mozart's little sonata in C major, written for beginners (" Fur Anfanger "). This movement, which will be readily recognized by its commencement — is quite short, containing only 73 bars, and is noticeable for the perfect regularity of the four- and eight-bar periods throughout. Only at the final cadence is one additional bar of tonic harmony appended. In this rondo the chief subject, of eight bars, is repeated, and the first episode (in the dominant key) sounds far more like a continuation than a contrast, especially as the last four bars of the principal subject are used in a slightly modified form. The episode is also eight bars long, and a bridge-passage of four bars brings back the chief subject. Then follows a second episode in A minor, also largely founded upon the opening theme ; after which the chief subject recurs, and is followed by a short coda. Had not Mozart expressly called this movement 'Rondo,' we should certainly not have so regarded it ; for one of the most dis- tinctive features of the rondo form— contrast of episode — is almost entirely wanting. As it is, we are compelled in analyzing it as a Chap. VI.] The Older Rondo Form. 123 rondo to consider the chief subject as ending in bar 8 ; otherwise there is only one episode, and the piece is no longer a rondo. Had not the composer himself so described it, we should have said that the movement was in ternary form. 208. In general, if after one eight-bar sentence ending in the tonic (as in the movement we have just been discussing) the first modulation, supposing the piece to be in a major key, is to the key of the dominant, it is better to regard what follows as belonging to the chief subject rather than as episode, because in the majority of cases the music will be more of a continuation than a contrast. As an illustration of this we will take the rondo of Mozart's lovely trio in E flat for piano, clarinet, and viola. It opens with a sentence of eight bars, the melody of which is first given to the clarinet, and then repeated on the piano : — Mozart : Trio in E flat At bar 17 there is a modulation to the dominant, and the clarinet continues with the following theme : — This certainly suggests a continuation of, rather than a contrast to what has preceded, and a little later, at bar 36, we find further evidence to support this view in the introduction of the first two bars of the opening sentence treated in imitation between the clarinet and the viola :— 124 Applied Forms. [Chap. VI. For the sake of clearness we have omitted the arpeggios in the piano part, which fill up the harmony. At bar 5 9 the first sentence is repeated by the piano alone, and we have now a complete binary form, of rather unusual extent — 66 bars. 209. The first episode begins at bar 67 with a bold subject allotted to the viola : — If the student will compare this with the example {b) in the pre- ceding paragraph, he will see at once what we mean by the difference between continuation and contrast. This episode consists of two sentences, each of which is repeated ; and at bar 91a bridge-passage, seventeen bars in length, leads back to the original key, and the first return of the principal subject (bar 108). Of this, as often happens when, as here, it is of considerable extent, only the first sentence is repeated, now as a viola solo, accompanied by quaver triplets for the piano. To this immediately succeeds the second episode in A flat, beginning at bar 116 thus : — W CI > The right hand of the piano part doubles in the lower octave the passage in thirds of the clarinet and viola. This second episode is, like the first, a complete binary form, the first part containing six- teen bars, and the second (which is repeated), twenty-two. At bar 153 begins a second bridge-passage, leading to the third entry of the chief subject (first sentence only), at bar 168. At bar 175 begins a long coda, in the course of which the first sentence of the chief subject once more makes its appearance (bar 185). Toward the end of the coda (bar 212), a portion of the second bridge- passage is heard in the tonic key. 210. We sometimes find rondos so constructed that it is very difficult, if not impossible, to decide with certainty how they should be analyzed. Take, for instance, the rondo of Beethoven's sonata in D, Op. 10, No. 3. Two analyses are here quite possible. We may consider the chief subject as consisting (like that in Mozart's rondo spoken of in § 207) of only one sentence, ending on the first note of bar 9. In that case, there will be three episodes, beginning respectively at bars 9, 33, and 64. But this analysis is open to objection ; first, because the passage commencing at bar 9 has its Chap. VI.] The Older Rondo Form. '25 first six bars m the tonic key, and a first episode will always be in some other key than the tonic ; and secondly, because the third episode (bar 64) is in the first part of it a mere repetition of the first episode, while its second part brings forward no new subject, and is merely free thematic treatment of the first three notes of the principal subject. If, on the other hand, we regard the chief subject as a large binary form, the second part of which begins at bar 9, and which ends at bar 33, we are met by the difficulty that we find no proper second episode. After the episode which begins in B fiat at bar 35, the chief subject recurs at the end of bar 55 ; its second part modulates through G major (bar 68) to B minor (bar 72) ; but the passage between bars 72 and 83, where the chief subject makes its last appearance, cannot, as we pointed out just now, be considered as episode, because it contains no new material. The fact is that we have in this movement a rondo of irregular construction ; and we have analyzed it in some detail to show the student that it is quite impossible to lay down any rules for these larger forms which shall be applicable in all cases. The more extended the form, the more room there is for variation in the details ; and although the rules given in this chapter are observed by composers in the large majority of instances, numerous examples are, nevertheless, to be found in which they are more or less widely departed from. 211. In analyzing Dussek's "La Consolation" in §§ 196, 197, we called attention to the variation of the theme on each repetition. The double variation form on two themes, spoken of in the last chapter (§§ 169, 170), may be regarded as a variety of the rondo form. Here, as we saw, we have three appearances of the chief subject; but instead of two episodes, we have one episode repeated in a varied form. The minuet or scherzo with two trios (§ 76), or with one trio repeated, as frequently with Beethoven, is another variety of the rondo. 212. Sometimes pieces are called rondos which are hot so in reality. Mozart's Rondo in D, has no resemblance whatever either to the form described in this chapter or to the other rondo form to be spoken of later. It is a regularly constructed sonata-form movement, a form of which we shall treat in the Dext chapter. The same is the case with another movement by Mozart, entitled in some editions ' Rondo in B flat':— % SE f£=t £1 • .»: &c. 126 Applied Forms. [Chap. vi. This also is a complete sonata movement. The popular " Rondo alia Turca " of Mozart's sonata in A is also distinctly not a rondo, but is in ternary form. Mendelssohn's ' Rondo Capriccioso,' again, has much more of the ' Capriccio ' than the ' Rondo ' about it. It departs so widely from any acknowledged rondo form that it ought rather to have been entitled simply ' Capriccio.' 213. The student will, it is hoped, have now a sufficient idea of the construction of a rondo to be able to write one if he desires. We recommend him, above all things, to aim in the first instance at clearness of form. The different parts of the move- ment should be readily recognizable, without their being of necessity square cut, or of uniform length. In constructing his episodes, let him not forget that they should be well contrasted with the principal subject, while not destroying the unity of his work as a whole. Exactly how this is to be effected cannot be taught ; it is here that his musical feeling must come to his aid. If he has a natural aptitude for composition, he will not be likely to go far astray ; if not, he had much better leave it alone. Chap. vii.) The Sonata Form: the Exposition. 127 CHAPTER VII THE SONATA FORM : THE EXPOSITION. 214. We have now to treat of the most important, and, with perhaps the single exception of the fugue, the most artistic of the larger forms — that commonly known as the Sonata Form. The word 'Sonata' is derived from the Italian verb suonare, "to play," and was originally applied to instrumental music — " that which was played," as distinguished from ' Cantata '—vocal music, "that which was sung." But in its modern sense the word 'Sonata' is restricted to a composition for one or two instru- ments, containing at least two movements, of which one is generally, though not invariably, in the form to be described in this chapter. The different movements to be found in a sonata will be spoken of later in this volume, when we come to deal with Cyclic forms (Chapter XII.) ; for the present it will suffice to say that by the sonata form is meant that form which is to be found in the very large majority of the first movements, very frequently also in the finales, and sometimes in the middle movements as well. 215. It is not merely in sonatas that this form is met with. There are very few trios, quartetts, quintetts, or symphonies in which it is not employed for at least one of the movements ; and it might just as appropriately be called ' Symphony Form,' indeed this name is occasionally given to it. It is also found, with modifications which will be described in a later chapter, in many overtures and concertos. From the frequency of its employment in first movements, it is sometimes called " first movement form." But the name " Sonata Form " is far the most usual ; and if the student will remember that it is by no means the only form to be found in a sonata, but that it describes that which is generally met with in the first movement, there can be no confusion from its employment. 216. Before proceeding to speak in detail of the construction of a movement written in sonata form, it will be well to point out the essential difference between this form and the older rondo form treated of in the last chapter. We know that in a rondo there is always one principal subject — never more than one — and that between the appearances of this subject are interspersed 128 Applied Forms. [Chap. VII. episodes of a more or less strongly contrasted character. The essential characteristic of the rondo form is diversity. In the sonata form, on the other hand, there are always two principal subjects, and although incidental episodical matter is frequently introduced, there are no independent episodes of the kind with which we are familiar in the rondo. The place of episode is supplied chiefly by the development of material to be found in the principal subjects themselves. In other words, the special characteristic of the sonata form is unity. For this reason some theorists describe it as a "movement of continuity" — an appro- priate but rather clumsy name, while they call the ternary and older rondo forms " movements of episode." How the unity of which we have spoken is to be obtained will be seen when we come to describe the different parts of a movement in sonata form. 217. In the early part of the last century the name 'Sonata' was frequently given to a piece consisting of only a single move- ment, of binary form. The so-called ' Sonatas ' of Domenico Scarlatti are of this kind ; and, as the modern sonata movement springs directly out of this older form, we analyze a short example by Scarlatti, that the student may be able to follow more intelli- gently the larger forms to be afterwards examined. D. Scarlatti : Sonata in G. ■m- Chap, vii.] The Sonata Form: the Exposition. 129 ^s^ Bt ^r~^^ t s^^ ^^^ (2) (2a) (4) ( a* ^^^- 130 Applied Forms. [Chap. VII, This movement consists of two parts, the first containing 37 bars, and the second 41. The first part opens with a subject in the key of the tonic, consisting of a single eight-bar sentence extended to twelve bars by the repetition of the after-phrase. At (a) begins a passage modulating to the key of the dominant to introduce the second subject. Such a passage we call a "bridge-passage" (§ 195); it differs from the " link," that we have several times met with, in this ' respect — that a link is a passage connecting two sentences, but itself, from its want of cadences, forming no part of a sentence, while a bridge-passage will contain at least a complete phrase or sentence, and connects not merely two sentences, but two distinct subjects, or (in the case of a rondo,) a subject and an episode. In sonatas, whether of the older form now under notice, or of the more modern structure, as seen in the works of Beethoven, a bridge-passage of greater or less extent is almost invariably inter- posed between the first and second subjects. 218. The bridge-passage of the present sonata, though con- taining eight bars, does not form a complete sentence, because each pair of bars is repeated, as shown by our analysis (2, 2a, 4, 4 ^ (4)' * g -?=* T=^ .i= ft&-£4 #g; — — -*— '■ 1 _ __ tF -S- 1 <©:-S *= |-JV>-^ — i ~r 1 Pk 1 ^J=J- =* — p>— -,* — fr---f* ' d — ~^^- \ . -»• •? (8=4) g J. ■iA.j A* J. S± lJ. =g r — I r^ — 1= r TO J ^ ■fl -I W -i » -TTT - -»J. ' J. "N — H«=i"- n &c. m~ Pl^i :gz455=a«.; (3) The first sentence is quite regular in form ; the second has an additional after-phrase. It is seldom that a subject twenty bars long is to be found which, like this one, contains not the least trace of a modulation. 227. Our third illustration is somewhat different. Allegro, molto vivace. Schumann : 1st Symphony. =-_ -p. . -p -m . ml i-i- ■*_;«: l_i ■_£■_&■ * :g jk :*£ * w 1 — r 1 1 — l — t ±=t *j*:"] */ ._*_ ^MMM-MmMm ntqez :£==[= B 5 (4)1 =e=e= Chap, vii.j The Sonata Form: the Exposition. 135 N '?*■ -m-. -»• -m- -m- -m- -m* -m~ -f -*• .r t- t- -I- 1- *■ m m T- * Here the two sentences are both of the normal length ; but the after-phrase of the first modulates to the dominant key ; while the fore-phrase of the second is in the key of the subdominant. 228. Less frequent than the ending with a full cadence, yet still not uncommon, is the ending of the first subject with a half cadence in the tonic key. % Allegro ntolto* frx=- =*=5t Mozart : Symphony in G minor. i=J5: -A ^^ =1 = s-r =p=p3 £$ K g= g_ i t i r g r rH a-r g -j g pyyff yyff yyffyyff yffrjfpf IP^ i ^=^ i (8) ?_=*= -J u Hff iffflEEErSELl t££T ^ 1 (8=4) 136 Applied Forms. [Chap. VII. This subject consists of one extended sentence ; for the passage following the full cadence in G minor has evidently the character of a continuation of what has preceded, and must be regarded as a new after-phrase rather than as a new sentence. 229. We seldom in a first subject meet with modulation beyond the nearly-related keys. Beethoven, however, sometimes introduced a sequential repetition of the opening phrase at a distance of a tone or a semitone. The commencement of the Waldstein Sonata is a good illustration of this. Allegro con brio. Beethoven : Sonata, Op. 53. chap, vii.] The Sonata Form: the Exposition. i37 ■gr * ' 4 j j . 4r 4 4 4 4 4. ' -4 -» fr4 (4a) f^ g^^gfe te Here the first four bars are repeated a tone lower, in B Hat. Similar passages are to be seen in the same composer's sonatas, Op. 31 No. 1, and Op. 57— the transposition in the latter case being a semitone higher. In the passage we are now examining, it will be seen that the half cadence is on the dominant of C minor. The major key reappears in the following bar. 230. A word must be said in passing on the manner in which we have marked the division of the phrases here. In Musical Form (§ 39,) it was said that the accented bars were those in which the cadences occurred. It will be seen that at the beginning of this extract the change from dominant to tonic harmony occurs at the third and seventh bars, and not, where we have indicated the (4) and (4a), at the fourth and eighth. It would be quite possible to assume that each phrase begins with the elision of an unaccented bar, and that the fourth bar is prolonged over twa But further investigation has convinced the author that, while the rule above referred to applies in the large majority of cases, there are excep- tions in which it is preferable to look at the passage as a whole, and to consider the phrase as commencing with an accented bar and ending with an unaccented. To this we have an exact analogy in poetry ; phrases commencing with an unaccented bar correspond to the iambic metre (~-|~-|~-|~-), while those in which the accented bar comes first are the equivalent of the trochaic ( |_w|-~|-„). In such cases, however, the application of 138 Appued Forms. (Chap. VII. the general law is seen as soon as we reckon by what we may call the " larger metre," i.e., throw two bars into one. For instance, in the passage just quoted : — « a --l— -I— °,\ Bfe*- The opening of Beethoven's eighth symphony, with its trochaic metre — Beethoven : 8th Symphony. is a similar case. The third and seventh are evidently the accented bars of this passage ; but they are really the accented halves of the second and fourth bars of the "larger metre " — 231. Though in general a first subject is rather short, we sometimes find it of considerable length. The first subject of Beethoven's sonata in A, Op. 2 No. 2 is 32 bars long, and that in his Pastoral symphony contains 53. In such cases as these it will be generally found that the length results from the repetition of a few motives or phrases, and not from the presentation of many different themes. 232. Occasionally the first subject is preceded by a few intro- ductory, or prefatory bars. The opening of Weber's sonata in Chap, vn.) The Sonata Form: the Exposition. 139 C, Op. 24 (quoted in § 268 of Musical Form,) is an illustration of this ; here the subject does not begin till the last crotchet of the fourth bar. A still more striking example is the commencement of Beethoven's 9th symphony, in which the first subject does not enter till the sixteenth bar. This is, of course, an altogether different case from that in which the introduction forms a separate movement in different time, as, for instance, in Beethoven's first and second symphonies. 233. The first subject of a sonata movement is followed by the bridge-passage, by which modulation is made leading to the key of the second subject. It is important to know exactly where the first subject ends, and the bridge-passage begins. For example, in the Waldstein sonata, quoted in § 229, it looks at first as if the passage immediately following the pause belonged to the first subject. The same is the case in Mozart's symphony in G minor (§ 228). In general there is no difficulty in determining the limits of the first subject, if it is remembered that it nearly always ends with a full close or a half close in the tonic key, and that as soon as the music begins to modulate toward the key of the second subject, we have reached the bridge-passage. The last full cadence or half cadence in the tonic key before the commencement of such modulations shows the end of the first subject 234. To make this clear, we quote the bridge-passage in Mozart's G minor symphony, beginning with the last note of the first subject — the last bar of our extract in § 228 : — Mozart : Symphony in G minor. ULJ2 1 ft 1 — ^— 1 «— ]■ «_|_ (8=1) 140 Applied Forms. [Chap. VII. The key of the second subject in this movement is B flat, which, as we shall see presently, is the most usual key for the second subject of a sonata movement in G minor. The bridge-passage therefore modulates toward that key. Its first bars are a repetition of the opening of the first subject, but a variation of the harmony at the fourth bar induces a modulation to B flat, and thence to F major. The bridge-passage ends with a cadence in that key, which, it need hardly be said, is the dominant of the key in which the second subject is to appear. 235. The above passage illustrates two points : first, that when the first subject ends with a half cadence on the dominant, the bridge-passage frequently begins with a repetition of the opening bars. For other examples of the same procedure see the first movements of Beethoven's sonatas in C, Op. 53 and F minor, Op. 57, and the last movement of the sonata in G$ minor, Op. 27 No. 2, in all of which the bridge-passage opens with the com- mencement of the first subject. 236. The other point shown by this extract is the ending of the bridge-passage on the dominant harmony of the key in which chap, vii.] The Sonata Form: the Exposition. 141 the second subject is going to enter. Though occasional excep- tions are to be met with, it would probably be safe to say that in nine cases out of ten the bridge-passage ends in this same way. With the older composers we sometimes find it end with a half close in the tonic key — that is, on the tonic chord of the new key. In Haydn's sonata in B flat (No. 14 of Breitkopf and Hartel's edition,) it finishes thus, and the second subject follows immediately in the key of F. A similar case will be seen in the first move- ment of Beethoven's sonata in C, Op. 2 No. 3. 237. No rules can be given as to either the length or the material of the bridge-passage. The only general principle to be laid down is, that the modulations should be toward the key of the second subject, and not away from it. For instance, if a movement began in C major, and the second subject were, as usual, in G, it would be very unwise to go through the keys of F or B flat (which lie on the opposite side of the tonic) in the bridge- passage. On the other hand, we often find the second subject approached through its tonic minor, as for instance in the first movement of Mozart's sonata in F beginning Here the first subject ends in bar 22 with a full cadence in F, the bridge-passage begins in D minor, and at bar 29 modulates to C minor, continuing in this key till it comes to a half cadence in bar 40. The second subject enters in C major at the next bar. 238. The bridge-passage is occasionally very short, consisting of only a few bars. Thus in Beethoven's sonata in F, Op. 10 No. 2, of which we quoted the first subject in § 225, the bridge is only six bars in length, and it ends, not on the dominant of C (in which key the second subject enters), but the dominant of its relative minor, A minor. Even shorter is the bridge in the first movement of Schubert's unfinished symphony in B minor. The first subject ends at bar 38 with a full cadence in the tonic, and the entire bridge-passage is followed immediately by the second subject in G major. 239. In most modern sonata movements the second subject, which follows the bridge, is of considerably greater extent than the first. We have seen that the first subject seldom contains more than two sentences, or if it contain more, that this will generally be the result of repetitions. But in the second subject it is by no means unusual to find three, four, or even more sentences, each containing some entirely new thought.] Of this we shall give 142 , Applied' Forms. [Chap. vn. examples later. Some writers therefore speak of " tributaries to the second subject," " concluding subject," &c, but this nomen- clature often renders it difficult to define the limits of the second subject itself. ( We therefore prefer to use the term in a wider sense, and to include under the general name " second subject " every- thing contained between the end of the bridge-passage and the close of the exposition. The term "group of second subjects" would be more strictly accurate, but awkward ; and there will be no confusion if the student remembers that the second subject almost always contains at least two distinct ideas, and frequently more. ) 240. The first question which we have to consider is, what are the proper keys in which to introduce the second subject? We have already seen (§ 224,) that the older sonata form, out of which the form which we are now discussing was developed, was a simple binary, on a rather large scale. In this form the first principal modulation was always to a nearly related key — almost invariably to the dominant in a major movement, and in a minor movement either to the relative major or to the dominant minor. In all works in sonata form down to the time of Beethoven (in the com- positions of C. P. E. Bach, Haydn, Mozart, Clementi, Dussek, &c.,) this relationship of keys prevails J and although, as will be • seen directly, Beethoven and his successors have at times employed other keys for the second subjects, yet in the large majority of cases, they too adhered to the practice of the great composers who had preceded them. 241. The great innovation made by Beethoven in the sonata form was the introduction of the second subject in a major move- ment in a key which was in the second, instead of in the first degree of relationship to the tonic. These keys, as the student will know (Musical Form, § 83), are those which are at the distance of a major or minor third above or below the tonic.) But Beethoven does not take any one of these four keys at random for a sufficiently obvious reason. Two of them contain more flats (or fewer sharps) in their signature than the tonic. It should be remembered that every major key is derived from keys that contain more flats than itself; thus C is the dominant of F, and the mediant of A flat. On the other hand, keys containing more sharps are generated from the tonic ; G is the dominant, and E the mediant of C, both being found as upper-partials of that note. ( If - therefore a modulation is made into a flatter key, the tonic at once sinks into a subordinate position as a derived key. For this reason Beethoven never introduces his second subject in the key of the subdominant, and only in one single instance in the flat submediant,4-in the first movement of the quartett in B flat, Op. 130, where the second subject is in G flat major. The movement is irregular in form, and can hardly be taken as a precedent ; but it should be noticed that the key of G flat is too remote from the chap. vii.] The Sonata Form: the Exposition. 143 tonic to cause such a feeling of disturbed tonality as would have been the case had the second subject been in E flat. ( In every other instance of a modulation to a key in the second degree of relationship, Beethoven goes to the sharp side of his tonic — either the major third above or the minor third below. C 242. As examples of major movements in which the second subject is in the key of the mediant, the student should examine the first movements of the pianoforte sonatas in G major (Op. 31 No. 1) and C major, Op. 53, both of which subsequently modulate to the mediant minor, and end in that key.J Less frequently the major mediant continues to the end of the exposition, as in the finales of the piano trio in E flat, Op. 70 No. 2, and the string quartett in F, Op. 135. Occasionally the second subject is throughout in the mediant minor — the relative minor of the dominant (finale of symphony in A ; first movement of quartett in E flat, Op. 127). There is no example in Beethoven of a second subject in the key of the flat mediant — the minor third above the tonic. 243. The submediant is also to be found in several of Beethoven's works as the key for the second subject. J In the first movements of the great trio in B flat, Op. 97, and the piano sonata in the same key (Op. 106), the second subjects are in G major; in the first movement of the quintett in C, Op. 29, the second subject begins in A major, but alternates between that key and A minor, the exposition ending in the latter. In the first movement of the symphony in F (No. 8,) the second subject begins in the sub- mediant (D major), and then modulates to and closes in the dominant. The flat submediant, as already mentioned, is only once employed by Beethoven for a second subject. 244. With movements in a minor key, we find in the older sonata form (as in the Suite forms from which it was developed) that the relative major and the dominant minor are about equally common as keys for the second subject. J Scarlatti shows a decided preference for the latter. Of eighteen sonatas in minor keys by him which we have examined, the second subject is in the dominant minor key in thirteen cases, and in only five is it in the relative major. With C. P. E. Bach the proportions are nearly equal, but m oder n co mpos ers far more frequently select the relative major, though, as will be seen directly, numerous examples of the dominant minor are also to be met with. Haydn and Mozart almost invariably introduce their second subject in the relative major key ; we have only met with one instance in each composer of the employment of the dominant minor — in the first movements of Haydn's ' Farewell Symphony ' in F sharp minor, and of Mozart's string quartett in D minor, No. 13. 245. Beethoven uses the dominant minor key much more frequently for his second subject, chiefly (though not exclusively) in his piano sonatas. Let the student examine the sonatas in F 1 44 Applied Forms. [Chap. vu. minor, Op. 2 No. 1 (finale), in C sharp minor, Op. 27 No. 2 (finale), in D minor, Op. 31 No. 2 (first and third movements), and in E minor, Op. 90 (first movement), and he will see this key- relationship of the two subjects in each case. But, as with the major key, Beethoven also introduces his second subject some- times in the key of the submediant (see the first movements of the Choral Symphony, the quartett in F minor, Op. 95, and the piano sonata in C minor, Op. in). His example has been followed by Schubert in the first movements of his ' Tragic Symphony ' (No. 4), and of the unfinished symphony in B minor, and by Brahms in his piano quintett in F minor. \ 2/\fi. Another innovation due to Beethoven is the employment of the dominant major, instead of the dominant minor for the second subject in a minor movement. This is only found once in his works — in the first movement of the ' Kreutzer ' sonata in A minor, in which the second subject opens in E major, though it very soon modulates to E minor, in which key it ends. J But the example set by Beethoven was followed by later composers, one of the most familiar instances being the first movement of Mendels- sohn's trio in D minor, in which the second subject begins in A major, though the latter part of it is in A minor. Schubert in two sonatas in A minor, Op. 143 (first movement), and Op. 164 (finale), has the second subject ending as well as beginning in E major. A similar case is seen in the first movement of Brahms's piano quartett in G minor, Op. 25, the second subject of which is in D major. 247. Raff, in his third symphony ('Im Walde'), has tried an experiment which has seldom, if ever, been repeated, and which certainly cannot be commended. The key of the symphony is F major, and in the first movement the second subject is in B flat— the subdominant. We have already shown (§ 241,) why this key has a disturbing effect upon the feeling of tonality, and a study of Raff's symphony certainly has not induced us to alter our unfavour- able opinion of that selection of a key for the second subject. Raff has also employed the flat submediant and the flat mediant for his subjects — the former in the first movement of his 'Lenore' symphony in E major, which has the second subject in C, and the latter in the first movement of his sonata for piano and violoncello in D (Op. 183), which has the second subject in F major. In these cases, though their expediency is doubtful, the greater remoteness of the tonics renders the effect much less objectionable than when the second subject is in the subdominant. 248. We said above that the first subject of a sonata move- ment usually contains only one principal idea, or " theme " — to use a somewhat vague but convenient term ; and that this generally consists of not more than two, or at most three sentences. (^ The second subject, on the other hand, is in most cases far more extended. We often find as many as three or four different ideas chap. vii.] The Sonata Form: the Exposition. H5 presented in succession, each complete in itself, and most frequently e nding with a ful l M c,ad png6 ' This was why we said above (§ 239) that the term " group of second subjects " would be more strictly accurate, though not very convenient. We prefer to speak of the different themes introduced as " sections " of the second subject. J The context will always prevent any confusion as to the meaning of the word " section," which we have employed in quite a different sense in Musical Form (§51). 249. In any but the smallest examples of the sonata form it is very rare to find a second subject containing less than two sections. Almost the only instances of this that we can cite from important works are the first movements of Beethoven's sonata in E minor, Op. 90, and of Schumann's symphony in C, in which they are certainly indivisible. These, however, are quite ex- ceptional cases. 250. In modern compositions the second subject is mostly constructed of entirely different thematic material from the first ; at the same time, the contrast must not be too violent ; the second subject ought rather to be like a continuation of the train of thought of the first. The older composers frequently sought to obtain this by founding the first section of the second subject on a portion of the first subject presented in a new aspect.1 An extract from the finale of one of Haydn's quartetts will illustrate this. We first give the first subject— Haydn : Quarleit, Op. 7j, No. i. 146 Applied Forms. [Chap. VII It will be seen that we have here a sentence extended to twelve bars by the addition of a second after-phrase. This sentence is repeated, staccato throughout and with varied harmony, completing the first subject. 251. A bridge-passage, 25 bars in length, commencing and ending with a pause on the chord of the dominant seventh of G, leads to the second subject, which, as illustrating more than one point requiring notice, we quote in full. Haydn : Quartett, Op. 74, No. 1. •gg jgs£jffi -i^ F Hg js^jffl chap. vii.] 2'he Sonata Form: the Exposition. 147 W^^^^X^t^^^zs- 148 Applied Forms. [Chap. vn. (&») pp m I- I ! =P= ^m ifjz rml&z This passage, it will be seen, is founded on the opening notes of 156 Applied Forms. [Chap. vn. the first subject. (Compare § 259.) It leads back through the harmony of the dominant seventh to the tonic key. Such a passage we call a codetta. When it is present, the end of the second subject will be at the last full cadence in the key of that .subject before the double bar. I 267. The repetition of the exposition, though customary, especially with the older composers, is by no means obligatory. It is very rarely omitted by Haydn ; but we find more than twenty symphonies by Mozart in which there is no repeat. Beet- hoven also frequently dispenses with it in his larger works — e.g. the Choral Symphony, the quartetts in F (Op. 59 No. 1,) and F minor (Op. 95), the sonata for piano and violin in C minor, Op. 30 No. 2, the piano sonatas, Op. 57 and Op. 90, &c. With later composers the omission is still more common. In order to ascertain in such a case where the second subject ends, observe its key, or if there be more than one key, the key of its final section. We shall learn in the next chapter that the second part of the movement (the development,) seldom begins in the same key in which the second subject ends, or, at any rate it will- not have a full cadence in that key. In such cases therefore, as also when there is a codetta, the last full cadence in the key of the second subject shows the end of that subject, whether there be a repeat or not. The student who has carefully read this chapter ought to have no difficulty in deciding what the key of the second subject is. 268. We shall now conclude this chapter with a summary, giving as briefly as we can the points to be considered in writing the exposition of a movement in sonata form. The exposition forms the first of the three parts of a sonata movement, and is itself divided into three parts, viz. : (i.) the first subject, (ii.) the bridge-passage, (iii.) the second subject. 269. (i.) The first subject, which is occasionally preceded by an introductory passage (§ 232), begins and ends in the key of the tonic, and seldom contains much modulation. It mostly consists of two or three sentences, sometimes of only one, and is not divisible into sections, like the second subject. In the large majority of cases it ends either on the tonic or dominant chord of the tonic key. 270. (ii.) The bridge-passage is that portion of the movement which modulates from the tonic key towards the key in which the second subject is to be introduced. It varies greatly in length, consisting sometimes of only a few bars, and at other times being of considerable extent, and containing two or three sentences. It sometimes begins with a continuation of the first subject; at other times it is constructed of entirely new material. It usually ends on the dominant, or the dominant seventh, of the key in which the second subject is about to enter ; but when the second subject is in the dominant key, it occasionally ends with a half Chap, vii.] The Sonata Form: the Exposition. 157 cadence on the tonic (§ 236) ; it may also end on the dominant of the relative minor of the new key (§ 238). 271. (iii.) The second subject comprises all that follows the bridge-passage, as far as the end of the exposition. Whereas the first subject hardly ever contains more than one principal theme (though this may be extended or repeated,) the second subject — at all events in modern music — almost invariably has at least two parts, which we call ' sections ' separated from one another by full cadences ; and it is not unusual to find as many as four or five. These sections, while differing from one another, and from the first subject, should still be in keeping with it; in other words, the contrast should not be too strong. 272. The keys available for the second subject are: For a major movement (1) the dominant — the most usual key, (2) the mediant (major or minor), (3) the submediant major, (4) the rela- tive minor (rare), (5) the flat submediant major, and (6) the flat mediant major. Both these are very rare and hardly to be recom- mended. For a minor movement the second subject may be in (1) the relative major, (2) the dominant minor, (3) the dominant major, (4) the submediant major. 273. In addition to the keys just named, the minor modes of the various major keys are also available ; but these are very rarely used for the final section of the second subject. It is not necessary that all the sections should be in the same key ; but, with rare exceptions, the final section is in a nearly related key to the original tonic. 274. The second subject, and with it the exposition, generally ends with a full cadence, followed by a repeat of the whole first part of the movement. Sometimes a few bars of codetta are added, to lead back to the first subject. In many cases, especially in modern compositions, there is no repeat of the exposition ; but it is followed immediately by the second part of the movement 158 Applied Forms. [Chap. vm. CHAPTER VIII. THE SONATA FORM (CONTINUED) : THE DEVELOPMENT AND RECAPITULATION. 275. In the preceding chapter we have treated of the first of the three parts of which a sonata movement is composed — the exposition, and we have seen that while its details are in many respects subject to modification, its general outline remains the same in all cases. We always find two principal subjects con- nected by a bridge-passage, which effects the modulation from the key of the tonic, in which the first subject invariably appears, to the key (whatever that may be,) in which the second subject commences. But in the second part of the movement — the de- velopment, and, to a less degree in the third — the recapitulation, there is far greater variety. So much is this the case with the development, that it is absolutely impossible to give any rules as to what the composer should do, though, as we shall see presently, several general principles may be laid down to' guide him as to what he should not do. 276. It is no doubt because of the impossibility of formu- lating any regular rules for the construction of this part of the movement that it is frequently described in English text-books as the " Free Fantasia," — that is, the portion of the movement in which the composer is left free to follow his own fancy. In Germany it is termed ' Durchfuhrung,' i.e. 'development'; and we shall use both names indifferently ; " development " is the more strictly accurate, but "free fantasia" is frequently more convenient. 277. When speaking in the last chapter (§ 224,) of the sonata form as a modification of the ternary, we said that the develop- ments of which we have now to speak took the place occupied in the regular ternary form by the episode. Students will be aware that the object of episode is to furnish relief and contrast to the principal subjects. In the same way, the developments which precede the repetition of the principal subjects in the recapitula- tion have to furnish relief and (to a certain extent) contrast ; but there is an important difference between the two forms. In the ternary form, as also in the Rondo form described in Chapter VI. of this volume, the contrast is secured by the introduction of entirely new material ; here, on the other hand, while (as will be Chap. via.] The Sonata Form: the Development. iS9 seen later) episodical matter is not wholly excluded, we obtain the contrast chiefly by the presentation of the material of the expo- sition under new aspects. This is because the essential character- istic of the sonata form is unity ; in other words it is a " move- ment of continuity" (§ 216). 278. It is in the developments of this second part that the composer's genius has the fullest scope ; and it is here that the chief difference is seen between first-class and second-class work- manship. There are many composers who can find beautiful themes for their first and second subjects, who seem, whether from insufficient study, or from want of the necessary attention and self-criticism, to fail more or less completely in this part of the movement. It is here that the supremacy of Beethoven as an instrumental composer shows itself so conspicuously. In hih developments there is nothing rambling, nothing incoherent ; he has an inexhaustible faculty for presenting his ideas in fresh aspects, yet always logically connected with one another, each growing naturally out of the preceding, and leading as naturally into what follows. In this respect he has never been equalled ; and for this reason we shall take most of our illustrations of development from his works. 279. The first example that we give is from his well-known sonata in E flat, Op. 7. It will be hardly necessary to say that we never find the whole material of an exposition treated in the second part This would be impossible without extending the movement to enormous length. The composer is free to choose whichever of his subjects he prefers for treatment. In the present case, Beethoven has selected three short fragments from the exposition, which we here quote — (a) Bare 1 to 4. Beethovek : Sonata, Op. 7. i6o Applied Forms. [Chap. VIII. The passage at (a) is the opening of the first subject ; (£) is the beginning of the bridge-passage; and (c) is the commencement of the last section of the second subject. The exposition ends at bar 136 with a full cadence in the key of B flat. 280. We now give the whole development ("free fantasia ") of this movement, to show how Beethoven treats these three subjects. Beethoven : Sonata, Op. 7. 1 q b t-t f f~-r m —*- m fcr— _ 1 |» 1 "]- _*_*^g* >.*. r .„ ■P m- r - -dfTv-T^i w%**-* -—-si — - ■* J t> J 1 /• p i, **f» .-^ 1 rT^- 1 ^ (lP _ r ,-r* ■ — - ' ■—''■»«; * L -" Ll ^*- g - J 1 r— — , — ==== h L " ^ _ — ^^ — -*^±&& chap, viii.] The Sonata Form: the Development. \6i 102 Applied Forms. [Chap. vm. (Recapitulation.) A very bold effect is obtained at the commencement by altering the harmony of the first notes of the subject. The passage at (a) of the last section here appears as the dominant seventh of C minor, instead of as the tonic of E flat. In this key follows at the fifth bar the scale passage from (6) imitated two bars later in the right hand, which is thus in contrary motion with the bass. These scales are continued in a free sequence through the keys of A flat and F minor ; after which the bars quoted at ( -J^g rn i^-CT^-. — — Sfc£3=l p Wj-rM ]- = [ , 1 . 1 _J 1 _LJ^_?_J_ Y^~- — jq ,^s»a g ^- L-ES ' -I ' (=•* hp The exposition of this movement ends in the key of C with a prolonged close on the tonic during twenty bars, and is continued by a codetta (§ 266,) of four bars, founded upon the first bar of the above quotation. 288. We now give the codetta, and the opening bars of the free fantasia. Chap. viii.] The Sonata Form: the Development. 169 After treating the first bar by itself in the codetta, Beethoven begins his development with working a two-bar section, con- sisting of the first and second bars of the subject. A repetition a fourth higher of the preceding eight bars brings the music into the key of B flat ; and the second bar of the first subject is now worked by itself. With a boldness justified by the result, Beethoven dares to repeat this figure twelve times on the chord of B flat, and then twenty- four times on the chord of D major. The passage ends thus P =£» ST- =frc «Rc c? &± &= ^^ =H^ c: «-fiS dim. 289. Beethoven next takes the last two notes of the above figure and repeats them for four bars. The first phrase of the first subject is then given in the key of G major, with a new counterpoint above the last two bars. -^ es-C__ 'r*i h-T^I 'r~*71 J ei H£ f |_^Jg^riQ=^g=^_"_~ _ | ~& jjf -j H= 1 ^j | ir-t-i-ls^-j j— -gj--3 r r 1 It will be seen that the inversion of the two bars follows imme- diately, and is succeeded by a repetition in G of the passage previously heard in B flat, of which we quoted the commence- ment at the end of our extract in § 288. As before, the figure is heard for twelve bars on the chord of G, and then for twenty- four bars on the chord of E major, leading to a repetition of our last quotation a tone higher than before. 17c Applied Forms. [Chap. VIII. 290. Probably the composer by this continued reiteration of the same figure intended to depict the impression produced by the sameness, without monotony, of the sounds of nature. No doubt he now felt that he had treated this one figure sufficiently ; at the end of the passage of which we are now speaking, he therefore introduces a different part of the first subject. Our next quotation begins at the transposition of the fourth bar from the end of our last extract. -.*& yfe -L J — J" J " — •-* m- —m* m- --»■*-»■ —m-'^-m- —m- *-m- - -m- i"^ Chap. viii.] The Sonata Form: the Development. 171 sis sis sis ss J? * sjs J. • J* -J p J- ypb 1 ^SJ l '— 1 tzf—fn 'r^~ ^-r-^ — ^^ (Recapitulation.) The theme now heard will be seen in the last four bars of our example § 287. It is given in succession in A major, D major, G minor, C major, and finally F major, with an inverted dominant pedal, leading back by means of a plagal cadence to the re- capitulation, as seen in the last bars of the above passage. 291. The working of small fragments of his themes was a favourite procedure with Beethoven. One method, to which he was especially partial will be best explained by an illustration. In § 229 we gave the first subject of his ' Waldstein ' sonata, Op. 53 ; we now give the commencement of the second part of the same movement. To save space we give the melody only. 172 Applied Forms. [Chap. viii. Beethov en : Son ata, Op. 53. In the first four bars of this passage the fore-phrase of the first subject is transposed into F major ; in the two following bars the last two bars of the subject are imitated in G minor. At (a) there is a treatment by diminution, the last two bars being com- pressed into one. The two next bars are imitations of the preceding; but at (b) the last half only of the bar is treated. Four bars later, at (c) the first half of the bar is developed separately, till a half cadence in F minor is reached at the end of our extract. In the passage which immediately follows our quotation the second section of the second subject is similarly treated. Beethoven takes first a four-bar phrase, then the second half of it, and lastly its final bar, and develops these portions in turn. This chopping of his subjects up into small pieces, and (if the expression may be allowed,) squeezing the last drop of juice out of them, is one of the striking characteristics of Beethoven's developments. Another excellent example will be seen in the sonata in D, Op. 28.* * Whenever in this chapter a work is spoken of without any part being specially indicated, it is always ^as first movement that is being referred to. Chap. viii.] The Sonata Form: the Development. 173 292. Sometimes the developments will be more contrapuntal in style than in the examples we have hitherto been examining. Many good specimens of this kind of free fantasia will be found in Haydn's quartetts. As we cannot quote them here, we refer students who have access to the scores to such movements as the vivace of the quartett in C, Op. 50 No. 2. and the allegro spiritoso of the quartett in F, Op. 74 No. 2. In both these movements the subjects are treated by imitation in the free fugal style. The same thing will be seen in Beethoven's later sonatas — in Op. 106 and Op. in, and in the finale of Op. 101.. The last named movement has an extended, though some- what free fugato, which occupies the whole of the free fantasia. It will suffice to quote the opening bars. Beethoven' : Sonata, Op. iox. -tr- Ep=&c. ,. B The interval of .entry of the second voice shows, of course, that we have here a fugato, not a fugue (Fugue, § 358). Mozart's sonata in D, beginning may also be examined with advantage, because of the passages of canonic imitation to be found in the free fantasia. 293. There is one very important question in connection with the free fantasia on which we have not yet touched. This is, the introduction of episodical matter. Those examples of develop- ment which we have hitherto been analyzing have been entirely founded upon the material of the exposition. But this is by no means the invariable practice of composers. In many works we find a large amount of new matter introduced in the course of 174 Applied Forms. [Chap. VIII. the developments, and occasionally the whole second part of a sonata movement consists of episode. It is impossible to lay down any rules as to when, or how much episodical matter should be introduced. In this the composer's feeling must be his guide ; but it is important to remember that the new material must always be in keeping with the character of the movement. The nature of the episodes will be best understood from examples. 294. Our first illustration will show the introduction of epi- sodical matter as a new counterpoint to the chief subject of a movement. The first subject of the allegro of Beethoven's fourth symphony begins fa\ &% ^ I s N Beethoven : 4th S Symphony. In the first part of the free fantasia of this movement the first and second bars of the above extract are developed at some length in the keys of F major and D minor, the dominant chord of the latter key being at last followed by the tonic major. In this key our last quotation is repeated exactly— a major third higher — and followed by w ' ; — ^ r r~" Here the first subject is heard in the tenor, and is accompanied by an entirely new melody in octaves, of which no suggestion has been given in the exposition. The two subjects are afterwards introduced together in the keys of G minor and E flat. This is an example of what may be called incidental episode. The remaining developments of this' free fantasia are most instructive ; we strongly advise the student to analyze the movement for himself. Chap, viii.] The Sonata Form: the Development. 175 295. More frequently the episodes are entirely independent of the themes of the exposition. As striking examples of this kind may be mentioned the episodes in the ' Eroica ' symphony, and in Mendelssohn's ' Italian ' symphony in A major. Both works are so well known that it will be sufficient to quote the melodies of the passages to which we refer. Beethoven : 3rd Symphony, Op. 55. (<0 ~' ' '" In both these movements considerable use is made later of these episodes in the codas, of which we shall speak presently. 296. Sometimes the material of the exposition is but little employed in the developments ; and the greater part of the free fantasia is made from episodical matter. This is the case in Beethoven's sonata in E major, Op. 14 No. 1, as will be seen by a short extract. Beethoven : Sonata, Op. 14, No. x. Allegro., ^ • 176 Applied Forms. [Chap. VIII. This passage, which is the opening of the free fantasia, begins with a suggestion in the first two bars of the commencement of the first subject. A new continuation (bars 3 and 4) introduces an episodical theme on which all the rest of the developments are founded until the music returns to the dominant of E minor. The first notes of the first subject are then heard (over a dominant pedal) in the tenor and treble part of the harmony alternately, till at the end of the pedal point the recapitulation begins with the return of the first subject. Another example of extensive use of episodical matter will be seen in Beethoven's sonata in F, Op. 10 No. 2. 297. Occasionally, the second part of a sonata movement consists entirely of episode, there being absolutely no develop- ment of the material of the exposition. We find an instance of this in the first movement of Mozart's sonata in D beginning Another example will be seen in the finale of his sonata in C, No. 10. The movement will be identified by its opening bars. ~Jr This movement is in regular sonata form, including the repeat of the whole exposition; but the second part is not only entirely episodical, but (what is still more unusual,) contains hardly any modulation, being all in the keys of G major, and of C minor and major. This movement is referred to here, not as a model, but as an exception. With Mozart's sonata movements in general more episode and less thematic treatment will mostly be found in the free fantasia than with either Haydn or Beethoven ; though numerous works might be named in which his thematic develop- ments are fully equal in interest to those of his great contem- poraries, showing clearly that it was choice, not inability, that caused him in so many instances to prefer the more episodical style of treatment. 298. When the first movement cf a sonata is preceded by a slow introduction, this is occasionally introduced — sometimes in a varied form — at the beginning or in the course of the free fantasia. A very familiar example of this is furnished by Beethoven's Sonate Pathe'tique, which is too well known to need Chap. viii.] The Sonata Form: the Development. 177 quotation. At the end of the exposition, the opening bars of the Grave are introduced, leading, by means of a beautiful enhar- monic modulation to the key of E minor, in which the free fantasia begins. Let the student notice that the fourth and fifth bars of the free fantasia are a development, or rather a modifi- cation, of the first bar of the introduction, with the omission of the first note. , - — -^ / ,1. u \tP r \ f — 1« A similar case is seen in Beethoven's quartett in E flat, Op. 127, in which the short Maestoso which opens the work is repeated at the close of the exposition, and again near the end of the free fantasia. 299. Another very fine, though much less generally known instance of the same procedure will be found in Clementi's sonata in G minor, Op. 34 No. 2. Here, however, the first subject of the allegro is itself developed from the short introduction, as will be seen from a quotation of the commencement of the sonata. to Largo e sostenuto. Clementi : Sonata, Op. 34, No. 2. l 7 8 Applied Forms. [Chap. VIII. The exposition of this movement, which is quite regular, extends to 73 bars, and ends in the key of B flat, the relative major, which, as we already know, is the usual key for the second subject of a minor movement. The free fantasia begins in C minor, and, after various modulations, ultimately reaches the dominant of A minor through a passage too long to quote, but which is founded upon the last four bars of the Largo. At the 43rd bar, the common time of the introduction is resumed, and a remark- able metamorphosis of the opening theme appears in C major. (5) Largo. Legato. V 4 4- --^l __y-*,i-«« l .W. l .jt^.~ * w - — -"' fz fi fz & vx a /. A — = — jit B -i t ||ii 1»»W;V-i fcfeifc=j \l A _j. . -i-p — 1 h i ' This Largo continues for nine bars, and is followed by a return to the Allegro (|) which seven bars later introduces the re- capitulation. 300. A somewhat similar, though not exactly parallel case will be found in the finale of Beethoven's string quintett in C, Op. 29. The movement is a Presto (§) in C major. Toward the end of the free fantasia there is a half close in A minor, leading to an Andante con moto e scherzoso in A major, eighteen bars in length, entirely episodical, and which is repeated in C major in the course of the coda which ends the movement. 301. It would require, not a part of a chapter, but an entire volume to deal fully with the possibilities of thematic develop- ment, as shown in the works of the great masters. From the various examples we have quoted and referred to, it is hoped that the student will have a fair idea of the general line he should adopt in trying to write developments for himself. Before pro- ceeding to speak of the third part of a sonata movement — the recapitulation — we will give a few general principles for his guidance. It has been already said that strict rules cannot be laid down for this part of the composition ; but the principles we are now about to give are deduced from the actual practice of the great composers. 302. The first, and one of the most important rules to be borne in mind is, that the chief keys of the exposition — that is, the tonic of the movement and the key in which the second chap, viii.] The Sonata Form: the Development. 179 subject appears — should be avoided as much as possible in the free fantasia, or, at most, only employed incidentally, that is, in the course of modulation between other keys. The only ex- ception to this rule is that it is not uncommon to begin the free fantasia in the key in which the exposition ended ; but as soon as this key has been left and the modulation has begun, it should not be returned to in the course of the further developments. 303. The reason for the rule just given is that, as the second subject is generally of considerable extent, sometimes (as we saw in the last chapter,) containing three or four sections, which in the majority of cases are all in the same key, there would be too much monotony of tonality were the key of the second subject to be much used during the second part of the movement. The same consideration renders the employment of the tonic key objectionable. True, we hear but little of it in the exposition ; for the first subject is generally short, and the modulation begins at once in the bridge-passage ; but we shall see presently that a great part of the recapitulation has to be in the tonic key, and it would therefore be most unadvisable to use the same key to any great extent for the developments. 304. Any other key than the two just named may be freely employed at the discretion of the student for the free fantasia ; but there are one or two cautions to be given him in this matter. In the first place, it is not good to continue too long in any one new key, lest the mental impression of a fresh tonic be produced on the hearer. Especially is this the case with regard to the subdominant key. It would be most unwise to write the last part of a free fantasia in this key; because the tonic, returning im- mediately afterwards, would certainly have the effect of being a dominant of the key just quitted. The final return to the tonic key is almost always made from a key on its sharp side — at all events in a major movement. 305. Another point which it is important to remember is, that after a modulation has been made to any key, and that key has been quitted, it is not good to introduce it again, except transition- ally, that is, for the sake of passing conveniently between other keys, as in a compound modulation. We know already that in a smaller composition it is hot good generally to make the same modulation twice ; and this principle holds good also of the free fantasia. 306. The material of the second part of a sonata movement should consist chiefly of developments. For this reason, a mere repetition or exact transposition of matter from the exposition is weak, if it be continued without modification for more than a few bars. Among the principal means of development are (1) the repetition of a subject with varied harmonies; (2) the separate working of small fragments of a subject, as in the 'Pastoral Symphony' analyzed in §§ 288-290; (3) the addition i8o Applied Forms. [Chap. VIII. of new counterpoints to the subjects ; (4) the contrapuntal treat- ment of the subjects themselves; whether by fugal, canonic, or free imitation. Which of these methods (and the list is not exhaustive,) the composer may select is left entirely to his own taste and judgment. He is also quite free as to the choice of the subjects he may propose to treat. 307. The introduction of episodical matter is another point as to which no rules can be given. The only advice we can offer is, that such matter should be not so different in character from the rest of the movement as to produce an effect of incongruity. The amount of episode to be introduced is quite optional; in general it will be best to keep on the safe side, and rather use too little than too much. 308. The free fantasia must always end in such a way as to lead back to the key in which the recapitulation begins. This is mostly, though, as will be seen later, not invariably, the tonic. In the majority of cases the close of the free fantasia is on the dominant, or dominant seventh chord ; not infrequently a dominant pedal is introduced. Examples of this procedure are too common to need quotation ; they are to be met with everywhere. Less frequently other methods are adopted. In the first movement of Beethoven's symphony in C minor, and in the finale of the sonata in the same key, Op. 10 No. 1, the return is made through the chord of the diminished seventh on the leading note — another position of dominant harmony. In the ' Pastoral Symphony ' we see (§ 290,) the recapitulation reached by means of a plagal cadence. 309. Some interesting examples are met with in the works of the great masters of a return to the first subject in a major key through the dominant of a nearly related minor key. In Haydn's quartett in E major, Op. 54 No. 3, the free fantasia ends with a dominant pedal, eight bars long, in C sharp minor, the first subject following at once in E major. Haydn : Quartett, Op. 54, No. 3. ft m ff . 1st Subject. I . 1 .1... 1 r\ &r b r r r * ^J ""XT A \ZJc 1 j J J f-i . m r — L* j — T~ %&—ZL i Chap. viii.] The Sonata Form: the Development. 181 310. Our next illustration, also from Haydn, shows a some- what different modulation. Haydn : Symphony in D. Here the free fantasia ends in F sharp minor ; the dominant seventh in that key is resolved at the seventh bar of our extract on the submediant chord of the same key, which is quitted as the tonic of D major, and followed at once by the first subject in that key. 311. A differently managed modulation between the same two keys will be seen at the return of the first subject in Beethoven's second symphony. Here the free fantasia ends with a half cadence in F sharp minor. Beethoven : 2nd Symphony. -C = 1- N 1 . . te 1 .,. ft, I At the third bar there is a sudden piano on the dominant. The addition of the A in the fifth bar changes the C sharp from the root to the third of the chord, and leads back at once to the key of D, and the resumption of the first subject. 312. We had noted several other passages for quotation, but must content ourselves with referring our readers to such ex- amples as the return to the first subject in Beethoven's symphony 182 Applied Forms. ■ [Chap. VIII. in B flat, No. 4, and in his sonatas in E flat, Op. 31 No. 3, E minor, Op. 90, and B flat, Op. 106. For our last illustration of the return to the first subject, we give an interesting passage by Mozart in which free sequential imitation is employed. Mozart : Piano Quartett in G miner. It is difficult to show the part-writing of this passage clearly on two staves ; it consists chiefly of a dialogue between the piano and the strings, the scale passages being allotted to the former, and the responding harmonies to the latter. In the last three bars before the re-entry of the first subject the strings and piano imitate each other. 313. The third part of a sonata movement is termed the Recapitulation ; in this the material of the exposition is repeated, with more or less important modification. A moment's thought will show the student that it would be impossible to repeat the exposition as the third part of the movement without modification, for the chap. viii.] The Sonata Form: the Recapitulation. 183 very simple reason that it never ends in the key of the tonic. In a regularly constructed recapitulation, therefore, the second subject, as well as the first, is introduced in the tonic key, and either the first bridge-passage is modified, so as to lead to the dominant of the tonic key, instead of to the dominant of the key in which the second subject appeared in the exposition, or else an entirely new bridge-passage is written. Exceptionally, as we shall see later, the bridge-passage is altogether omitted in the recapitulation. 314. There is far more variation to be met with in the recapitulation than is generally supposed. Before dealing with the numerous irregularities to be found in this part of the move- ment, it will be well to speak of the usual form, as we find it in the great majority of sonata movements in the works of the great masters. 315. In a regularly constructed recapitulation, the close of the free fantasia is immediately followed by the reappearance of the first subject in the tonic key. In many cases, perhaps in most, the subject reappears in its original form — possibly with a little more ornamentation (as, for instance, in Beethoven's sonata in D, Op. 28), but practically unaltered, though it is by no means uncommon to find it accompanied by a new counterpoint. As an illustration of this we give the beginning of the first subject of the allegro of Haydn's quartett in G. Op. 76 No. 1. Haydn : Quartett, Op. 76, No. 1. _ r -m. This passage is then repeated in simple two-part harmony. In the recapitulation it is treated in the following manner — 1 «**L 184 Applied Forms. [Chap. VIII. The first four bars have a counterpoint in quavers above them, and the opening of the subject is then given to the first violin, and answered in canon at the octave and tenth below by the second violin and viola. More familiar examples of the addition of a new counterpoint to the first subject in the recapitulation will be seen in the first movement of Mendelssohn's symphony in A minor, and in the slow movement of Beethoven's Pastoral Symphony. 316. In the majority of cases, the bridge-passage in the recapitulation is constructed from the same material as in the exposition ; but it is frequently shortened, and the course of modulation is usually varied, so as to end on the dominant of the key in which the second subject is now to appear. In general this will be the tonic key; the exceptions will be discussed presently. If the bridge- passage in the exposition ends with a half cadence in the tonic key, it is possible, though rare, for the bridge-passage in the recapitulation to be identical with that in the exposition. An example of this will be found in Haydn's sonata in B flat, referred to in § 236. 317. Occasionally in the recapitulation the bridge-passage is altogether dispensed with, and the second subject follows imme- diately on the close of the first. This is the case in the first movement of Beethoven's sonata in F, Op. 10 No. 2, and in the finale of his sonata in C sharp minor, Op. 27 No. 2. In the first movement of Weber's sonata in E minor, Op. 70, the second subject in the recapitulation follows the first immediately, but the bridge-passage is repeated almost note for note as the beginning of the coda. 318. If, in the exposition of a movement in a major key, the second subject has been in the dominant, it will in the recapitu- lation be in the key of the tonic. This rule may be taken as invariable; in several hundreds of movements that we have examined we have not found a single exception to it. If in the first part the second subject has been in some other key than the dominant, there is less regularity. For example, in Beethoven's sonata in C, Op. 53, the second subject is in the exposition in the key of the mediant, major and minor ; in the recapitulation, it begins in the submediant (A major), and modulates through A minor to C major. The last part of the subject, which in the exposition was in E minor, is repeated in C minor, the return to the major key being reserved for the coda. chap. vin.] The Sonata Form: the Recapitulation. 185 319. In two other movements in which Beethoven has put his second subject in the mediant — the first movement of the sonata in G, Op. 31 No. 1, and the finale of the piano trio in E flat, Op. 70 No. 2 — the second subject in the recapitulation is first given in the key of the submediant major, and then repeated in the key of the tonic. Observe in all these cases, that as the submediant is a perfect fifth below the mediant, the tonal relation of these two appearances of the second subject is the same as if the keys had been, as usual, dominant and tonic. In the rare cases in which the second subject begins in the mediant minor (§ 242), it is found in the recapitulation in the tonic key. When the second subject is in the submediant in the exposition (§ 243), it is also Beethoven's practice to introduce it in the tonic in the recapitulation. 320. When the different sections of the second subject are not all in the same key (§ 256,) we usually find that their relation to one another in the recapitulation will be the same as in the expo- sition. If the second subject at first began in the dominant minor, and then proceeded to the dominant major (as in Beethoven's sonatas in A major and C major, Op. 2, Nos. 2 and 3), we shall find it in the recapitulation in the tonic minor and major. If, on the other hand, it began with a different tonic from that with which it ended — in which case the last key will always be the dominant — we shall almost invariably find that the first section of the second subject will, in the recapitulation, be in a key bearing the same relation to the tonic which the key in the exposition bore to the dominant. 321. A few examples will make this perfectly clear. We will take the same movements which we referred to in the last chapter (§§ 256, 258). In Haydn's quartett in D, Op. 17 No. 6, the second subject in the exposition begins in C major and ends in A major ; the first of these keys is a minor third higher than the second. In the recapitulation, that part of the second subject which was in C appears in F — a minor third higher than D — and ' that which was in A is transposed to D. In Beethoven's sonata in D, Op. 28, the second subject begins in F sharp minor, and pro- ceeds to A major ; in the recapitulation the keys are B minor and D major. Again in the same composer's sonata in D, Op. 10 No. 3, the second subject begins in B minor before going to A major, the former key being the supertonic minor of the latter. In the recapitulation, the second subject begins in E minor, the supertonic minor of D. As all these three movements happen to be in the key of D, it is very easy for the student to notice that the same method is carried out in each case. 322. In movements in a minor key, if the second subject is in the dominant minor (§§ 244, 245,) the transposition in the re- capitulation is simply to the tonic minor. But in the more frequent cases in which the second subject is at first in the relative major, there are two courses open to the composer. The plan i86 Applied I'orms. [Chap. VIII. most frequently adopted by the older masters was to introduce the second subject in the tonic minor key. This, of course, necessi- tated some alteration both of its melody and harmony. As an example, we give the beginning of the second subject in the first movement of Mozart's symphony in G minor. In the exposition it is in B flat major. Mozart : Symphony in G minor. !*-J t=L In the recapitulation we find it in G minor. (*) It is evident that the whole character of the subject is altered by this change to the minor mode. 323. In order to avoid the change of character just spoken of, the older masters sometimes, and modern composers more fre- quently, transpose the second subject in the recapitulation into the key of the tonic major. This procedure is more common with Haydn than with Mozart, who, as we have already had occasion to remark, was not much given to innovation in matters of form. Chap. via.] The Sonata Form: the Recapitulation. 187 With Beethoven, we mostly find the tonic minor for the second subject in his earlier 'works, while in the later the tonic major is often to be met with. When the second subject in the recapitu- lation is in the tonic major key, the movement can either end in that key, or return to the minor mode for the coda. Examples of both are common. \_dL- 324. Occasionally in a minor movement if the first subject be at first in the relative major, it is in the submediant in the recapitulation. This is the case in the first movement of Mendelssohn's symphony in C minor. The obvious reason is to preserve the usual tonal relation of the two entries of the second subject. (Compare §319). In such cases a return is, of course, subsequently made to the tonic key. 325. If the second subject in a minor movement be in the submediant major, it will generally in the recapitulation be in the tonic major. This is the practice of Beethoven. Schubert, however, in two cases where he has his second subject in the submediant — in the first movements of the ' Tragic ' symphony, and of the unfinished symphony in B minor — uses the relative major for his second subjects in the recapitulation, returning later to the tonic key ; and the effect, though unusual, is certainly not bad. 326. If the second subject of a minor movement be in two keys, the relationship of the two will generally, though not in- variably, be preserved in the recapitulation. (Compare § 320). Thus, in dementi's sonata in B minor, Op. 40 No. 2, the second subject in the exposition has its first part in D major, and the second in F sharp minor; in the recapitulation the keys are G major and B minor. In Beethoven's sonata in F minor, Op. 57, the second subject begins in A flat major and ends in A flat minor. In the recapitulation it begins in F major and ends in F minor. An exception to this general rule will be seen in Mendelssohn's trio in C minor. The second subject, part of which we quoted in § 254, begins in E flat and ends in G minor. In the recapitulation the theme that was in E flat major appears, not in A flat, but in C major, and the last part of the subject is transposed to C minor. 327. Hitherto we have spoken only of those recapitulations which are tolerably regular in their form ; but it must be added that such regularity is by no means invariable. It is quite im- possible to enumerate all the variations to be met with in this part of the movement; we must confine ourselves to the more important, and to those which may be regarded as to some extent typical. 328. The first thing to be noticed is, that it is possible for the recapitulation to commence with the first subject, not in the key of the tonic, but in that of the subdominant. It is a very curious thing that examples of this are almost exclusively found in the works of two composers, utterly unlike in almost every respect — 1 88 Applied Forms. [Chap. vm. Clementi and Schubert. We meet with it in at least three of dementi's sonatas ; viz. : those in E flat, Op. 10 No. 3, in B flat, Op. 14 No. i, and in B flat, Op. 25 No. 3. Schubert does the same in his second and fifth symphonies, in his piano quintett in A, Op. 114, and in his piano sonatas in B major, Op. 147, and A minor, Op. 164. The only other instances of this procedure that we have found are in Mozart's sonata in C, No. 15, and in Hummel's trio in E flat, Op. 96. The object evidently is, that the key relationship of first and second subjects in the recapitu- lation may be the same as in the exposition ; but the expediency appears to be at least doubtful, as the effect of beginning the recapitulation in another key than the tonic is hardly satisfactory. In the ternary form, of which we have already seen that the sonata form is a variation, the return of the tonic key is one of the chief characteristics of the third part of the movement. 329. Sometimes, though comparatively seldom, we find in the recapitulation that the re-entry of the second subject precedes that of the first. This is the case in the first movement of Mozart's sonata in D beginning and also of his great sonata in the same key for piano and violin. Other examples may be seen in some of Haydn's symphonies, in Spohr's octett, Op. 32 (first movement,) and double quartett, Op. 65 (finale,) and in the first movement of Dvorak's piano quartett in E flat, Op. 87. 330. It is not very unusual to find considerable abridgment of the subjects in the recapitulation. For instance, in Schubert's piano quintett in A. Op. 114, not only does the recapitulation begin in the subdominant key (§ 328), but the first twenty-four bars are omitted altogether. A similar thing is seen in the first movement of Mendelssohn's string quartett in F minor, Op. 8o, where only the final sentence of the first subject appears in the recapitulation. In a few cases, the first subject is entirely omitted. Examples of this will be seen in the first movement of Clementi's sonata in G, Op. 39 No. 2, and in the finale of Dussek's sonata in B flat, Op. 35 No. 1. 331. On the other hand, we occasionally find the first subject extended in the recapitulation. Beethoven's sonata in F, Op. 10 No. 2, affords a good illustration of this. The free fantasia ends on the dominant of D ; and the first subject (which we quoted in § 225,) is given in its complete form in that key. It is then con- tinued as follows ; to show the connexion we quote the last chord of the full cadence in D, Chap. vin.) The Sonata Form: the Recapitulation. 189 Beethoven : Sonata, Op. 10. No. 2. The last eight bars of the first subject are then repeated in the key of F as before. The whole first subject now contains 27 bars, instead of twelve, as in the exposition. 332. It is unusual to find the first subject beginning, as here, in a different key from that in which it ends ; another interesting example will be found in the recapitulation of Weber's sonata in C, Op. 24. The passage is too long to quote ; the student who examines the movement will see that in the exposition the first subject consists of two perfectly regular eight-bar sentences, the first ending on the dominant, and the second with a full cadence on the tonic. In the recapitulation the first subject is introduced in E flat ; the first six bars are almost unaltered, except in their key ; but there is a new continuation, modulating through F minor and C minor back to C major. Instead of two sentences as before, there is now only one long sentence extended to seven- teen bars. 333. The alteration of the second subject in the recapitulation is much more frequent than that of the first. Sometimes part of it is omitted, as in Haydn's quartett in G, Op. 77 No. 1, in which the flowing melody with which the second subject opens, is not heard at all in the recapitulation, most probably because Haydn has used it so extensively in the free fantasia. Again, in the finale of Dussek's sonata, Op. 10 No. 3, the second subject, as already mentioned (§ 255,) is in two keys, the first section being in G major, and the second and third in B minor. In the recapitulation the first section does not reappear at all. 334. Sometimes considerable variation will be found in the recapitulation of the second subject. In Beethoven's sonata in F, of which we were speaking just now (§ 331), the second subject begins in F major, but has a new continuation, passing through 190 Applied Forms. [Chap. VIII. F minor and A flat before returning to the tonic key. At other times the general outline remains the same but the details are much altered. A good example of this is seen in the finale of Dussek's sonata in G minor, Op. 10 No. 2. In the exposition, the second subject commences thus — t * Vivace, con spirito. Dussek : Sonata, Op. to, No. 2. In the recapitulation the passage is modified as follows — ^ — -^ P"« •■■•■• ^ -^ ""» 1 /? ** pp «?5— i — i*^3 P^3 — 1 — ^^ — ^~i — ■ \Q — 4=^ — = — '^ H L ^=- — ^—^ ^■* ^.^«.^.j».it qp^t r rfit 335. Occasionally the second subject is so far altered in the recapitulation as to be almost a new subject, though constructed on the same lines as before. A very interesting example of this (far too long, unfortunately for quotation,) is seen in the first movement of Haydn's quartett in B flat, Op. 76 No. 4, which the student should examine. We give another illustration of the same point, from Mozart's little known quintett for horn and strings. We quote the melody only of the second subject, giving it first as in the exposition, Chap. viii.] The Sonata Form: the Recapitulation. 191 W Mozart : Horn Quintett . and then as it appears in the recapitulation. If these two subjects are compared, it will be seen that there is a strong " family likeness " between them, especially in their rhythmic figures, but that the melodies are entirely different.* 336. An exceptional choice of key for the second subject by Beethoven deserves to be mentioned. In the finale of his sonata in E flat, Op. 31 No. 3, the second subject, which in the exposi- tion is in B flat, appears in G flat major, the final sentence being repeated in E flat minor, and the coda being approached through the dominant of that key. 337. Occasionally in a minor movement, the entire recapitu- lation is in the tonic major key, the first subject being altered in the same way which we saw with the second subject in § 322. We have only met with two instances of this — in the first move- ments of Spohr's second symphony, in D minor, and of Weber's sonata in D minor, Op. 49. The latter movement ends in the major key ; Spohr returns to D minor for the coda. 338. One very irregular kind of recapitulation has still to be noticed — if, indeed, it can be called by that name. In a few movements which we cannot but consider as being in sonata form, neither the first nor the second subject is repeated after the free fantasia; but a long coda, made of entirely new material, * The explanation of the difference is that the passages quoted are written for the horn ; and the technique of that instrument is such that an exact transposition of the first passage would have been extremely difficult. Mozart therefore modified it, and thus made it not only easier, but more effective, and better adapted to the nature of the instrument. 192 Applied Forms. [Chap. VIII. takes its place. A comparatively early example of this will be found in the finale of Hummel's sonata in F minor, Op. 20 ; while Schumann does the same thing in the first movement of his symphony in D minor, and in the finale of his symphony in C. Though in all these cases the end justifies the means, the plan is not to be recommended ; for it unquestionably detracts from the unity that ought to characterize this form. 339. With the close of the recapitulation, a sonata movement may, and frequently does end ; but it may also be followed by a coda. In the majority of the sonatas of Haydn and Mozart the coda is not to be found ; it is also wanting in some of the earlier works of Beethoven — e.g. in the sonatas, Op. 2 No. 2, Op. 10 Nos. 1 and 2, and Op. 22. But with modern composers we usually find, especially in works laid out on a large scale, a coda of more or less extent and importance. As in the case of the free fantasia, it is impossible to give any rules as to what the coda should contain ; this is entirely at the composer's discretion. Sometimes it is quite short, as in Beethoven's sonata in F minor, Op. 2 No. 1, in which the coda is nothing but an extension of the last sentence of the second subject. In other cases it is of considerable length ; and it is then not unusual to find develop- ment of some of the themes which had not been treated in the free fantasia. 340. As an illustration of this, we will take the coda in Beet- hoven's sonata, Op. 7, which we select because in § 280 we quoted the whole of the free fantasia. The second subject of this sonata contains five sections (§ 254) ; but of these only a part of the fifth was employed in the free fantasia. One of the most impor- tant — the second, which begins at bar 59 thus — («> Beethoven : Sonata, Op. 7. f-M>. J . , — 1 — 1 — 1 1 — i ~ z — »h— 1 1 1 — *—. — *—. — =£= 3r- -5 ' =t==£= §==M=J— 1=5*3 s .• 1 — •>!_ -*-= — m— - — _ 1 cres *-• ■ r . H r 1 9 s— „ c J - - - cen - '• 1 1 iJ- i'— -m- • ^fs\ * ^ bh? — »— — 1 -1 — — n — "-t — ^ r *—— ■m. ■ n m ' - i^i 1 M. - - - do *f r*-^~ — m— ■- — 1 &*&-r— ■&+- f¥===n ^ -4 =fe= h-i H becomes an imoortant feature in the coda, where it is developed as follows — Chap. vin.] The Sonata Form: the Recapitulation. 193 ZT l [£f ^ r p A-.j- 4 J- te'-f : The end of this extract is followed by further developments of the themes given as (c) and (a) in § 279, bringing the movement to a close. 341. Sometimes, though not very frequently, the coda brings forward an entirely new theme. A good example is found in the first movement of Schumann's symphony in B flat, of which we gave the first subject in § 227. The coda begins with a quicken- ing of the time (Animate), and thematic treatment of the first subject for more than fifty bars. At bar 57 of the coda, the following new idea is presented. Sc humann : ist Symphony. fr-e-rhr; 1- J- J J- — . i —^ ~~.J u , J. J» — u — K =14- 1— jfe-=z*=£2E ~S~lTp~ u i i Zr \ p fP 1 1 IN 1 M * ■ + M 1 "^l A^A i- — i i ctvs. A^A A --rr-T -r I > J * ■«-• * 1 ,-=t- i» - S- : b''g ^ f_r r ? ■ * m— m r— P. ' i» : — • I 4 1— M tx— ■-I — -r^. br— T^l • 1 ' 1 -— £ I i« i" m _ i- _ c ~- 1 ' r Z^4- ^4- ,— L-* l> — 1 1 ^ I 'l~ h '^ i i , J -ij» \ — s — i>l f j--J-ll 5? "ZT 1 _ -A r -1 — T i -«■ =t== - p l W— 1 1 cres. 1 n — ' r — • — i i -m- =t ^3 1 1 — i — * 1 } i 194 applied Forms. [Chap. VIII. These bars are then repeated, and the train of thought con- tinued for some little time before the return of the commence- ment of the first subject, which is given in augmentation. 342. Another beautiful example of the introduction of new matter in the coda is seen in the finale of Mendelssohn's sonata in D for piano and violoncello. As the work is tolerably well known, it will suffice' to quote the opening bars of the passage to which we refer. espress. Mendelssohn : Sonata in D, Op. 58. 343. When the final movement of a cyclic work, such as a sonata or symphony, is in sonata form, we almost always, at least in modern compositions, find a coda appended, in order to give more importance to the conclusion of the work. In such cases we sometimes find an alteration (which is generally a quickening,) of the tempo. As examples of this may be named the finales of Beethoven's symphony in C minor, and sonata in F minor, Op. 57. The same thing is also sometimes found in a first movement, as in the sonata just referred to, and in Schubert's great symphony in C, No. 7. 344. The form we have been discussing in this and the pre- ceding chapter is so infinitely rich in its varied possibilities, that it has been impossible to treat it exhaustively; it is hoped that enough has been said to enable the student to make further investigations for himself. Once more we repeat what we have so often said before, — that more will be learned from analyzing the works of the great masters than in any other way. The student will best master the subject by carefully examining all the sonatas, trios, quartetts, or symphonies within his reach and noticing their structural peculiarities, resemblances and differ- ences. The best models of form are Haydn, Mozart, Beet- hoven, and Mendelssohn. chap, ix.] Modified Sonata Forms. 195 CHAPTER IX. MODIFIED SONATA FORMS. 345. In the Sonata Form which we have been discussing in the last two chapters we have seen that, while there was room for very considerable variety in the details of treatment, the essential outlines of the form remained the same in every case. But we frequently meet with movements evidently closely allied to the form of which we have been speaking, which nevertheless present points of difference sufficient to prevent our regarding them as regular sonata movements. Such may be termed modified sonata forms. The most important of these — the later Rondo form — will be discussed by itself in the next chapter ; in the present one we shall speak of others, which more nearly approxi- mate to the normal form already described. 346. The first of these is that which we name the Abridged Sonata Form. We know (§ 224,) that the regular sonata form contains three parts— the exposition, the development, and the recapitulation. Of these the development is sometimes quite short ; in other cases it is the longest of the three sections of the movement. In the abridged sonata form of which we are now speaking, the middle part of the movement (the " free fantasia,") is entirely wanting. At the end of the exposition the music returns at once to the tonic key, and the recapitulation com- mences. 347. It will be obvious that the effect of this compression is to reduce the movement from a ternary to a binary form ; and it would seem at a first glance as if it were merely reverting to the old sonata form described and illustrated in §§ 217-220. There is, however, one important difference between the two. In the older sonata form, the first subject was introduced at the beginning of the second part in the same key in which the second subject had been given in the first part of the movement. In the abridged sonata form, on the other hand, the first subject re- appears in the tonic key, exactly as it would do in a fully developed sonata movement, and the whole of the second part, with possible occasional transitions to related keys, will be, like an ordinary recapitulation, in the tonic key. 348. The abridged sonata form is most frequently, though by no means exclusively, employed for the slow movements of cyclic 196 Applied Forms. [Chap. IX. works (sonatas, &c.) ; and a short analysis of two or three move ments written in this form will be sufficient to illustrate its special features. We will first take the Adagio molto of Beethoven's sonata in C minor, Op. 10 No. 1, as a particularly clear and perfect example. The movement contains 112 bars, of which forty-five belong to the first part. 349. The first subject, beginning Adagio molto. («> ' i Beethoven : Sonata, Op. 10, No. i. contains two perfectly regular sentences of eight bars each, of which the first ends with a half cadence, and the second with a full cadence in the tonic key. At bar 17 begins the bridge- passage, which is only seven bars long, and which leads through the dominant seventh of E flat to the second subject in that key, 350. This second subject consists of one extended sentence twenty-one bars in length ; if the student will analyze it, he will see that both the fore-phrase and the after-phrase are repeated in a varied form, and that the after-phrase is prolonged by cadential extensions and repetitions. It ends at bar 44 with a full cadence in E flat. A single chord of the dominant seventh, ff, reintroduces Chap. IX.] Modified Sonata Forms. 197 the original key and the first subject. We quote trie passage, beginning with the last three bars of the second subject. End of ^^ and Subject. 1st Subject. 351. The first subject is now repeated with more orna- mentation, both of melody and harmony, and is followed at bar 62 by the second bridge-passage. This is constructed of the same material as the first one, the first part being absolutely identical ; but it is now extended to nine bars, and the latter part is varied, so as to end on the dominant seventh of A flat, instead of on that of E flat, as before. The second subject is then introduced in the tonic key, with only very slight modifications, and at bar 91 it is followed by a coda, twenty- two bars long, founded upon the commencement of the first subject with a new and very beautiful continuation. 352. This Adagio illustrates two points frequently seen when the sonata form, whether complete or (as here) abridged, is used for a slow movement. Note, in the first place, that the second subject is not divisible into sections. We said in § 248 that in most cases the second subject could be so divided, but we were then speaking of the sonata form as usually found in allegro movements. In slow movements, on the other hand, the second subject is generally much shorter — sometimes, as we shall see directly, even shorter than the first. 353. The other point to be noticed is that in slow movements the subjects (more especially the first subject,) are generally varied, or perhaps it will be better to say ornamented, in the recapitula- tion. We saw in the last chapter (§ 315,) that this was occasion- ally done even in an allegro ; but with an adagio or andante it is rather the rule than the exception. The student will no doubt remember that the same thing is very frequently to be seen in the simple ternary form {Musical Form, § 359). 354. For our next illustration we select the Adagio of Beethoven's sonata in D minor, Op. 31 No. 2. The movement 198 Applied Forms. [Chap. IX is too well known to need quotation ; it will suffice to refer to the numbers of the bars. As in the example last analyzed, the first subject contains two sentences, and ends with a full cadence in the tonic at bar 17. The bridge-passage commences in the same bar. The reason we do not consider the four following bars as a prolongation of the final cadence of the first subject — for the modulation does not begin till bar 22 — will be clear to the student, if he compares the corresponding passage in the second part of the movement (bars 60 to 63). The bridge-passage ends in bar 30 with a half cadence in F, and the second subject consists of only one eight-bar sentence, ending in bar 38. The return to the first subject, instead of consisting, as in our last example, of only a single chord, is a "link" {Musical Form, § 368,) five bars long, formed of the chord of the dominant minor ninth. The first subject is then repeated, its second sentence being accompanied by elaborate ornamental passages for the left hand. A modification of the first bridge-passage leads to the second subject in the tonic key ; and a coda of twenty-three bars, chiefly founded upon the "link" and the first subject, concludes the movement, which, it will be seen, furnishes further illustration of both the points mentioned in §§ 352, 353. 355. The Adagio of Mozart's sonata in F (No. 12) shows much resemblance to the movements last examined, but has one or two points of difference that deserve notice. The movement commences thus — Mozart : Sonata in F, No. 12. Legato. Though the first subject as printed contains only eight bars, yet an examination of the music shows that we have here quadruple time with two accents in the bar, and that these eight bars are really equivalent to sixteen (see Musical Form, § 36). This first subject therefore, like the two by Beethoven examined above, contains two sentences, the first ending with a half cadence (feminine ending,) in bar 4. The fore-phrase of the second sentence (bars 5 and 6) is the same as that of the first sentence, but in the minor mode ; and the after-phrase modulates to F minor (the dominant minor of B flat minor) and ends with a full cadence in that key, but with a major third (Tierce de Picardie), to lead back to the dominant of the original key. 356. It is unusual, we might almost say exceptional, for the first subject to end in the key of the dominant; but Mozart's doing so in this case renders a bridge passage superfluous ; Chap. IX.] Modified Sonata Forms. 199 consequently the second subject follows immediately on the final cadence of the first The second subject, excepting a momentary transition to G minor, is in the key of F major throughout, and ends with a short tonic pedal, after which the return is made at once, as in our example, § 350, through one bar of the chord of the dominant seventh, to the tonic key and the first subject. First Subject. . ten.' n-r> g}*7^ *v **** —^ 1 ' """^s +- -"r * 1- ft » Ffr . 1- -f-r \ &c The first subject is ornamented, as usual, and on its close is followed immediately by the second subject, now in B flat. This is also much ornamented. The movement contains no coda ; or the close of the second subject there is only a final cadence ovei a tonic pedal. We quote the last two bars of the movement. to tr lttZlr*\*tw.J' . J^Nl 2 ■» r-^^\ — is fr — — =5 — , — ,rri ■rrr^^m—m — „ \ Sr j^ J "" J «J W - ^»--SL.p---*- 1 -* 357. A very good example of this form in an allegro will be seen in Mendelssohn's 'Andante cantabile e Presto agitato' in B major and minor. The Andante, in B major, is a very regular and complete simple binary form ; the Presto which follows has an exposition like that of a fully developed sonata movement. 200 Applied Forms. [Chap. IX. After four, bars of introduction the first subject begins thus — we give the melody only. Mendelssohn : Presto Agitato. The first subject contains two sentences, the latter extended by the repetition of the last two bars of the after-phrase. The bridge-passage leads to the key of A major in which the second subject commences. The first part of the second subject modulates from A to D major, and thence to F sharp minor, in which key the latter half of the subject is given. Its second section begins 358. The second subject ends in F sharp minor, and thus furnishes an example similar to those which we have already seen (§ 2 55>) °f a second subject of a minor movement in more than one key. At the close, the tonic, F sharp, is treated as a dominant, and the return is made at once to B minor by an inverted pedal. (jul ■Tp 1 i ™ !■ !■ 1 w * J ti J J M> J M Ml M> A 1 M mi Ml Ml A J Ml Ml m Ml Ml d ! P**i — 1 — =H — —3-1 — *t^— — 1 , | ■ ,f : *_! — 0t_; , — 1 ' — ^ ^ *tJ — - k*f- : 1 1 Chap. IX.] Modified Sonata Forms. First Subject. The first subject then reappears unaltered; we have said above that ornamentation is most frequent in the repetition of the subjects in slow movements. The bridge-passage is modified as usual, and the second subject is then given in the keys of D major, G major, and B minor — in each case the fifth below the key in which the corresponding part appeared in the exposition. A long coda concludes the movement. 359. It should be noticed that in this abridged sonata form of which we are now speaking, the repetition of the exposition, which is so common a feature of the complete sonata form, is never met with. The reason is evident; there would be too great monotony if the subjects were heard three times in suc- cession without the relief afforded by the free fantasia. It is true that in the old sonata form, which also had no developments, both parts were frequently repeated ; but in these variety was obtained by the introduction of the first subject in a different key in the second part. 360. A species of composition in which the abridged sonata form is often met with is the Overture. The form of the overture varies so much that it is impossible to classify it definitely; the present will be as appropriate a place as any to say a few words about it. 361. The name 'Overture' (Fr. 'Ouverture' = an opening,) was originally applied to the instrumental piece, of one or more movements, played at the commencement of an opera, or oratorio. It is also several times used by Bach as the title of the first movement of a Suite or Partita. The overtures of Bach, Handel, and their contemporaries are mostly in the form of a prelude and fugue, the former in slow and the latter in quick time. The fugue is not seldom followed by one (sometimes by more than one) dance movement, the minuet being that most commonly selected. The name 'Overture' would appear at this time to have been restricted to the form we are describing ; for we find that in Handel's oratorios 'Athalia,' and 'Saul,' in which the instrumental introduction is not m the form of a prelude and fugue, the composer calls the movement not 'Overture' but ' Sinfonia.' 362. The development by Emanuel Bach and Haydn of the sonata form soon led to its introduction in the overture. We find it, — sometimes the old sonata form (§ 217), sometimes the modern, more or less complete, in several of the overtures to Mozart's early operas; while in French opera a good example. 202 Applied Forms. l Cha P- 1X - dating from the last century, of a full sonata movement will be seen in Sacchini's overture to 'CEdipe a Colone' (1786). 363. In the overtures of Mozart and Beethoven the sonata form is mostly employed, sometimes with and sometimes without modification. Mozart's youthful operas are in some cases pre- ceded by a short symphony in three movements, but in his later and better known works the sonata form is always used for the overtures. In those to 'Don Juan,' ' Der Schauspieldirektor ' and 'Cosi fan tutte,' we find the form complete, and the structure quite regular ; the overture to ' Titus ' is also a fully developed sonata movement, in which, however, the second subject in the recapitulation precedes the first (§ 329). In the overtures to 'Figaro' and 'Idomeneo' the close of the exposition is followed by a short passage leading back at once to the recapitulation ; these movements are therefore in the abridged sonata form of which we have already spoken in this chapter. The overture to ' Idomeneo ' is further irregular, inasmuch as the second subject does not appear in the recapitulation. The overture to ' Die Zauberflote' is often spoken of as a fugue; it is in reality a sonata movement of which the first subject is in fugal form. An example of a genuine fugued overture will be seen in Beethoven's Concert Overture in C, Op. 124, generally known as ' Die Weihe des Hauses.' 364. Sometimes the place of the free fantasia of an overture otherwise in sonata form is taken by an incidental slow move- ment. Examples of this will be found in Mozart's overture to ' Die Entfuhrung aus dem Serail' (' II Seraglio,') and Beethoven's first overture (Op. 138,) to 'Leonora.' In Mozart's overture (as also in that to ' Don Juan,') the recapitulation is not completed, as the movement in each case leads without a break into the first number of the opera. 365. The majority of Beethoven's overtures are in full sonata form. In addition to the two (Ops. 124 and 138,) of which we have just spoken the only exceptions are the overtures to 'Prometheus,' which is in condensed sonata form, and to the 'Ruins of Athens,' which is so irregular as to be in reality a fantasia for orchestra. In all the other overtures the sonata form is clearly to be traced. 366. A slow introduction, as in Mozart's overtures to 'Don Juan,' ' Cosi fan tutte,' and the ' Zauberflote,' and in Beethoven's to ' Egmont,' ' Leonora,' ' Namensfeier,' and others, is far more common in overtures than in either symphonies or sonatas. It is hardly necessary to say that in speaking of the sonata form of the overtures we are referring to the allegro movements which follow such introductions where they exist. 367. It is not our purpose here to write a history of the overture, or to trace its development ; we are concerned simply with its form. The overtures of Weber, Spohr, Cherubini, and Chap, ix.] Modified Sonata Forms. 203 Mendelssohn mostly follow the lines laid down by Mozart and Beethoven. In the overtures to 'St. Paul' and 'Elijah' Mendelssohn has adopted the fugue form, combining it in the former case with a choral. The same composer's overture to ' Athalie ' deserves a word of mention on account of a peculiarity in its structure. The introduction to this overture is in the key of F major, while the allegro that follows begins in D minor and ends in D major, the overture thus closing with a different tonic from that with which it commenced. Such a procedure is extremely rare,* and is certainly not to be recommended for imitation. 368. An important point to be noticed with regard to the use of the sonata form in overtures is, that the exposition should never be repeated, as is so often done in a sonata or symphony. The only case that we have met with in which there is a repeat of the first part is Mendelssohn's Overture for a Military Band, Op. 24. As this piece was the work of a boy of fifteen, it should be regarded as an exception, rather than as a precedent. 369. Many modern opera overtures are constructed on themes taken from the work which they precede. The first to do this systematically was Weber, in his overtures to ' Der Freischiitz,' ' Euryanthe ' and ' Oberon ' ; but he did it while carefully preserving the sonata form. Some more recent composers, however, merely string together themes from their work, sometimes with the addition of fresh material, in an incoherent manner ; the result being that, however effective, such overtures are practically formless. An example of this kind will be seen in Herold's popular overture to 'Zampa,' which cannot be classified under any known form. Another excellent illustration of the same kind is Rossini's overture to ' Guillaume Tell,' the subjects of which are not taken from the opera itself. We are not condemning these, and similar pieces, as music ; we are simply pointing out to the student the existence of a certain class of overture the form of which cannot be strictly defined. 370. A very important modification of the sonata form is that to be seen in the first movement of the Concerto, as treated by Mozart, Beethoven, and their contemporaries and immediate successors. In its modern sense the word ' Concerto ' is employed to describe a work written for a solo instrument with orchestral accompaniment ; but in the last century it was also applied to pieces written for orchestra without special solo parts, t For * A somewhat similar case may be seen in Weber's overture to ' Preciosa,' in which the introduction is in A minor, while the two following movements are in C major, in which key the piece ends. t Bach, in his cantatas " Bringet dem Herrn Ehre seines Namens," " Es wartet Alles auf dich," "Nimm was dein ist und gehe hin," and "Siehe zu, dass deine Gottesfurchtnicht Heuchelei sei," has entitled the opening choruses ' Concerto ' ; and at the beginning of the cantata " Mein Gott, wie lang' ach lange," he uses the same word to describe an accompanied recitative. Evi- dently he thought of it in its original meaning — a concert, or combination of instruments and voices. ici. Applied Forms. (Chap. ix. example, of Bach's six so-called 'Brandenburg Concertos,' four have parts for one or more solo instruments, while the other two (Nos. 3 and 6,) have no such parts. The same is the case with some of Handel's Oboe Concertos, which, as regards the composition of the orchestra (though not as regards the form,) more nearly resemble the symphony. The modern form of the concerto was fixed by Mozart, in whose works nearly fifty examples for various instruments are to be found. This form was also adopted by Beethoven, Weber, Spohr, and (with some modifi- cations, to be mentioned presently,) by later composers. 371. In the concertos of Mozart and Beethoven, the first movement is always in a modified sonata form, and we have now to explain the nature of the modifications. Of these the most important is the double exposition. We have already seen (§§ 266, 267,) that in the regular sonata form the repetition of the expo- sition is very common. In the concerto form, as fixed by Mozart and adopted by Beethoven, we find instead of this, two different expositions, the first for the orchestra alone, and the second for the solo instrument accompanied by the orchestra. If we examine the entire series of Mozart's concertos, we shall find that this form did not spring full grown out of his brain, like Minerva from the head of Jupiter, but that it was gradually evolved. The earlier concertos contain only a short orchestral introduction, in which little more than the first subject of the movement appears ; but in all the later examples we find the double exposition of which we are now speaking. 372. It is not to be supposed, however, that the two expositions in a concerto are identical ; far from it. In the first place, the first exposition, for orchestra alone, differs from the exposition of a sonata in the fact that it always ends in the key of the tonic — in the majority of cases, with a full cadence in that key. The object of this is, to lead to the entry of the solo instrument, generally with the first subject, less abruptly than if the orchestra had ended in some other key. This first exposition therefore in its form more nearly resembles the recapitulation than the ex- position of a sonata; and this resemblance is increased by the fact that the second subject, when it appears in the first exposition, is almost invariably in the key of the tonic, and not in that of the dominant, or (with a minor movement,) in the relative major. 373. We have just said "the second subject, when it appears in the first exposition " ; and this brings us to the next point of importance. The first exposition rarely contains all the material to be found in the second. Sometimes the difference in length between the two is very slight ; for example, in Mozart's concerto in A major (No. 23) the first exposition contains 66 bars, and the second 71, while in Beethoven's concerto in C minor, Op. 37, the respective lengths of the two expositions are in and 116 bars. On the other hand, it is not uncommon to find the second Chap. IX.] Modified Sonata Forms. 205 exposition far longer than the first. In Beethoven's violin concerto the first exposition is 88 bars long and the second 136, while in Mozart's piano concerto in C minor, the disproportion is greater still, the second exposition containing 166 bars, as com- pared with 99 in the first. 374. There is a curious and interesting difference to be noticed between the practice of Mozart and Beethoven in the treatment of this double exposition. When the second exposition is consider- ably longer than the first, as in the examples referred to above, (and others might be given,) this generally arises with Mozart from the introduction into the second exposition of new themes, which had not been heard at all in the first one. In the concerto in C minor, for instance, the second subject (if it can be so called) of the first exposition begins thus — Mozart : Concerto in C minor, No. 24. , W Allegro. Neither this theme nor its continuation (for which we must refer the student to the work itself,) is to be found in the second exposition, though both are used in the recapitulation. On the other hand, the second exposition contains two important themes in its second subject, beginning (*> and neither of which is seen in the first exposition. 2O0 Applied Forms. [Chap. IX. 375. Somewhat similar cases are found in other concertos of Mozart. In the piano concerto in G (No. 17,) the first theme of the second subject Mozart : Concerto in G, No. 17. !-*3— -r^f-- r 'ff.T- •r-^ .i^^krf- "7>, tr =j=ir*-r-rp^ ri ' )^' i ' r~t~ j J. &c U*-ttP %- S* 1"L S"* -+-S0IT- J 1 1 — does not appear in the first exposition at all, though the second theme is found in both; in this movement the first exposition has 74 bars and the second 97. Again, in the last of the four concertos for piano in C which Mozart wrote, beginning A llegro maestoso. the two expositions have quite different second subjects, and that of the first exposition furnishes the material for nearly the whole of the free fantasia, which, as in a sonata or symphony, forms the second part of the movement. 376. In Beethoven's concertos, on the other hand, the greater length of the second exposition mostly arises, not from the intro- duction of new subjects, but from the larger development of those that have already been heard in the first exposition. A very good example of this will be found in his violin concerto. The work is so accessible * that it is needless to make quotations ; an exami- nation of the movement will well repay the student. 377. As a concerto is a piece written for the display of a solo instrument, (occasionally of more than one,) the second exposition will always be more florid than the first. In general the subjects are given in a more varied and ornamented form by the solo instrument (whether alone or accompanied,) than on their first presentation by the orchestra. 378. We said above that the first exposition usually ended with a full cadence in the tonic key. Occasionally, however, it leads more directly into the second, without a full close. This is seldom found in Mozart, as in his piano concerto in C, No. 21, where the solo instrument enters on dominant harmony ; but Beethoven in all his later concertos (in G, Op. 58, in E fiat, Op. 73, and in the violin concerto,) introduces the solo instrument on a chord of the dominant seventh, evidently to obtain greater continuity in the music. * The score is published in the Peters edition. Chap. IX.] Modified Sonata Forms. 207 379. When speaking in § 371 of the double exposition, it was remarked that the first exposition was for orchestra alone. In general the solo instrument does not enter till the second exposition. It is often stated that the introduction of the piano at the beginning of his concertos in G and E flat was an innova- tion of Beethoven's ; but the same thing had been already done by Mozart in a very fine, though little known, concerto in E flat, of which we give the opening bars. M Allegro. =JEq» M *5C Mozart : Concerto in E flat, No. 9. tr ti. ! — S» ff*2 ^ 'f I ->-^-t fgfce T / Orchestra. Kano (Solo) . **-r* g -*,7 T » L. Orch. — a= tt -tt -&z_~ Piano. =PES =t±t Neither in this case, nor in those by Beethoven just named, does the solo instrument reappear till the second exposition. 380. The second and third parts of the first movement of a concerto are devoted, as in the sonata, to the development and recapitulation. The commencement of each part is given to the orchestra alone, the solo instrument having always a rest at this point. In Czerny's 'School of Practical Composition' (almost the only theoretical work, by the way, that gives a detailed account of the concerto form,) the author speaks of the first movement as consisting of a tutti for the orchestra, followed by the first, second, and third solos for the pianist, the solos being divided from one another by shorter tuttis than the first. It will be readily seen that Czerny's first "-tutti" corresponds to what we have here described as the first exposition, while the three solos are the second exposition, development, and recapitulation. 381. A specialty of this form to which we have not yet referred is the introduction of a Cadenza towards the close of the move- ment. It was the custom of Mozart and Beethoven to introduce in the last orchestral tutti of the recapitulation a pause, always on the second inversion of the tonic chord, to allow of a brilliant improvisation on the part of the soloist. Such an improvisation was called a ' Cadenza,' and in it the performer was expected not only to show his technical skill, but his ability in treating material taken from the movement itself. Mozart has left us 35 cadenzas 208 Applied Forms. [Chap. ix. written for his own concertos — sometimes two or three for the same work ; and Beethoven also wrote cadenzas for his concertos. He seems to have felt, however, that there was danger of an extemporized cadenza being out of keeping with the character of the rest of the movement ; and in his last piano concerto (in E flat, Op. 73,) after the customary pause for the orchestra on the | chord, he writes out in full the cadenza that he wishes played, adding a note " Non si fa una Cadenza, ma s'attacca subito il seguente," i.e. " Do not make a cadenza, but go on at once to the following." In more recent concertos, the cadenza is either dis- pensed with altogether (as in Mendelssohn's two piano concertos and in Brahms's concerto in D minor,) or written out in full by the composer himself, as in Mendelssohn's violin concerto, and the piano concertos of Schumann, Raff, and Rheinberger. It should further be remarked that the cadenza is sometimes introduced after a chord of the dominant seventh, instead of a f chord, and that Mendelssohn in his violin concerto has placed it between the free fantasia and the recapitulation, instead of, as usual, toward the close of the latter.* 382. A very important innovation in the concerto form was made by Mendelssohn, He dispensed altogether with the double exposition, and introduced the solo instrument at the commence- ment of the movement. With this alteration the concerto becomes in all essentials identical with the sonata form. The example ot Mendelssohn has been followed by Schumann, and by most later composers, though Brahms in his first piano concerto, Op. 15, has adhered to the older form, and given a complete double exposi- tion. The two piano concertos by Liszt are so irregular in their form that they are in reality more like rhapsodies or fantasias than concertos of the kind we have been describing. 383. One more modification of the sonata form has still to be spoken of — the Sonatina. The name is the Italian diminutive of ' Sonata,' and means literally ' a small sonata,' but it is often somewhat loosely applied. We find it once in the clavier works of Handel, as No. 10 in the Third Collection. This 'Sonatina' is nothing more than a small piece for harpsichord, 19 bars long, and in simple binary form (Musical Form, Chap. IX.) ; it is not therefore a sonatina in the modern sense of the term. The same may be said of the only piece entitled ' Sonatina ' in Bach's works . — the short instrumental introduction to the cantata " Gottes Zeit ist die allerbeste Zeit." 384. The Sonatina properly so called is a sonata on a very small scale. In many cases both first and second subjects are extremely short, the bridge passage is wanting altogether, and * A cadenza similar to that here described will occasionally be found in pianoforte sonatas. Examples may be seen in the first movements of dementi's sonatas in C, Op. 36, No. 3 ; B flat, Op. 46, and A major, Op. 50 No. I, and of Beethoven's sonata in C major, Op. 2 No. 3. Chap. IX.] Modified Sonata Forms. 209 there is little or no free fantasia. The general outline of the sonata form is preserved, and that is all. As an example we give the first movement of a very short sonatina by Kuhlau. Allegretto. Kuhlau : Sonatina in G, Op. 55, No. 2. / nit ' P- ■ 1.1 ; (« &*- ■ u .r j l - " - ! — it — ^ — T» *- -P- M. '-r 1 f 1 ■* 1 — 1 V (8) — —j rrr -St ^ (8) • »*~ h 1 ■ -l ■■ ■■-) "^fri - Hj— P^Tj ffl-M^ j^gg^-i^ _P 1 fV • a 1 ■'■iij - * ■" ■ *s ■v. 1 * (Sa) 4^= i-rr^ *l«.ff-. Applied Forms. [Chap. IX /^ #fffr^- r^tPr-r i-f — fr- Vr mf ■'" 1 1 ' V ST ' '* ' -*— 1 -— S-s .=- j The first subject contains only one eight-bar sentence, ending with a half cadence ; the second subject, in the dominant, follows at once without a bridge-passage. This subject also consists of only one sentence, extended to twelve bars by prolongations of the cadence. Instead of a free fantasia, a single eight-bar sentence leads back at once to the return of the first subject, now varied Chap, ix.] Modified Sonata Forms. 211 and extended, which is followed by the second subject in the tonic key. There is no coda. 385. It must not be supposed that all sonatinas are as concise in their form as that which we have just given. To save space we selected one of the shortest we could find. It is in fact impossible to lay down any absolute line of demarcation between the Sonatina and the Sonata. For example, Clementi's sonatas, Ops. 37 and 38, are in some editions called sonatinas ; while Beethoven's sonatina in G, Op. 79, the first movement of which is 201 bars in length, is more extended in its developments than either of the two sonatas, Op. 49, which in all respects are more really sonatinas than Op. 79. The same is still more the case with the same composer's ' Two Easy Sonatas ' in G major and F major, which are strictly sonatinas, and not properly sonatas at all. 386. In some examples of the sonatina, the sonata form is altogether abandoned. In the six sonatinas, Op. 20, by Dussek, in Nos. 1, 2, and 5, the first movement is in simple binary form, and is followed by a short movement in the older rondo form. In two other examples by the same composer (Op. 28, Nos. 2 and 5,) both the movements are in simple binary form. In such cases the name ' Sonatina ' ceases to be strictly applicable. The same remark will apply to the two easy sonatas by Beethoven of which we spoke just now, the first of which, at all events, is a sonata only in name. Applied Forms. [Cnap. X. CHAPTER X. THE MODERN RONDO (RONDO-SONATA) FORM. 387. In Chapter VI. of this volume we dealt with the older Rondo form, and we remarked (§ 180,) that there was another kind of Rondo, differing altogether from the one there treated of, and which was a modification of the sonata form. We have now to explain the construction of the more modern rondo. 388. As in the older rondo, so in that now under considera- tion, the opening subject is almost invariably a simple binary form of two sentences, ending with a full cadence in the tonic key. If we compare in any of Beethoven's sonatas the first subject of the first movement with that of the rondo, we can hardly fail to be struck with the greater simplicity of the rhythmic construction in the latter. It is very rare for the opening of a rondo to be in any but perfectly regular four- and eight-bar rhythm. The only exception to this that we can recall is in the rondo of Haydn's Piano Sonata in C, No. 16, the first subject of which was quoted in § 230 of Musical Form, as an example of six-bar rhythm. It is rather curious that the later rondo form is extremely rare in Haydn's works, though common enough in those of Mozart and Beethoven. 389. The rhythmic regularity of which we have just spoken generally gives a song-like character to the opening of a rondo, which further helps to distinguish it from a movement in sonata form. This will be clearly seen if we quote the commencement of a few rondos by various composers. To save space, we give the melody only of the first sentences. (a) Allegretto grazioso. Mozart : Sonata in B fiat, No. 13, -I — r («) Allegro. (8) Mozast : Sonata in E flat, for Piano and Violin. — — ' — • ^ ■ • **• — *. -*3* TO iriJ*. Chap, x.] The Modern Rondo Form. 2 1 3 if) Pico Allegretto egrazioso. Beethoven : Sonata, Op. 7. t I ; I ■ h . 1 1 _ . m _ __ 1 J ■ The student will do well to compare the first movements of the works from which we have quoted with the themes here given. He will at once perceive the difference in character of which we are speaking. 390. The opening of a modern Rondo form so closely follows the plan of a sonata movement that it can be appropriately described as the ' Rondo-Sonata ' form — the name which we give in our heading as the second title. The first subject is followed, not (as in the older rondo) by an episode, but by a bridge-passage, leading in a major movement to the key of the dominant, and in a minor movement to that of the relative major, to introduce the second subject, which here follows the same rules with regard to its tonality as in a sonata movement. It is worth noticing that Beethoven, who made many innovations as to the key of the second subjects in his sonata movements (see §§ 241-246), never tried similar experiments in his rondos. In these the second subject is always in the dominant or the relative major, according as the movement is in a major or a minor key. * 391. Here the student may very naturally ask, Why not call this theme, in the dominant or the relative major, as the case may be, the first episode? for we read in the sixth chapter that a rondo contains one principal theme, interspersed with episodes. This question has been not infrequently put to the author by his own pupils ; and, as the distinction is not always understood, it is as * The second subject of the rondo in the sonata. Op. 49, No. I, is an apparent exception to this rule ; but the movement is irregular in form, as we shall show later in this chapter 214 Applied Forms. [Chap. x. ' well to make it clear. An episode never appears more than once in the course of a movement, though it may be referred to later in the coda ; but we shall see presently that what we are now speak- ing of as ' second subject ' will be heard subsequently in the tonic key, just as in a sonata movement. Any subject which is heard twice in different keys, the second being the tonic, can never in a . regularly constructed movement be regarded as episode. 392. The second subject in a modern rondo is generally shorter than the corresponding portion of a movement in sonata form, seldom containing more than two sections, and not in- frequently only one. This second subject always ends on the dominant, or dominant seventh of the tonic key. In the somewhat rare cases in which the form is used for a movement in a minor key,* the second subject ends in the relative major, but is followed by a codetta modulating back to the tonic key, and ending on its dominant harmony. 393. We now come to the first important respect in which this form differs from the true sonata form. We have already learned that in a movement in sonata form, either the whole exposition is repeated, or the free fantasia follows the second subject — possibly with a codetta between the two (§§ 266, 267). But in the rondo-sonata form the whole exposition is never repeated, while the first subject invariably is so. Here is a rule which will enable the student to distinguish without fail between the two forms. ' This additional appearance of the first subject gives, as we shall see presently, the three entries which are alike distinctive of the older (§ 188,) and of the modern rondo forms. With this re-entry of the first subject the first part of the movement concludes — always, be it observed, in the tonic key. 394. In the second part of a rondo-sonata movement is seen the other fundamental distinction between it and the sonata form. In the latter, the second part consists chiefly of development of the material of the subjects announced in the exposition, and, though the introduction of episodical matter is not infrequent, episode generally occupies only a subordinate position. In the rondo-sonata, on the other hand, we find exactly the converse; the second part of the movement begins with an entirely new episodical subject, in a different key from those of the first and second subjects. The keys generally chosen for the episode are, in major movements, either the subdominant major, the relative minor, or the tonic minor; in his minor movements Beethoven puts his episode into the submediant major, while Schubert, in the rondo of his sonata in A minor, Op. 42, has the episode in the tonic major, as has also Mozart in the rondo of his sonata * In the entire collection of Beethoven's works, only three minor move- ments are written in the Rondo-sonata form. Curiously enough, all three are in C minor ; they are the finales of the Sonata Path&ique, of the sonata for piano and violin, Op. 30, No. 2, and of the piano concerto in C minor, Op. 37. Chap. X.] The Modern Rondo Form. 2!S in the same key. Occasionally a major key in the second degree of relationship is selected for the episode. Thus Beethoven in his Rondo in G, Op. 51 No. 2, has the episode in E major. This piece also furnishes a somewhat rare example of a change of tempo for the episode, the Rondo being in £ time {Andante cantabile egraziosd), and the episode in | {Allegretto). 395. The end of the episode, in whatever key it may appear, is so contrived as to modulate back to the dominant harmony of the tonic key, exactly as is the case with the close of the free fantasia in a sonata form. The recapitulation which succeeds follows exactly the lines of the corresponding portion of a sonata movement, but with this difference, that the first subject is more frequently (though not invariably) ornamented on its reappearance. A bridge passage leads in due course to the second subject, now almost always in the tonic key, and the movement concludes with a coda, in which the first subject is frequently introduced for, the fourth time. 396. Before analyzing a few examples of this form, it will be well to summarize it in a few words. It will be seen from our description that we have here, as in the sonata, another variety of ternary form. Its three parts are the following : — Part I. First subject. Bridge passage. Second subject, followed by codetta, leading back to dominant of the tonic key. Repetition of first subject. Part II. Episode, ending on dominant harmony of tonic key. Part III. First subject. Bridge passage. Second subject (in tonic key). Coda. 397. The movements now to be analyzed will not only illus- trate the general outline above given, but will also show some points that we have not yet had opportunity to refer to. As a short and simple example, we first take the rondo of Beethoven's sonata in E major, Op. 14 No. 1. The student is advised to number the bars of his copy tor reference. In our own numbering we do not include the half bar with which the movement begins, as it contains no strong accent. 398. The first- subject of the rondo begins with a simple sentence of eight bars — (a) AUegm commotio. (It is sufficient to quote only the melody.) This subject is then 2l6 Applied Forms. [Chap. x. repeated as far as the sixth bar, and the bridge passage begins with imitative treatment of the descending scale in the first subject. The bridge is only seven bars long, and at bar 21 the second subject follows. This subject is unusually concise; it consists of only one sentence, the after-phrase being a slightly varied repetition of the fore-phrase. The last two chords of the above extract form a " link " which leads at once to the repetition of the first subject, now in a complete form. 399. A codetta, formed from the material of the first subject, leads to the episode, which begins at bar 47 in the key of G major — a key in the second degree of relationship to the original tonic (§ 394). We give the first bars. r- f^J-W. fym-i - r«i,J""n flfc ■rp, - aL *- "1 -1 'J-'"' 1 J ' l 1 *r- %=*=£- — =4- -a -1 * ^ Chap. X.] The Modern Rondo Form. 217 This episode modulates through A minor and B minor back to G major (bar 60), and thence to E minor (bar 64), concluding with a half cadence on the dominant of that key (bar 83). We then reach the recapitulation. The first subject is given unchanged in E major, and the bridge-passage is transposed a tone lower than before, and is now in A major, instead of B major. The intro- duction of the second subject in the key of the subdominant at bar 98 is most unusual, and the modification of the after-phrase, with the return through F major to the tonic key, is as beautiful as it is unexpected and original. (*> .. >, J~ . 1 fi^n-l i A " r "i 1 _j p gfgfe 1 — "up ' f- up- J 1 pp 1 f _ : \ ,L ! r ^ | "r j= -*— ' 1 The coda, which immediately follows the pause, is mostly con- structed from the first subject. We see it with syncopations in the upper part (bar 108,) and in the bass (bar 112), while at bar 121 the melody is modified by the introduction of passing notes and rests ; and the coda-ends with a portion of the bridge- passage transposed into E, and with the final cadence modified. 400. For our next example we take the Rondo of Beethoven's sonata in B flat, Op. 22. The form here is the same as in the movement just analyzed, but it is on a larger scale, the present rondo containing 199 bars as against 131 of the rondo in E. The first subject, beginning (a) Al leirretto. Beethoven : Sonata, Op. 22. contains two sentences ; the first, eight bars long, ends with a full cadence in the dominant key, and the second, which, by a cadential repetition, is extended to ten bars, ends in bar 18 with a full cadence in B flat. The bridge-passage, six bars in length, modulates to the dominant key; it will be recognized by its commencement. 218 Applied Forms. [Chap, x The second subject consists of one eight-bar sentence, of which we quote the fore-phrase — The after-phrase is a varied repetition of the tore-phrase, and ends with a full cadence in F. On the last note of this cadence begins a codetta, the first eight bars of which consist of arpeggios modu- lating to B flat minor, and ending at bar 40 on the dominant of that key. Passages of imitation, founded on the beginning of the first subject, lead back at bar 49 to the return of that subject, given complete and without any alteration. 401. At bar 67 the episode begins in B flat minor, with a modification of the bridge-passage (bar 18). The proper subject of the episode appears a little later, at bar 72. lffiA^ fvr *'^-rj% f 1 ' 1 Ml 1 1 1 1 1 SS=f- m , It , ^— . BSgsq— ' P 2 ^ j,* >'***■» * "d 11* * I i i 1 ' This passage, in three-bar rhythm, is repeated an octave higher, and the cadence is prolonged by two bars. At bar 80 the first bars of the episode are treated contrapuntally, The Modern Rondo Form. 219 till bar 95, when the subject before given in F minor is repeated in B flat minor. At bar 103 begins the return to the first subject. The first two bars of this subject appear in the bass in G fiat major, then a tone higher in A fiat minor, and a continuation of the music through B fiat minor leads back to the first subject, now in the middle part of the harmony. (e) &5 ^2 sj —- j— 1 r=^ ' fP '-" ^ \ M -' I \}0M jl ':K3*L- * — : — z^jabjfaab] I IS B.j-1 | ?*JJjJJJJJJJ^^Wj- 1 1 ^_ s ^-3^ -m 1st Subject Applied Forms. [Chap. X In the second sentence the melody appears again in the upper part, but the octaves are now broken. The bridge-passage, beginning at bar 129, is extended by two bars, and introduces the second subject at bar 137 — now in the key of B flat. 402. The coda of this movement is of considerable extent — 54 bars. It begins with the first bars of the codetta (bar 32) now transposed to the tonic key, and with a new continuation, leading to the key of E flat. In this key the fore-phrase of the first subject is heard, and continued with thematic developments through C minor back to B flat. The whole of the first subject is now repeated, with a new variation in triplets. Though it is very common to find a reference to the first subject in a coda, it is rather rare to find it repeated (as here,) in its entirety. It will be seen that we have in this movement four complete appearances of the first subject, of which the third and fourth are varied. At bar 182, a new theme, evidently suggested by the bridge passage, is heard, and the movement concludes with a last reference (bar 194,) to its opening bars. 403. It will be seen that in the rondo we have just analyzed there is much more thematic development than in that in E. In some cases thematic development takes the place of episode, — or perhaps it would be more strictly accurate to say that the episodical matter, if it can be so called, is developed from the first subject of the movement. This is the case in the finale of Beethoven's Sonata quasi Fantasia in E flat, Op. 27, No. 1, which, though not entitled 'Rondo' is really in the form now under notice. The first subject begins Beethoven : Sonata, 0^. 27, No. x. (0) tr i^s mM> rr ^ r ^¥ cres. &c. ii*T.-h-¥, =r- , ^— " !■ 1 -h St- !w-!Mr4 — nj%3*3£ *J»':-HJJ-^- L ** L ~ L E5=l This subject contains two eight-bar sentences, the second of which is repeated, the whole subject thus containing 24 bars. The bridge-passage extends to bar 35, and the second subject begins on the last quaver of that bar. It contains two sections, of which the second, commencing at bar 56, is built on the tonic pedal of B flat. At bar 72, A flat is added to the tonic chord of B flat, thus converting it to the dominant seventh of E flat (§ 39 2 )> t0 lead back to the return of the first subject at bar 82. Chap. X.1 The Modern Rondo Form. The first sixteen bars appear unchanged ; but the second sentence is modified on its repetition (bar 98), and modulates to E flat minor, and thence to G flat, in which key the following theme appears at bar 106. It will be seen that both the subject in the bass and the counter- point in semiquavers are suggested by the opening bars of the movement quoted at (a) above. Properly speaking, there is no real episode in the movement. Similar examples, and perhaps even more pronounced, will be seen in the Rondos of Beethoven's sonatas in G, Op. 31 No. 1, and E minor, Op. 90, and of his sonata in C minor, Op. 30, No. 2, for piano and violin. 404. As the examples hitherto analyzed have all been taken from sonatas, we give as our next illustration one which forms a complete piece by itself — Schubert's Rondo in A, Op. 107, for piano duet — a work of the utmost interest from its intrinsic beauty, as well as a characteristic specimen of this form. The first subject, commencing with the following melodious theme, Schubert : Rondo. Op. 107. (a) All egretto, quasi And antino* Jjjj^jj,^]^ , jjsjgs 222 Applied Forms. [Chap, x consists of four eight-bar sentences, of which the third is a repetition of the second, and the fourth an ornamented version of the first. The bridge-passage begins in F sharp minor, ' 1 \ m * m — and modulates to the key of the dominant, ending, not (as usual,) with a half cadence, but with a full cadence in that key. 405. The second subject contains two sections ; the first opening thus — In the after-phrase of this sentence the two upper parts are inverted, and the continuation of the music shortly introduces the second section, with a charming five-bar rhythm — Chap. X.] The Modern Rondo Form. 223 A full cadence in the key of E is repeated and prolonged over a tonic pedal, after which 'the return to the first subject is made through the following graceful passage — The first subject is then repeated in its entirety, and is followed by the episode, which begins in C major, with the following vigorous theme in the bass accompanied by arpeggio triplet semiquavers in the upper parts. &c. 406. The episodical portion of this movement is comparatively short — 37 bars, — and it is interesting as showing a combination of the two methods that we have noticed in previous examples. The first fourteen bars are constructed from new material ; but from the fifteenth bar, the second section of the second subject (§ 405 (6),) is introduced with a new accompaniment of triplets, first in B flat, then, by a remarkable enharmonic change, in B major, next through D minor, and so back to C, and A minor, after which the recapitulation begins with the first subject in A major. 224 Applied Forms. [Chap. x. 407. This recapitulation, which is quite regular, is followed by a long and very beautiful coda. At the end of the second subject, on a tonic pedal, as before, an interrupted cadence leads at once to F major, and the subject, § 405 (U) is heard in the tenor. A modulation back through A minor introduces the passage of which we quoted the opening at § 405 (c), at the end of which the first subject appears for the last time, now in the tenor, and with a counterpoint in semiquavers above it. The whole subject is given in this form, and the movement concludes with fragments of the first and second subjects. 408. We have analyzed this rondo in some detail, as being a Chap- x.] The Modern Rondo Form. 225 particularly good example of the form we are now treating ; and we advise the student to procure the piece for himself, and examine it thoroughly. It is one of the ripest and most characteristic of Schubert's works, and he will certainly not regret making its acquaintance. 409. It is very seldom that much irregularity is met with in this form, of which the variations are mostly much less important than those of the sonata form. Occasionally, how- ever, we find a movement which it is impossible to consider other than a rondo, but which departs somewhat widely from the out- line we have given. Such a case is seen in the Rondo of Beethoven's little sonata in G minor, Op. 49 No. 1, to which we referred in the foot-note of § 390. It begins with a first subject of two perfectly regular eight-bar sentences, both ending with a full cadence in G major, the tonic key. The music then modu- lates at once to G minor, and after four (unison) bars of " bridge," a new theme is introduced in the tonic minor. This cannot be considered a second subject, for it does not afterwards reappear in a different key : neither can it be regarded as episode, because we find it again in the same key at bar 68. It can only be called a prolongation of the bridge-passage. It is of irregular rhythmic construction, the fore-phrase containing three bars with a feminine ending, and the after-phrase five, which are extended to seven by the repetition of the cadence- The after-phrase modulates to B flat major, in which unusual key the second subject makes its appearance at bar 32. This second subject contains two sections, each of which is composed of two eight-bar sentences. At the end of the subject (bar 64) the unison passage (bars 16 to 20,) is repeated, and is followed by the prolongation of the bridge- passage. This has its after-phrase varied so as to end in G minor, and to lead back through the chord of the dominant seventh to the first subject, in G major as before. This is immediately succeeded by the second subject, now also in G major, after which a coda, developed from the first subject, concludes the movement. 410. It will be seen that the keys in which the second subject is introduced are those which would be usual if the key of the piece were G minor, instead of G major; but it is altogether exceptional to find a second subject of a major movement in the major key of the flat mediant (§ 247). The explanation is that the whole movement, as we have seen, is irregular in form ; and it is for that reason that we have analyzed it. 411. It is worthy of notice that the rondo-sonata form is always met with either as an independent piece, as in Beethoven's Rondo in G, Op. 5 1 No. 2, or the Rondo by Schubert analyzed above, or as the finale of a cyclic form, such as a sonata or quartett. If a rondo is found, as is not uncommon, 'in a middle movement, or even a first movement of a large work, it is 226 Applied Forms. [Chap. x. always in the older rondo form described in Chapter VI. Though the examples analyzed in this chapter have all been taken from pianoforte music, the form is frequently used also for symphonies, quartetts, &c. ; but in the majority of instances it will be found that in such cases, there is very little or no episode, but that the middle section of the movement mostly consists of thematic development, as in the sonatas referred to in § 403. Such a movement evidently differs from a sonata movement only in the additional entry of the first subject at the end of the exposition, the third appearance of this subject making the move- ment into a Rondo. Chap. XI.] Mixed and Indefinite Forms. 227 CHAPTER XI. MIXED AND INDEFINITE FORMS. 412. In the preceding chapters of this volume we have dealt, as fully as our space permitted, with the principal forms to be met with in the instrumental works of both older and more recent composers. Many pieces are, however, to be found which cannot be properly classified under any of the divisions of which we have treated, but which either partake of the characteristics of more than one, or are so vague in their form and outline as to refuse to be brought under any. It is of these we have now to say a few words; the former we call mixed, and the latter indefinite forms. We shall speak first of the mixed forms. 413. The available combinations of the different forms with which we are already acquainted are so numerous that it is quite impossible to treat them exhaustively. The plan we shall adopt will be to take various examples of mixed forms from the works of the great composers, and to show in what their peculiarities consist. When the student understands how they are constructed, he will probably find little difficulty in analyzing for himself such others as he may meet with. 414. Hardly less difficult than the exhaustive treatment of these mixed forms is their systematic classification. In many cases, indeed it is almost impossible to decide with certainty whether the amount of variation from a normal form is sufficient to entitle a movement to be classed among the mixed forms or not. Take, for instance, the finale of Weber's sonata in D minor. The composer himself calls it ' Rondo,' but an examination of the movement shows that -it differs widely, both from the old Rondo form treated of in Chapter "VI., and from the Rondo- sonata form examined in the last chapter. The first subject will be recognized — Weber: Sonata in D minor, Op. 49. 22S Applied Forms. [Chap. XI. This sentence is followed by a second, extended to twelve bars, and ending at bar 20 with a full close in the tonic key. The long passage that succeeds (bars 21 to 84,) is difficult to characterize. It cannot be called an episode, for it scarcely leaves the key of D, neither is it a bridge-passage, for it leads, not to an episode or a second subject, but to a return of the chief subject at bar 84. The first real episode begins in G major at bar 129. This is extended at considerable length, and ends in bar 196. A long codetta, founded upon the first subject, leads back to a second return of that subject at bar 229. The close is now modiSed, so that the music modulates to B minor, and thence to A minor. 415. After a half close in A minor, a new episode com- mencing I is introduced in the key of A major. This, both in tonality and character, resembles a second subject, and, as will be seen directly, it appears again, later in the movement, in the tonic key. With all respect to Weber, it must be remarked that this rondo is very faulty in its form. The almost universal practice of the great composers is to make the first important modulation, for a piece in a major key, to the dominant side, so as to preserve the supremacy of the tonic key. It would have been unquestionably better had Weber introduced this subject in A before that in G. So far as we can see, nothing is gained by departing from the usual method. A long passage, Chap. XL] Mixed and Indefinite Forms. 229 mostly founded on the opening bars of our last quotation, leads back to the third appearance (bar 358,) of the first sub- ject. This is followed at bar 392 by the repetition of the entire first episode— see § 414 (b)— now transposed into A major. The irregularity in the form of the movement is now strikingly apparent. We have called this theme in G major "episode," for want of another word; but the fact of its appearing a second time prevents its being really an episode (§ 39 1 )- Ifj on the other hand, we call it a second subject, it is most unadvisable that it should first appear in the sub- dominant key and subsequently in the dominant. It is immediately succeeded by the theme which was before heard in A, and which is now transposed into D (bar 459). The movement ends with a coda, in which the first subject is heard for the last time. The whole must be regarded as an irregular combination of the older and the modern rondo forms, and therefore a mixed form. From its peculiarities of construction, we do not recommend it for imitation. 416. The Andante con moto of the same sonata furnishes another example of a mixed form — here, however, much easier to account for and justify. It is a simple combination of the variation and older rondo forms. After an introduction four bars long, the theme is announced. It is in simple binary form, consisting of two sentences, each eight bars in length. It will suffice to quote the fore-phrase of the first sentence. Weber : Sonata in D minor, Op. 49. ^-^ j-ji J-SiJ 1 J7T3 nj^- TTT^i 1 > " ■ r f f u 1 II 1 ^ 'ml *^tri g g g g t -*- s * * f =r* f dpyrrb^A — —w — m — up — * M^v 1 =*- &c This theme is twice varied, after which comes an episode, mostly in G minor, but with incidental modulations to other keys. Though its commencement is founded upon the theme, its continuation is quite different. It is thirty-one bars long, and is followed by the third variation. To this succeeds a second episode in E flat, 230 Applied Forms. (Chap. XI. only twelve bars long, after which a codetta of four bars, which is nothing but a repetition of the fore-phrase of the second sentence of the theme, leads to the final variation. A coda of eleven bars concludes the movement. 417. The finale of Mozart's piano sonata in D (|,) shows a not unusual compromise between sonata and rondo forms. The first subject begins (a) Allegretto. Mozart : Sonata in D, No. 17. £fcj E— --^-J -- ^- ■- m Mm ' » - I ' m 0H m | tJ = The second subject contains three short themes of which we quote the commencements, that the student may be able to identify them. m a) fm-Q (2) !i>i"-rp!£f " r Tr &c. &c. ,». * m n-fl p r-M II ggs^eP^z l^^ * "1 — l/TK* 1 ' *^ ~P ~H The first, as is not uncommon with Haydn and Mozart, is developed from the first subject. At the end of the sentence the first two bars of which are seen at No. 3, the exposition is completed, and a codetta of six bars leads back to the return of the first subject. 418. Thus far the movement is in the regular Rondo-sonata form described in the last chapter ; but from this point it more resembles a sonata movement. It contains nothing that can be called episode ; all that follows, down to the recapitulation, Chap. XI.] Mixed and Indefinite Forms. 231 is thematic development. We know already (§ 403,) that cases of this kind are not uncommon in the modern rondo form ; but the peculiarity here is, that the first subject does not appear at all at the beginning of the recapitulation — perhaps because it has been almost continuously present in the developments. The recapitulation commences with the second subject, and the first is not heard again till the coda. It would be possible to regard this as one of those cases in which the second subject precedes the first in the recapitulation (§ 329) ; but this assump- tion will not make the form a regular sonata form, as we still have the additional entry of the first subject at the end of the exposition. It is in fact a mixed form, partaking of the characteristics of both rondo and sonata forms, with more of the former than the latter. 419. The converse case will be seen in the finale of Beet- hoven's sonata in F minor, Op. 2 No. 1. This movement as a whole must be regarded as in sonata form ; for the entire exposition is repeated, which is never the case in a rondo. But the middle section of the movement, instead of free fantasia, contains an episode of a character strongly contrasted with the principal subjects. Beethoven : Sonata, Op. 2, No. 1. \ it. This feature of the movement prevents our considering it a regular sonata form ; it is another mixed form — a sonata move- ment with a rondo-like episode in place of the usual free fantasia. 420. The adagio of the third sonata in Beethoven's Op. 2 shows yet another mixed form. This is a combination of ternary with irregular sonata form. The chief subject is in E major; at bar 11 the key changes to E minor, and the music modulates to G. In this key what may be described as a second subject appears at bar 19. Note that G would not be a suitable key were the movement in regular sonata form. It would be more appropriate as the key for an episode in either ternary or older rondo form ; but this is not an episode, as it is introduced later (bar 59,) in the tonic key of E major. The movement therefore resembles a sonata form in the double appearance of the second 232 Applied Forms. [Chap. XI. subject ; while the key in which that subject first appears, and the absence of anything like development render it possible also to regard the movement as an irregular ternary, with an unusually long coda (beginning at bar 53,) in the course of which a great part of the episode, as well as the whole first subject, is repeated in the tonic key. The third repetition of the first subject (bar 67,) might induce us to consider this as a rondo were it not that there is no new episode, but only a modified repetition of the first one, after the second appearance of the first subject. 421. A somewhat, though not altogether, parallel case to that just noticed will be seen in the first movement of Beethoven's sonata in F, Op. 54. Here we have a combination of the simple ternary and older rondo forms. It commences with a subject, twenty-four bars long, but consisting of only one sentence extended by repetitions. We give the fore-phrase : — In temfo d 'jtn Menttetto. Beethoven : Sonata, Op. 54, .it -p- The fore-phrase is repeated, and the after-phrase prolonged by a double repetition of its first section. Like the fore-phrase, the after-phrase is given twice. It is followed by a new idea, beginning in octaves with both hands. Though episodical in character, this can hardly be called a regular episode, for it is still in the tonic key. It modulates to the key of the dominant, and is then repeated, with some modification, in the key of A flat. From this key modulations Chap. XL] Mixed and Indefinite Forms. 2 33 are made through F minor and D flat back to the dominant of F. The first subject is then repeated with some embellishments, after which a few 'bars only of the octave passage quoted at {b) above are heard, and the first subject is given for the third time, with a more florid variation than before. A coda, as usual, concludes the movement. It will be seen that we have here the three appearances of the chief subject characterizing the rondo form, but that, instead of a second episode, there is only a partial repetition of the first one. The movement is, as we said above, a combination of the ternary with the older rondo form. 422. Another example of a mixed form will be seen in the finale of Beethoven's sonata in F sharp, Op. 78. This is a movement which is very difficult to analyze with certainty, by reason of the indefiniteness of its form. The first subject, which is a large binary form, extends to bar 47, and ends in the tonic key, F sharp major. At bar 57 a new theme is presented, in D sharp major and minor. As this theme appears subsequently (bar 116,) in the tonic key, it must be considered a second subject, not an episode (§ 391). The movement can be therefore neither in ternary nor in older rondo form. But it is certainly not in rondo-sonata form ; for in this the second subject would appear in the dominant key, and would be fol- lowed, as we saw in Chapter X., first by the return of the first subject in the tonic key, and then either by an episode or by developments. As a matter of fact it leads back at bar 89 to the first subject in the subdominant key. At bar 116 the second subject, as just now mentioned, appears in the tonic key, and at bar 150 the first subject is heard for the last time, with a new prolongation serving as coda. The whole movement is very irregular, and is a kind of cross-breed between sonata and rondo forms. 423. Schubert's well-known Impromptu in F minor, Op. 142 No. 1, shows a mixed form of another kind. It begins like a sonata movement, the first subject Allegro moderato. to Schube&t : Impromptu, Op. 142, No. t. 234 Applied Forms. [Chap. XI. ending in F minor at bar 13. A long and very interesting bridge-passage introduces at bar 45 the second subject in the normal key of the relative major. To this subject is appended at bar 69 an entirely new theme, beginning in A flat minor and modulating freely. i #6 W Sinistra. ' ~d i2g_ g j j a b Appassionato. J^T j J±\ \ Jfjl JI5I J^ „5 Tj J5pJ3p. Rfc** ^» 1 '-kt w-T! t=^ — = — 1= — V- J.J ■ E -p — It at last returns to A flat major (bar in,) the passage last quoted being repeated in the major mode, and with a new continuation. At bar 130 a return is made to the first subject. 424. It might be imagined that we had here a modification of the regular sonata form by the substitution of an episode Chap, xi.] Mixed and Indefinite Forms. 235 for the free fantasia. But the subsequent repetition (beginning at bar 197,) in the keys of F minor and major of the whole of this portion of the movement negatives this hypothesis. After the first subject has been repeated, a modification of the bridge-passage leads to the resumption of the second subject, now in F major, followed, as we have just said, by the whole of what, for want of a better name, we may call the intermediate section of the piece. It would be, of course, possible to regard the whole of this section as a continuation of the second subject. In this case the movement would be in the abridged sonata form described in Chapter IX. ; but the whole passage beginning with our last quotation is so episodical in character that it is better to consider the movement as irregular. 425. Another irregular movement by Schubert must next be noticed. This is the finale of his .piano quintett in A, Op. 114. The form is probably absolutely unique — at least in modern music. The movement contains 472 bars, and is divided into two exactly equal parts of 236 bars each. The first part is like the exposition of a sonata movement, but with the second subject, beginning at bar 84, in the key of D major — the subdominant. The whole first part is nlarked to be repeated. The curious point about the movement is, that the second part is, with the exception of a few slight changes in the distribution of the stringed instruments, an exact transposition of the first. All which in the exposition was in A is now in E, and all that was in D is now in A. There is not a single bar of coda. We have in this finale a fusion of the old sonata form, described in §§ 21 7- 221, with the more modern form. From the older form is borrowed the parallelism of the two halves of the movement (compare the sonata by Scarlatti irr § 217), while the preservation of the relation of the keys of the first and second subjects in both parts of the movement is a feature of the modern sonata form to be found when the first subject in the recapitulation is in the key of the subdominant (§ 328). 426. Another curious point about this movement is the presentation of the second subject, and the close of the ex- position in the subdominant key. This is as unusual as it is mostly unadvisable (§ 241). In the present case, however, the bad effect is neutralized by the introduction of the first subject immediately afterwards in the dominant key — a key, be it noticed, exactly as far on the sharp side of the tonic as the subdominant is on the flat side ; so that between the two the equilibrium is maintained. The student need hardly be reminded that the more usual course of modulation is the converse, — first to the dominant key, and later to the subdominant. 427. Space will not allow of our analyzing several other examples of mixed forms which we had noted ; the varieties are so many that it would in any case have been impossible to 236 • Applied Forms. [Chap. xi. exhaust the subject. We now proceed to say a few words about the indefinite forms. There are some names which are so variously applied as to render accurate definition an impossibility ; and it is of these that we have now to speak. 428. A few words may first be said as to the Introduction. This differs from all the other forms we are considering in the fact that it is never complete, but always leads into the following movement. It is invariably in slow time, 1 and ends mostly with a half cadence on the dominant of the key of the following move- ment,* which will have the same tonic as the introduction itself, though the mode is sometimes changed from major to minor, and vice versa. The material of the introduction is mostly quite different from that of the movement into which it leads, though sometimes, as in Beethoven's Sonata Pathe'tique, and in his Sonata Op. 81, the subject is reintroduced in the following allegro. It is mostly met with at the commencement of a work in cyclic form, such as a symphony, quartett, or sonata ; but it is also sometimes to be found before other movements than the first. In Beethoven's Septett, Op. 20, the finale is preceded by a short introduction, as also is the fugue in his great sonata, Op. 106. In the 'Waldstein' sonata (Op. 53,) an introduction to the rondo takes the place of the slow movement. 429. The introduction is also not infrequent before variations and rondos, when these form independent pieces. Examples of the former will be seen in Beethoven's variations, Op. 35, and in Chopin's Variations on ' La ci darem,' Op. 2, and of the latter in Hummel's Rondo in A, Op. 56, and Schubert's Introduction and Rondo, Op. 145. The form and style of these and other Intro- ductions differ so widely that no rules can be given to the student as to how they should be written. He will best learn how to set to work by examining for himself as many specimens as possible: 430. The Toccata derives its name from the Italian verb toccare, to touch — that is, to play a keyboard instrument. In the seventeenth century the word was used, according to Michael Praetorius (Syntagma Musicum,) to describe " a prelude which an organist improvises out of his own head, before a motett or fugue, with mere single chords and flourishes (Colorature)." Many of the Toccatas of Bach, both for clavier and organ, correspond to this description, though Bach frequently includes the fugues that follow such preludes under the same name, as in the Toccatas for clavier in C minor, F sharp minor, and D minor. At other times he restricts the name Toccata to the showy and florid prelude, as in the organ Toccatas in F major and D minor. Marx in his ' Composition ' (Vol. III. p. 42,) speaks of the Toccata as a higher kind of Etude, devoted to something more than a merely technical end. All authorities are agreed that the * In the introduction of Mendelssohn's Capriccio in A minor, Op. 33 No. 1, the close is made on the chord of the diminished seventh. Chap, xi.] Mixed and Indefinite Forms. 237 name is used so loosely that it is impossible to distinguish it from a prelude or a fantasia. 431. In some cases a Toccata is a free improvisation on one particular figure. For example, the second movement of Beethoven's sonata in F, Op. 54, which is founded almost en- tirely on the figure of the commencement Allegretto. is best described as a Toccata, though the composer has not given it that name. Schumann's Toccata for the piano (Op. 7,) is in reality a study in double notes, written in regular sonata form. Beyond these generalizations it is not possible for us to go. 432. No less variable are the forms to be met with under the name of Capriccio, or Caprice. Like the Fantasia, to be spoken of later, the name of the piece implies that the composer is free to follow his own whims. , It is found three times in the clavier works of Bach, and the pieces bearing it are absolutely different in form. The Capriccio in B flat (' On the departure of his beloved brother ') is a descriptive fantasia in six movements ; that in E major is a free fugue ; while the Capriccio which forms the finale of the Partita in C minor is a contrapuntal movement in binary form. Of the two Capriccios in Handel's ' Suites de Pieces ' that in G minor is a free two-part fugue, and that in F major is in the old ternary form, with a Da Capo. 433. In more recent compositions we find the name applied to works of very various forms. The Caprices of August Eberhard Miiller are really elaborate Etudes written in sonata form. Weber's Capriccio in B flat (' Momento Capriccioso,' Op. 12,) belongs to the mixed forms, being a compound of the ternary and the older rondo form. Of the various examples to be seen in Mendelssohn's works, the Capriccio in B minor, Op. 22, for piano and orchestra, consists of an introduction and an allegro in sonata form ; the three Capriccios, Op. 33, for piano solo are similarly constructed, excepting that the second has no intro- duction ; while the Capriccio in F sharp minor, Op. 5, and the 'Scherzo a Capriccio' in the same key are in ternary form. Stephen Heller applies the name 'Caprice' to several of his transcriptions of songs by Schubert and others. These examples will sufficiently show the vagueness with which the term is used. 434. Another of these indefinite forms is the Intermezzo. The name signifies an intermediate movement of some large work, and it is frequently used in this sense. Schumann several times employs it instead of ' Trio ' ; e.g. in his sonata in F sharp minor, 23S Applied Forms. [Chap. xi. Op. 11, the third movement of which he entitles 'Scherzo e Intermezzo,' and in his Romance in B major, Op. 28 No. 3, where the two trios (for such they undoubtedly are,) are called 'Intermezzo 1, 2.' In the well-known Novelletten, Op. 21, it is even more clearly seen that Schumann considered the two terms convertible ; for in Nos. 2 and 3 the middle part of the move- ment is called ' Intermezzo,' while in No. 8 a similar part is called ' Trio.' 435. It is not only to a middle section of a movement that the name is applied ; we often find it given to a middle movement of a cyclic work. The third movements of Mendelssohn's piano quartett in F minor, Op. 2, and string quartett in A minor, Op. 13, and the third movement of his quintett in A, Op. 18, are all called ' Intermezzo ' ; and so are the fourth movement of Schumann's ' Faschingsschwank,' Op. 26, and the second movement of his piano concerto. An examination of these works, in some of which the Intermezzo replaces the scherzo and in others the slow movement, will clearly show the student why we include this among the " indefinite " forms. Sometimes the name is given to quite independent pieces, as in Schumann's 'Six Intermezzi,' Op. 4, the fourth of which is a small binary, while the other five are all in ternary form. 436. The last form of which we have to speak is the Fantasia — one of the most indefinite and varied of them all. The name originally meant an improvisation, in which the composer followed his own fantasy ; and many, especially of the older fantasias have no distinct form which it is possible to describe. Bach mostly employs the word in the same sense as 'Prelude,' as, for example, in the Chromatic Fantasia and Fugue in D minor, or the Fantasia and Fugue in A minor ; but he sometimes also treats the Fantasia as an independent form. Curiously enough, the only Fantasia by Handel, (which is to be found in the third set of his ' Suites de Pieces,') is a very regularly constructed movement in old sonata form. The fantasias of more recent composers generally consist of a series of movements following one another without a break, in various keys, not always even ending with the same tonic with which they begin. For example, Hummel's Fantasia in E flat, Op. 18, begins in that key, and ends in G minor, while Beethoven's Fantasia in G minor, Op. 77, has the last movement in B major. These, however, may be regarded as exceptional cases ; in the majority we find the usual law of tonality, about which we shall have something to say in our next chapter, adhered to, 437. Occasionally a Fantasia is in one movement and one tempo throughout. This is the case in Mozart's Fantasia in C minor — not the one usually prefixed to the sonata in the same key, but a smaller work beginning Chap. XI.] Mixed and Indefinite Forms. 239 Mozart : Fantasia in C minor. if. which is, moreover, far more regular in its form than the majority of such movements, being in fact a sonata movement with epi- sodical matter in place of the free fantasia. The second and third of Mendelssohn's three Fantasias, Op. 16, are also single movements, the second being a very condensed and rather irregu- lar sonata form, while the third is a simple binary. It is worth noticing, as illustrating the indefinite meaning attached to the names, that Mendelssohn has entitled these three pieces ' Fantasias or Caprices.' 438. Composers often endeavour to give a certain unity to the fantasia by reintroducing the first subject near the end of the piece. Mozart does this in his larger Fantasia in C minor, with which most readers will probably be acquainted, and in the fine Fantasia in F minor, written for a mechanical organ, but best known in its arrangement as a piano duet. This work is in three movements, each leading into the following. The first is an introduction and fugue in F minor ; then comes an Andante in A flat major, and the final movement is a second fugue, on the same subject as the first, but with new countersubjects and more elaboration. Similar treatment will be found in Schubert's mag- nificent Fantasia in F minor, Op. 103, for piano duet, in which the first allegro is followed by a Largo, and this by a Scherzo and trio, both of these movements being in F sharp minor ; after which we find a finale founded upon the subjects of the first movement. 439. Though the different movements of a Fantasia are, as was said above, often connected with one another, we sometimes meet with examples in which such a piece contains detached movements, like a sonata or a quartett. Such is the case in Schumann's great Fantasia in C, Op. 17. The first movement, in C major, is an irregularly constructed ternary form, the episode being in C minor ; the second movement is a March in E flat 240 Applied Forms. [Chap. XI with a trio in A flat ; and the finale is a slow movement of irregular form, in C major. Mendelssohn's Fantasia in F sharp minor, Op. 28, has also three detached movements, the third of which is in regular sonata form — a rare thing in a fantasia. 440. The work just spoken of shows the transition to the Sonata quasi Fantasia of which Beethoven gives us two examples in his Opus 27. Mendelssohn's Fantasia is, in fact, built on the same lines as Beethoven's Sonata quasi Fantasia in C sharp minor. Beethoven's applies the term to sonatas of irregular form, and one or two of his other sonatas {e.g. Op. 54 and Op. 109,) might also have been called ' quasi Fantasia ' with hardly less appropriateness than those to which he hasgiven the name. Joachim Raff has also written a 'Fantasia-Sonata' (in D minor, Op. 168). in which not only are the movements continuous, but the subjects of the first movements reappear in a metamorphosed shape in the finale. What we mean by this will be seen by an example. After some preludial matter, the first subject of the opening allegro begins thus — A Itegro patetico. Raff : Fantasie-Sonate, Op. 168. cres - • Chap. XI.] Mixed and Indefinite Forms. 241 In the finale the same theme is given in the following shape — Allegro molto. (J) +.4L +. ■'■ fr +.*. m- * £- The second subject is also similarly transformed. This process, commonly known as the " metamorphosis of themes " is largely employed by Liszt in his 'Symphonic Poems,' which are in reality Fantasias for orchestra. 441. There is another kind of Fantasia, quite different from those of which we have been speaking. In this variety, the chief themes are not original, but are taken from the works of other composers. Such Fantasias are mostly founded on operas, sometimes on songs, in which case they are frequently called ' transcriptions.' They have no definite form, but usually contain an introduction and one or more themes with variations, interspersed with episodical matter. They are mostly intended for showy concert pieces. Thalberg, Liszt, Heller, Raff, and others have left us good specimens of fantasias of this kind, of which the artistic value is for the most part comparatively small. 242 Applied Forms. [Chap. xii. CHAPTER XII. CYCLIC FORMS. 442. We have now, as far as our space would allow, treated separately the various forms to be found in the instrumental works of the great composers, and we have seen that they were mostly extensions or variations of the two typical forms, the binary and the ternary, which were explained in Chapters IX. and X. of Musical Form. But some of these forms, and more especially the Sonata Form, are mostly found, not as independent pieces, but as parts of a larger work consisting of two, three, four, or even more movements. The term Cyclic Form is applied to works in which two or more movements are combined to form a homogeneous whole. 443. We have more than once had occasion in this and the preceding volume to point out the gradual evolution of the larger art-forms from the smaller ; we have seen how the ternary form is developed from the binary, and how the sonata form, the various rondos, and the fugue are developed as extensions of the simple ternary. The same process of development, though differently applied, may be seen in the construction of the larger art-works with which we have to deal in this chapter. 444. To make this clear, let the student remember what is the essence, as distinguished from the mere accidents of ternary form. It is the element of contrast produced by the insertion of an episode in a different, though related, key to that of the principal theme, sometimes also {Musical For?n, §§ 398, 399,) in a different tempo, after which the chief subject is repeated, generally with some modification. Now suppose that, instead of these three parts of one movement, we have three different movements, the second contrasted in key and tempo with the first and third, and that this latter, instead of being a more or less varied repetition of the themes of the first, is constructed of new material, having the same tonic, and a character which is in keeping with the first movement; we then have the three-movement form which we may regard as the typical Cyclic Form. Of this the two-movement form is a con- traction by the omission of the middle movement, while pieces in four and five movements are extensions, by the insertion of more than one middle movement. Chap, xii.] Cyclic Forms. 243 445. We have just spoken of the last movement of a cyclic work having a character which is in keeping with the first. This unity of character is extremely difficult to define in words ; but the student will understand our meaning if he will take two pieces in the same key and by the same composer, and observe how inappropriate, the last movement of the one would be as a finale for the other. Take, for instance, Beethoven's two sonatas in C minor, Op. 10 No. 1, and the ' Pathe'tique,' and exchange their last movements. We select these two works because they both belong to the same period of the composer's production. It is impossible not to feel that the unity of both works would be destroyed if the exchange we are suggesting be made. That this unity of which we are speaking was really considered by the composer, is proved by an interesting fact. We know from Ries that Beethoven originally wrote the finale of his ' Kreutzer ' sonata for the sonata in A major, Op. 30 No. 1, but that he found, on reflection, that it was too brilliant to be in keeping with the rest of that work, and that he subsequently replaced it by the variations which are published as the final movement 446. The oldest of the cyclic forms were the Suite and the Overture — the latter, of course, only when it contained more than one movement, as in many of Handel's overtures. The Suite has been described in Chapter III. (§§ 46-48), and the Overture in Chapter IX. (§ 361). From the suite was developed the most important of the modern cyclic forms, that used for the sonata, trio, quartett, and other chamber music, and in the orchestra for the symphony and the now nearly obsolete serenade. As the different kinds of works we have enumerated are all constructed on the same plan, there will be no occasion to treat them separately. The form taken as a whole is often conveniently, though loosely, spoken of as "classical form," from its general adoption by all the great masters of instrumental music from Haydn onwards. 447. We will first speak of such cyclic works as are in three movements — this being, as we have said, the typical form of which others are variations. With modern composers this form is almost entirely confined to chamber music written for two, or at most three instruments; in quartetts and symphonies the four-movement form is almost always employed, though symphonies in three movements are to be met with among the earlier works of Haydn. Mozart also shows considerable partiality for this form, no fewer than nineteen of his symphonies, among them some of his finest, containing only three movements. With piano sonatas down to the time of Beethoven the four- movement form was very rare. Haydn only uses it once in 34 sonatas, and ^Clementi only once in 64, while not one of 244 Applied Forms. [Chap. xn. Mozart's pianoforte sonatas has more than three movements." Even Beethoven, though many of his sonatas have four movements, has given us twelve with three, while of his piano and violin sonatas only three out of ten have a fourth movement. 448. For a cyclic work in three movements, by far the most frequent order is, that the first movement shall be an allegro in sonata form, with or without an introduction ; the second will be a slow movement of some kind (Andante, Larghetto, Largo, or Adagio), while the third and final move- ment will again be a quick movement, in the same key (or, at all events, with the same tonic,) as the first. There is in general far more variety in the form selected for the third than for the first movement. It may be in complete sonata form, in any of various rondo forms, in variation form, or even in ternary form. Which the composer may select will depend largely upon the character and form of the two preceding movements. To this general scheme numerous exceptions are to be found ; of these we shall speak presently. We shall first notice the form most frequently to be met with. 449. We have spoken above of this three-movement form as a development of the principles on which the ternary form is constructed (§ 444). We know that the episode which con- stitutes the second part of a ternary form is always in a different key from the first part. Similarly, the second movement of a cyclic form is in the overwhelming majority of works in a different key from the first. The exceptions are so rare that even a musician so well read as A. B. Marx says in his 'Com- position' (iii. 222,) that he does not know a single case. They are, nevertheless, to be found. In three of dementi's sonatas, those in D, Op. 39 No. 3, in B minor, Op. 40 No. 2, and the ' Didone abbandonata' in G minor, Op. 50 No. 3, all the three movements are in the same key. Other examples are seen in Mozart's beautiful Concertante Quartett in E flat, for four wind instruments with orchestra, in his Serenades in D for strings and kettle-drums, and in E flat for wind instruments, and in his Notturno in D for four orchestras, all of which works are in three movements, each in the tonic key. In Schubert's string quartett in E flat, Op. 125 No. 1, all four movements are in the same key. These examples simply prove that the rule is not without exception. 450. The choice of key for the second movement of a cyclic * The sonata in B flat in four movements contained in most editions of Mozart's sonatas, beginning is not an original work, but an arrangement by some unknown editor of movements from other compositions. chap, xii.] Cyclic Forms. 245 form is guided by the same considerations which influence us in the selection of a key for the episode in a simple ternary form. In an enormous majority of cases this second movement will be in a related key to that of the first, and a nearly related key is more often met with than one in the second degree of relationship. If the work be in a major key, the subdominant is most frequently chosen for the middle movement, as in Beethoven's sonata in G, Op. 31, No. 1 (Adagio in C major), arid Mozart's three sonatas in B flat, all of which have slow movements in E flat. The subdominant appears to be a preferable key, for the middle movement, to the dominant, because, if the work is regular in form, and the first movement has been in sonata form, the dominant will most likely have been chosen for the second subject of that movement, and will thus have had considerable prominence in the exposition. Nevertheless, many examples are to be found of a middle movement in the dominant key (Haydn, Sonata in E flat, No. 3, Beethoven, Sonata in D, Op. 12 No. 1, Piano Quintett in E flat, Op. 16, &c). 451. Of the nearly related minor keys, the one most usually chosen for the second movement of a work in a major key is the relative minor, and this is much less common with later than with earlier composers. It is frequently to be found in the works of Haydn and Mozart, but less often in those of Beethoven, e.g. in the slow movements of the Eroica symphony, the pianoforte concerto in G, Op. 58, and of the quartetts in F, Op. 18 No. 1, and C, Op. 59 No. 3.* We meet with two instances in the works of Schubert (the trio in E flat, Op. 100, and the great symphony in C), one in Mendelssohn (quartett in D, Op. 44 No. 1), and two in Schumann (the quintett, Op. 44, and the Concertstiick for four horns, Op. 86). 452. Much rarer is the employment of the mediant minor (the relative minor of the dominant). It is never once found in Beethoven, and only twice each in Mozart (fifth string quartett, and sonata in E flat for piano and violin), Schubert (sonata for four hands in B flat, and solo sonata in E flat, Op. 122), and Mendelssohn (quartett in E flat, Op. 12, and quintett in B flat, Op. 87). It is also once employed by Weber — for the slow movement of his sonata in A flat. Of the employment of the supertonic minor for a second movement we have found no instances, probably because its tonic would be dissonant to the tonic of the first movement. 453. It is by no means unusual to find the slow movement in a key which is in the second degree of relationship. Of * These quartetts, like several other of the instances to be quoted directly, have four movements ; but it will be seen later in this chapter that the prin- ciples guiding the selection of key for the slow movement are the same for works with four movements as for those with three. 246 Applied Forms. ichap. xii. these the tonic minor, as in Beethoven's sonata in A, Op. 12 No. 2, and his trio in D, Op. 70, No. 1, is probably the most common ; for the tonic minor is the nearest to the tonic major of all the keys in the second degree of relationship {Musical Form, § 87). The minor subdominant is less frequent ; an instance of its employment will be seen in the second move- ment of Mendelssohn's Italian symphony. The major keys of the major and minor mediant and submediant were all used by Haydn in his quartetts and symphonies, and many examples are to be seen in the works of Beethoven {e.g. in the piano sonatas Op. 2 No. 3, Op. 7, and the concertos in C major and E flat). With Mozart the employment of these keys was less frequent. 454. It is possible, though rarely advisable, to introduce the second movement in an unrelated key to the first. Probably the earliest instance of this is. to be found in a sonata by C. P. E. Bach. The key is G, and the slow movement is in F sharp minor. Haydn's sonata in E flat (No. 1) has the second movement in E major, and the same relationship will be seen in Brahms's sonata in F, Op. 99, for piano and violoncello, in which the slow movement is in F sharp major. Among other examples may be named the adagio in F sharp minor of Beet- hoven's sonata in B flat, Op. 106, and the andante of Schubert's sonata in B flat, which is in C sharp minor. 455. If a cyclic work be in a minor key, the second move- ment will, with extremely rare exceptions be in a major. In many cases the relative major is the key selected, as in Mozart's piano quartett in G minor, Beethoven's piano trio in C minor, Mendelssohn's trio in the same key, and Schubert's sonata in A minor, Op. 42. The submediant major, the next most nearly related key {Musical Form, § 82), is also frequently to be met with, as in Mozart's sonata in A minor, and Beethoven's sonatas in C minor, Op. 10 No. 1, and F minor, Op. 57. The tonic major, though seldom if ever employed by Mozart, is found as the key of the slow movements in three of Haydn's quartetts — those in F minor, Op. 20 No. 5, B minor, Op. 64 No. 2, and D minor, Op. 76 No, 2. It is also frequently used by Beethoven (sonata in A minor, Op. 23, quartett in E minor, Op. 59, No. 2, &c). Of the choice of the dominant major for the slow move- ment of a work in a minor key we can only recall one instance — Schubert's sonata in A minor, Op. 164, which has the second movement in E major. 456. As with works in major keys, so in those with minor, we occasionally find the second movement in an unrelated key. One of Emanuel Bach's sonatas in B minor has the slow move- ment in G minor. Haydn's quartett in G minor, Op. 74 No. 3, has the adagio in E major. The same relation of keys is noticeable in Mendelssohn's piano concerto in G minor, and in Chap, xii.] Cyclic Forms. 247 Beethoven's quartett in F minor, Op. 95, the second movement of which is in D major. Another example from Beethoven is seen in his concerto in C minor, of which the slow movement is in E major. As with works in a major key, the cases we have just quoted must be regarded as exceptional. 457. In the choice of the form for the second movement considerable variety is offered to the composer. Sometimes a slow movement is in full sonata form, as in Beethoven's sym- phonies in D and B flat, and in the sonata, Op. 106. This form, however, is seldom used except for works laid out on a large scale, and in four movements, though an example of its employment in a work in three movements may be seen in Mozart's so-called ' Strinasacchi sonata ' for piano and violin in B flat. More frequently however, the abridged sonata form is to be met with. This form was described in our ninth chapter, and we refer our readers to the analyses of slow movements which were there given (§§ 348-356). At other times the simple ternary form will be selected. Examples of such slow movements are given in Chapter X. of Musical Form. The variation form is also not infrequent for the middle movement (Mozart, Sonata in F for piano and violin, Beethoven, sonatas, Op. 14 No. 2, and Op. 57). Occasionally the older rondo form (Chapter VI.,) is met with, as in the slow movement of Dussek's very fine sonata in E flat, Op. 75, and in Mozart's sonata in the same key (No. 41) for piano and violin. Sometimes the middle movement consists merely of an introduction leading into the finale, as in Haydn's sonata in D, No. 7, and Beethoven's sonata, Op. 53. 458. We sometimes find the middle movement of a cyclic work in three movements in quick tempo, instead of slow. In Haydn's sonata in C sharp minor, No. 6, the second movement is an allegro con brio in A, and in six of his sonatas (Nos. 22, 23, 24, 28, 33, 34,) the place of the slow movement is taken by a minuet and trio. Similar examples will be seen in Beethoven's sonatas Op. 10 No. 2, and Op. 14 No. 1. It will mostly be found in such cases that the preceding movement is of a some- what quiet character ; but the composer must be guided by his feeling in the form that he may choose. This is a matter on which no definite rules are possible. 459. In the form of the finale of a work in three movements there is quite as much variety as in the middle movements. Perhaps on the whole either the older rondo or the rondo-sonata form is the most common, but the sonata form is often employed, as also is the variation form — e.g. in Mozart's sonata in D, No. 6, and Beethoven's sonata in A, Op. 30 No. 1. Haydn was very partial to the ternary form in his smaller works ; it is to be found in several of his sonatas and trios. 460. Before proceeding to speak of cyclic forms in two and four movements, a few words should be said as to the irregularities 248 Applied Forms. [Chap. xii. often to be met with in the arrangement of the movements. In the normal form the first movement will always be in regular sonata form, the second a slow movement of some kind, (or occasionally a minuet,) and the finale will be in one of the forms mentioned in the last paragraph. But to this regular plan many exceptions are to be found. Mozart's piano sonata in A major has the first movement in variation form, the second is a minuet and trio, and the finale is in ternary form (§ 212). The same composer's sonata in G for piano and violin (No. 35,) begins with a long introductory adagio, the first part of which has the form of an exposition of a sonata movement, while the second part is incomplete, and leads into an allegro in G minor in full sonata form ; the finale is an air with variations in G major. Again, Mozart's trio in E flat for piano, clarinet, and viola, has for its first movement an andante in sonata form, but without repeat of the exposition. This is followed by a minuet and trio in B flat, and the work concludes with the rondo which we analyzed in Chapter VI., §§ 208, 209. 461. It would be impossible to speak of half the varieties to be met with in these irregular cyclic forms ; we will conclude this part of our subject by referring to two well-known examples by Beethoven. The sonata in C sharp minor, Op. 27 No. 1 contains an adagio, an allegretto in the form of a minuet and trio, and a. presto in complete sonata form. It thus resembles, as we shall see presently, a regular four-movement sonata, with the first movement omitted. Had it been preceded by a first movement, the adagio would have been in some other key than C sharp minor. The other example is the sonata in E major, Op. 109. The first movement is a mixed form, combined from ternary and older rondo ; the "second movement {prestissimo,) is an irregular sonata form, and the finale is in variation form. 462. The two-movement form, as was said above (§ 444) is a contraction of the typical form by the omission of the middle movement. This form was a favourite with the older piano composers, — Haydn, Clementi, and Dussek ; curiously enough, Mozart never employed it for his sonatas for piano solo, though we find more than a dozen of his sonatas for piano and violin in only two movements. Beethoven also adopted it several times in his sonatas, some of his finest {e.g. Op. 90, in E minor, and Op. in, in C minor,) being in this form. We have met with no example of a later date than Beethoven, unless we reckon as coming under this category Mendelssohn's ' Serenade and Allegro giojoso' Op. 43 — in any case an exceedingly irregular piece, as the first movement is in B minor and the second in D major. 463. If a work be in two movements, it is mostly desirable that these should be contrasted in form. True, we sometimes find sonatas in which both movements are in regular sonata form, chap, xii.] Cyclic Forms. 249 as in two very fine examples by Dussek— the sonatas in D, Op. 9 No. 3, and E, Op. 10 No. 3 ; but far more frequently the forms are different. Thus, in Haydn's beautiful sonata in C, No. 16, the first movement is in double-variation form (§ 169), and the second is a rondo. In Dussek's sonata in G minor, Op. 10 No. 2, the first movement (Grave) is a large binary form of irregular construction, and the following allegro is in regular sonata form. In dementi's sonata in E flat, Op. 35 No. 2, the first movement is in very condensed (not abridged) sonata form (Lento), without repeat of the exposition, and the second move- ment (presto) is a regular sonata movement. In Mozart's sonata in E minor, for piano and violin, the first movement is in sonata form, and the second is a minuet and trio. In Haydn's sonata in G, No. 13, the first movement is in double-variation, and the second in simple ternary form. In Dussek's sonatas in G, Op. 35 No. 2, B flat, Op. 39 No. 3, and A major, Op. 43, and in Beethoven's sonata in E minor, the first movement is in sonata form, and the second is a rondo. In Mozart's sonata in A (No. 29,) for piano and violin, and in Beethoven's sonata in C minor, Op. in, the first movement is in sonata, and the second in variation form ; while in Beethoven's sonata in F, Op. 54, the first movement is a mixed and the second an indefinite form, as we saw in the last chapter. These examples (and many more might be given,) will sufficiently show the student what variety is possible in the two-movement form, which, it should be added, is seldom, if ever, found, except in sonatas. 464. The four-movement form, the most important of all, is an extension of the typical three-movement form by the addition of a second middle movement. The older composers, Haydn, Mozart, and their contemporaries, restricted the use of this form almost entirely to orchestral music, or to chamber music for several instruments (quartetts, &c). Beethoven was the first who frequently used it for solo sonatas, which, since his time, are quite as often written with four movements as with three. 465. In cyclic works (whether sonatas, trios, quartetts, or symphonies,) in four movements, if the form be regular, the two middle movements will almost invariably be a slow movement, and a minuet and trio, or scherzo. With extremely rare ex- ceptions, the slow movement will be in a different key from the first allegro, while in the large majority of cases the minuet or scherzo will have the same tonic as the first and last movements. The first movement will be in sonata form, and the finale either in the same form (as in Beethoven's symphony in C minor), or, more commonly, in one of the rondo forms, the rondo-sonata form being more frequently adopted by modern composers. If the variation form has not been already employed for the slow movement, it is sometimes used for the finale, as in Beethoven's quartett in E flat, Op. 74. Beethoven sometimes writes a fugue 250 Applied 1 -■ — ■=; m- m at the end of the first allesrro, of the scherzo, and of the finale, 252 Applied Forms. [Chap. XII. and further develops the second subject of his finale from the opening bars of his adagio. 471. In speaking just now (§ 469,) of Mendelssohn's quartett in E flat we referred to the reintroduction of the theme of the first allegro towards the end of the work. Other instances of the same manner of giving unity to the composition as a whole are to be seen in Beethoven's sonata in A, Op. 101, and in his sonata for piano and violoncello, in C, Op. 102 No. 1. In both these pieces the opening bars of the work recur just before the last allegro. In Mendelssohn's solo sonata for piano, in E, Op. 6, the theme of the first movement is heard, as in the quartett above spoken of, at the end, and not at the beginning, of the finale. 472. Another method of obtaining unity of style is, to write more than one movement on what is virtually the same subject, but in a modified form. Of this we saw an example in the last chapter in the Fantasie-Sonate of Raff (§ 440). One of the most interesting instances of this method is seen in Schubert's string quartett in E fiat, Op. 125 No. 1. In this work, not only are all the four movements in the same key (§ 449), but all are made from the same material, — the ascending scale of E flat. This will be clearly seen from the first bars of each movement, (a) A llcgro moderate. Schubert : Quartett in E flat, Op. 125, No. 1. (J) Allege Q h tt •v. . . , j. m-k^f ■*- &c «-J ~^- . . . 1 [ ' ' i~ s"" 1 473. Sometimes, though comparatively seldom, a cyclic work will contain more than four movements. In Raff's first symphony, entitled, ' An das Vaterland,' there are five movements — an allegro in D major, a scherzo in D minor, a larghetto in B flat, an allegro dramatico in G minor, and a finale consisting of a larghetto sostenuto in D minor leading into an allegro deciso trionfante in D major. We find examples in Schumann's works of pieces in more than four movements. His third symphony (in E flat), has a second slow movement preceding the finale. His ' Faschings- schwank aus Wien,' Op. 26, consists of an Allegro, a Romanze, chap, xii.] Cyclic Forms. 253 Scherzino, Intermezzo, and Finale. The allegro offers a rare instance of the employment of the old rondo form for a first movement ; the finale is in sonata form, and the three intermediate movements are in simple binary and ternary forms. A more recent example of a symphony in five movements is seen in Goldmark's 'Landliche Hochzeit' ('Rustic Wedding'). The work, though entitled a symphony, has little in common with the regular symphonic form, the five movements of which it consists being the following : 1. Wedding March : Variations ; 2. Bridal Song: Intermezzo; 3. Serenade: Scherzo; 4. 'In the Garden:' Andante ; 5. Dance : Finale. 474. Another cyclic form in which more than four movements are sometimes met with is the Modern Suite. This differs widely from the older Suite treated of in Chapter III., inasmuch as it is not necessary that all the movements should be in the same key, nor that they should all be dance forms, though such forms are frequently to be met with in them. The word ' Suite ' is, in fact, used very loosely by modern composers, and might be applied to almost any cyclic work other than a symphony or sonata. To show how different may be the component parts of two works both bearing the same name, we will give the list of movements in two examples. Bizet's 'Petite Suite d'Orchestre ' ('Jeux d'Enfants,') contains a March, a Berceuse, an Impromptu, a Duo, and a Galop, all of which are written in binary form. On the other hand, the ' Nordische Suite ' by the Danish composer Asger Hamerikj which has also five movements, consists of an Intro- duction and Scherzo, entitled ' Im Walde ' (In the Forest), a Volkslied, a Springtanz, a Minuet, and a Bridal March. In its modern acceptation, the word 'Suite' is as indefinite as ' Capriccio.' 475. The string quartett may be said to have been invented by Haydn, and the four-movement form which he adopted has been the model for all composers who have succeeded him. But it is an interesting fact that of his first twelve quartetts, Ops. 1 and 2, no fewer than eleven have five movements, while the twelfth (Op. 1 No. 5,) has only three. The additional movement in every case is a second minuet, the two minuets being always the second and fourth of the five movements. This renders highly probable the inference that the quartett form was developed from that of the Serenade, about which it will now be needful to say a few words. 476. The Serenade (Ital. = 'Serenata') was a somewhat indefinite cyclic form, which is described in detail in Jahn's 'Mozart' (Vol. I., pp. 306, sqq.). According to Jahn, it fre- quently commenced, and sometimes ended with a March ; a well- known example of this will be found in Beethoven's Serenade- Trio for strings, Op. 8. But a more distinctive feature was, that in the majority of cases, a minuet was introduced between every 254 Applied Forms. [Chap, xil Andante and Allegro. Here will be seen the resemblance to the early quartetts of Haydn spoken of in the last paragraph. In general the first movement (with or without an introductory March,) was in sonata form ; the last movement was an Allegro, or Presto ; and frequently two slow movements of different character were introduced, separated from one another and from the Allegro by Minuets. The result is that we sometimes find a serenade containing as many as eight movements. For instance Mozart's large Serenade in D, known as the ' Haffner Serenade,' begins with an introductory allegro maestoso, leading into an allegro molto, in regular sonata form ; to this succeeds an andante in G, with violin obligato; the third movement is a minuet in G minor, with a trio in G major. Next comes a long Rondo in G, of 453 bars. This, being a middle movement, is in the older rondo form ; the rondo-sonata form is seldom if ever found except as a final movement. The fifth movement is another minuet and trio in D, major and minor, and the sixth an andante in A major. A third minuet, with two trios follows, and the finale consists of an introductory adagio, and an allegro assai, again in sonata form, and of large development, the movement containing 474 bars. Other similar examples might be given ; but this one will suffice as an illustration. 477. The Cassation and Divertimento were similar in form to the Serenade, but differed from it in the fact that they were written for solo instruments, each string part being only played by one instrument, while the Serenade was for full orchestra. Beethoven's Trio in E fiat, Op. 3, for violin, viola, and violoncello, with its two slow movements and two minuets, is in its form a Divertimento, as also are his Septett, Op. 20, and Schubert's Octett. The choice and order of movements, both in the Serenade and the Divertimento, is left largely to the discretion of the composer. 478. Another important cyclic form is that of the Concerto. We spoke in § 370 of the old meaning of the word; we are now using it in its modern sense, as a work written for one (occasion- ally more than one) solo instrument with accompaniments for the orchestra. From the time of Bach down to a comparatively recent date, the concerto was always written in the three-move- ment form which we have spoken of (§ 444,) as the typical cyclic form. All the concertos of Bach, Mozart, Beethoven, Mendels- sohn and Schumann contain an allegro, a slow movement and a finale, which is mostly in rondo form. Of the double exposition of the first movement, as found in the works of Beethoven and Mozart, we spoke in detail in Chapter IX. (§§ 371-379). We have now to deal with the principal modifications of the concerto form introduced by modern composers. 479. It is rare to find a concerto with more than three move- ments. Perhaps the best known instance is Brahms's second chap, xii.] Cyclic Forms. 255 concerto for the piano, (in B flat, Op. 83,) which has been not inaptly described by an annotator as " a symphony with pianoforte obbligato," and which is quite symphonic in its form. Another ex- ample, though not quite parallel, will be seen in Scharwenka's concerto in B fiat minor, Op. 32. The first allegro of this work has a regular exposition in sonata form, but an adagio, 7 1 bars in length, takes the place of the free fantasia, and is followed by the recapitulation of the allegro. The second movement is a scherzo, and the finale is in a somewhat free sonata form. Tschaikowsky's concerto in B flat minor, Op. 23, has also four movements, the first allegro being preceded by an introductory andante, 106 bars long, in large binary form, and in the key of D flat major, though the tonality of B flat minor is suggested by the first two bars. The three movements that follow are in the usual form, though rather free in treatment 480. Much more frequent than the introduction of a fourth movement in a concerto, is the departure from the normal form described in § 478. Two of Max Bruch's violin concertos illus- trate this. In his first (Op. 26 in G minor,) the first movement is simply a prelude {Allegro moderato,) resembling an incomplete sonata form, and leading into an extended and very beautiful adagio. The finale is in sonata form. The same composer's second violin concerto (in D minor, Op. 44,) begins with an adagio ma non troppo, in sonata form ; but the second movement, entitled ' Recitative,' has no distinct form at all, and resembles a fantasia. The third movement begins in B flat, and ends in D major — a seeming irregularity, which, however, is justified on examination, as the first part of the movement, though in the same tempo as that which follows, is really only of the nature of an introduction, and connects the finale with the second movement, which ends with a half cadence in B flat. The proper first subject of this finale does not appear till the signature is changed to D major. 481. Even greater irregularities are to be met with in the piano concertos of Camille Saint-Saens. The first (in D major,) is tolerably regular, though the preceding of the first allegro by an introduction is unusual ; but the second, and best known of the four — that in G minor, Op. 22 — is very free in construction. The first movement is an andante sostenuto, in large binary form ; the second (allegro scherzando,) has the form of a sonata move- ment, and the character of a scherzo ; while the final presto is in free sonata form with the rhythmic figures of a Tarantella. 482. Saint-Saens' third Concerto (in E flat, Op. 29,) departs still more widely from the usual model in its first movement, which is a kind of free rhapsody on the opening subject — Moderato assai. 256 Applied Flrms. [Chap. XII. a theme strongly suggestive of the commencement of Schubert s great symphony in C. The whole movement is most irregular in form, the tempo being changed at least six times. In his fourth Concerto (in C minor) further irregularities are to be seen. Ine first movement begins with a theme followed by two variations, and continues with an andante in A flat, in which key it ends. The concerto contains only two movements; but the second includes an allegro vivace, an andante, and another allegro. The whole form is most irregular, and the material of this movement is mostly made from transformations, or 'metamorphoses of themes already heard in the preceding. 483. The concerto just spoken of appears to be modelled on those of Liszt, about which a few words must here be said. It is impossible to regard Liszt's works bearing that name as concertos in the ordinary acceptation of the term ; they are rather brilliant rhapsodies for piano and orchestra in which one or two chief themes are ingeniously metamorphosed, and interspersed with episodical matter of more or less importance. 484. A few words may be said in concluding this chapter on a form of which Liszt has left us several examples — the Symphonic Poem. These are a series of orchestral pieces written to illustrate a more or less definite programme. The order of their move- ments, &c, therefore depends upon the subject selected for illustration ; and hardly two are identical in this respect. But Liszt has endeavoured to secure artistic unity by presenting his principal subjects under different aspects,— in fact by the " meta- morphosis of themes " of which we have more than once spoken. As an illustration of his method, we quote the leading theme of the third Symphonic Poem, ' Les Preludes.' It first appears in the following simple form, in unison. Liszt : ' I,« rrfludes. (a) Andante. ** Shortly after, the tempo is changed, and the theme is heard in the bass with arpeggios above it. {b\ Andante maestoso. The two forms of the theme which we next find are somewhat more modified : {c) L'isttsso tempo. Chap. XII.] Cyclic Forms. (d) L'isttsso tempo. 2S7 The programme of the work is given in an extract from Lamartine's ' Meditations Poe"tiques ' ; and the passages last quoted are evi- dently designed to illustrate the words " Love forms the enchanted aurora of all existence." 485. The "storm which interrupts the first pleasures of happiness " is depicted in the two metamorphoses of the theme which next succeed — (a) Allegro, ma non troppo. {6) Allegro tempestuoso. &c. The author next speaks of the calm of a life in the country, as a rest for the soul tossed by tempests. Liszt illustrates this by a new change in the form of the theme. (f) Un poco pin moderate molto riten. ad lib. The call of duty to the field of battle gives one more transforma- tion of the subject. (d) Allegro marziale animato. These illustrations will sufficiently explain the composer's method, which may be best described as a free application and modifi- cation of the variation form treated of in Chapter V. of this volume. 258 Applied Fosms. tchap. xiii. CHAPTER XIII. ORGAN MUSIC. 486. Though no absolutely new forms are to be met with in organ music, it is of great importance that any one who attempts to write for the instrument should have some knowledge of its special peculiarities. It need hardly be added that for this purpose it is highly desirable that a composer thould have at least some practical acquaintance with the instrument ; without this it is almost impossible that he should write in the most effective manner. But inasmuch as even organists themselves appear sometimes when writing to overlook points of importance in the treatment of the instrument, it will be advisable to say something on this matter before v proceeding to speak of the forms of organ composition. 487. It would be beyond our scope, even had we the needful space, to enter into any detailed description of the mechanism of the organ. For such we must refer our readers to the standard works on the subject, e.g. the excellent volume by Hopkins and Rimbault. It will suffice to say here that the organ is an instrument with from one to four (or occasionally even five) keyboards, each of which, except as regards its compass, exactly resembles the keyboard of the piano. In modern organs the compass of each "manual" (as it is termed, because the keys Ul- are played by the hands), is from ss= •SJfc " ' u F G A or even C the last being rare, and mostly found on instruments designed for concert rather than for church use. Where an organ has two manuals, these will be the 'Great' and 'Swell,' the latter being so called because the pipes are enclosed in a box furnished with shutters which can be opened by a pedal moved by the foot of the player. If there are three manuals, the third is the 'Choir,'* while a fourth will be the 'Solo Organ'; this last is * The word " third " here does not refer to the position of the manuals, of which the choir is the lowest, the great next, the swell the third, and the solo, when there is one, the fourth. Chap, xiii.] Organ Music. 259 only met with on very large instruments. The most powerful ' stops ' (§ 488,) are placed upon the great organ, though the solo organ, when present usually contains some powerful reeds. In the extremely rare cases in which there is a fifth manual, this will be the ' Echo Organ.' 488. While, however, the compass of the manuals is only from four-and-a-half to (at the utmost) five octaves, this by no means represents the actual compass of the organ itself. Whereas on the pianoforte each key when pressed down gives only one sound, a large number of sounds, differing both in quality and in pitch, may be produced by the pressing of a single key on the organ. Each row of keys is furnished with " registers " (in England more commonly called "stops"), each of which has one pipe* in connection with each key. Each stop therefore gives a complete chromatic scale, of approximately the same quality of tone, for every note on the manual. 489. It was said just now that the various stops differ in pitch. In some of these, and the most important, the sound produced corresponds to the notation. Thus, when the lowest key is pressed down, the note heard is < e?~i — , exactly as it would be on the piano. As. an open pipe producing this sound is eight feet in length, any stop in which the notes produced are in unison with the notation is called an "eight-feet stop." If the pipes, instead of being open, are closed at the top, the effect of which is to lower their pitch by an octave, the C we have just given will be produced by a pipe only four feet in length; but as the pitch is the same as with an open pipe of eight feet, such a stop is said to be "of eight-feet tone." In other words, the term "eight-feet" is applied to all stops, whether the pipes be open or closed, which give sounds in unison with the notation. 490. The pitch of an organ pipe depends upon the length of the vibrating column of air within it. Every student of acoustics knows that if a string or air-column produce a certain sound, the half of that string or column will give a note an octave higher, the fourth two octaves higher, and so on. As the tone of the organ would be exceedingly dull were only unison stops employed, we always find, even in small instruments, stops of a higher pitch. An octave stop, that is, one in which every note sounds an octave higher than its notation, will evidently have its lowest pipe four feet long ; it is therefore called a " four- feet stop " ; while one that when the lowest key is pressed down gives the note (fy r = will, for a similar reason, be called a * In the " mixture '' stops to be presently described, there are often as many as four or five pipes to each key. 260 Applied Forms. tchap. xiu. " two-feet stop." It should be said here that, except occasionally for special solo effects, such stops are never used without the unison stops; they are simply employed to give more brightness to the unison tone by the reinforcement of the upper-partials. The unison tone should always predominate. 491. On all large modern organs will also be found stops sounding an octave lower than the notation. This is the con- verse case to that just noted. If the lowest pipe of a unison stop is eight feet long, it is evident that a pipe an octave lower in pitch must be sixteen feet long. A stop of this kind, generally called in England a "double" stop, is described as a "16-feet stop," if the pipes be open, and as "of 16-feet tone" if they be stopped. All the stops hitherto described, giving the unison, or the octaves, higher or lower, of the key pressed down, are called "foundation" stops. 492. In addition to the class of stops we have described, there are two others to be mentioned— those known as " muta- tion " and " compound " stops. By " mutation " stops are meant those which give some different note from that shown by the key pressed down. If, for instance, such a stop is drawn, and when the lowest key is put down we hear the sound H=*=E, which is a twelfth above the note sounded by the same key on the eight-feet stop, which is always taken as the standard from which others are reckoned, the stop is called the ' Twelfth,' and is a " mutation " stop. Such stops always give one of the upper partial tones of the unison (8-feet) stops, — generally the twelfth (the third note of the harmonic series), occasionally the major third (fifth note of the series). In large organs, when there is a 16-feet stop on the manual we sometimes find a Quint, or double-twelfth, giving the third upper partial of the 16-feet tone. 493. If two or more of these upper partial tones of the unison stops are acted upon by the same draw-stop, so that one cannot be sounded without the others, such a stop is called a " com- pound " stop. Unlike the mutation stops, the names of which generally indicate their pitch, the compound stops are mostly called by such indefinite names as Sesquialtera, Cornet, Mixture, Furniture, &c. It is extremely rare to find any but the consonant upper partials of the 8-feet tone (the major thirds, fifths, and octaves,) introduced in either mutation or compound stops. The object of both kinds of stops is to give additional brilliancy to the organ tone by the reinforcement of the various upper partials of the 16- and 8-feet tone; and it is the business of the organ- builder to voice these stops in such a manner as not to render these over-tones too prominent, otherwise the organ becomes what is known as ' screamy.' ch, ip . xin.] Organ Music. 261 494. There is another classification of organ stops, according to the manner in which their tone is produced. If the air in the pipe is set in vibration by blowing against a sharp edge, called the lip, the stop is said to be a " flue-stop " ; if the sound is ■produced by blowing against an elastic tongue called a 'reed,' the stop is a "reed-stop."* The large majority of stops in all organs are flue-stops ; but reeds are also to be found in all except very small instruments. 495. It was said in § 488 that the stops of an organ differed not only in pitch but in quality. The pitch of a note depends upon the length of the pipe, the quality upon its form. There is hardly any limit to the varieties of tone to be found in a very large organ ; but this is a matter into which it is impossible to enter here. The student, if he has not a practical knowledge of the instrument, must consult some good book on the subject, such as Hopkins and Rimbault's work, above referred to. 496. A very important feature of the organ, not yet men- tioned, is the Pedal Organ. The Pedals (as their name implies,) are keys to be played with the feet. They are arranged in the same way as the manual keys, but are much larger and broader, and, to avoid the risk of pressing two together by the foot, are separated from one another. On modern organs they have usually a compass of two octaves and a fourth, from gf=r= to & — < — ; but on many old organs, and on some modern continental ones, the upward limit of the pedal board is E, D, or even occasionally C. It must here be pointed out that the true pitch of the pedal organ is an octave lower than that noted, being really from ^5 , - to &tEf—- . On the manuals, as has been already said, the 8 -feet stops are the unison stops; on the pedals, on the other hand, 16-feet stops are the unison stops, and the 8-feet stops, where they are found, are reckoned as octave stops. A "double" stop on the pedal organ will be a 3 2 -feet stop; this is only to be met with on the very largest instruments. It is very important that the composer should bear this difference of pitch between manuals and pedals in mind, when writing for the organ, and if he wishes the pedal part to be played on 8-feet stops alone, he must expressly indicate this, as Mendelssohn has done in the first variation of his sixth organ sonata. '497. Though the keys of the pedal board are arranged in the same way as those of the manuals, it will be evident that many rapid passages that would be perfectly easy for the hands would * For an explanation of the production of the tone in flue-stops and reed- stops, see Sedley Taylor's "Sound and Music " (Macmillan & Co.). 262 Applied Forms. [Chap. xm. be quite impossible for the feet. But, as two notes lying near one another can' always be played with the same foot— one with the heel, and the other with the toe— more execution is possible, even on the pedals, than those unacquainted with the organ might imagine. The two following passages from Bach's organ works will show what is practicable. Bach : Organ Fugue in D major. These passages illustrate both the alternate use of the two feet and the employment of the heel and toe of the same foot. 498. Music for the organ is generally written on three staves — one for each hand, as for the piano, and a third for the pedals. In old English organ music, where the part for the pedals was unimportant, mostly consisting of a few long holding notes, this part was often written on the left-hand staff, but in modern music a separate line is always given to it. Sometimes, for the sake of clearness, it is expedient to use more than three staves. The following passage from Mendelssohn's organ sonata in F minor will illustrate this point Me ndelss ohn : 1st Organ Sonata.