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3 79 aidU A'0,3/Og BEETHOVEN'S TRANSCENDENCE OF THE ADDITIVE TENDENCY IN OPUS 34, OPUS 35, WERK OHNE OPUSZAHL 80, AND OPUS 120 DISSERTATION Presented to the Graduate Council of the University of North Texas in Partial Fulfillment of the Requirements For the Degree of DOCTOR OF PHILOSOPHY By Ernest J. Kramer, B.M., M.M. Denton, Texas December, 1989 OC.X Kramer, Ernest J., Beethoven's Transcendence of the Additive Tendency in Opus 34, Opus 35, Werk ohne Opuszahl 80, and Opus 120. Doctor of Philosophy (Music Theory), December 1989, 442 pp., 12 tables, 322 examples, bibliography, 82 titles. The internal unity of the themes in a sonata-allegro movement and the external unity of the movements in a sonata cycle are crucial elements of Beethoven's compositional aesthetic. Numerous theorists have explored these aspects in Beethoven's sonatas, symphonies, quartets, and concertos. Similar research into the independent variation sets for piano, excluding Opus 120, has been largely neglected as the result of three misconceptions: that the variation sets, many of which were based on popular melodies of Beethoven's time, are not as worthy of study as his other works; that the type of hidden internal relationships which pervade the sonata cycle are not relevant to the variation set since all variations are, by definition, related to the theme; and that variations were composed "additively," that is, one after another, without any particular regard for their order or relationship to one another. The purpose of this study is to refute all three of these incorrect assumptions. Beethoven was concerned with the order of variations and their relationship to one another, and he was able to transcend the additive tendency in a number of ways. Some of his methods included registral connection, registral expansion, rhythmic acceleration, textural expansion, dynamics, articulation, and motivic similarities. Chapter I contains a discussion of the role of the variation set in Beethoven's overall output. The teachers, composers, and works which may have influenced him are also discussed as well as his training in variation composition. Finally, those factors which Beethoven employed to unify his sets are listed and explained. Chapters II-V are devoted to detailed analyses of four striking variation sets: Opus 34, Opus 35, WoO 80, and Opus 120. Chapter VI presents a summary of the findings. It suggests that each of the sets investigated has a unique form and that each variation has a distinct place and purpose. Copyright by Ernest J. Kramer 1989 TABLE OF CONTENTS LIST OF TABLES v LIST OF ILLUSTRATIONS vi Chapter I. BEETHOVEN AND THE VARIATION SET 1 II. SIX VARIATIONS IN F MAJOR, OPUS 34 56 III. FIFTEEN VARIATIONS IN Eb MAJOR, OPUS 35 116 IV. THIRTY-TWO VARIATIONS IN C MINOR, WERK OHNE OPUSZAHL 80 197 V. THIRTY-THREE VARIATIONS IN C MAJOR, OPUS 120 298 VI. CONCLUSIONS 425 BIBLIOGRAPHY 437 IV LIST OF TABLES Table Page 1-1. Beethoven's independent variation sets for piano . 5 2-1. Opus 34, links and cross-references 112 3-1. Opus 35, the overall form and grouping 192 3-2. Opus 35, links and cross-references ....... 193 4-1. WoO 80, links and cross-references 292 5-1. Opus 120, sectional divisions suggested by previous analyses 301 5-2. Opus 120, sectional divisions suggested by the analysis presented in Chapter V 417 5-3. Opus 120, links and cross-references ....... 419 6-1. Opus 34, different structural levels 428 6-2. Opus 35, the various subgroups found in the first group (Introduction through Variation VII) 429 6-3. WoO 80, the overall structure 430 6-4. Opus 120, the overall structure 431 LIST OF ILLUSTRATIONS Example Page 1-1. Heinichen, a passage and its underlying structure 16 1-2. Opus 120, measure 1 of Variation XI and XII displaying the melodic turn motive 16 1-3. Opus 120, measure 1 of Variation IV and V displaying the rhythmic short-short-long motive 17 1-4. WoO 80, Variations I-III, measure 1 18 1-5. Opus 35, measure 1 of the Basso del Thema (1 voice), A_ due (2 voices), A_ tre (3 voices), A. quattro (4 voices), and the Thema (7 voices) 19 1-6. Opus 57, second movement, measure 1, 17, 33, 49, 71, displaying an upward registral expansion 20 1-7. Opus 35, measure 1 of the Basso del Thema, the Thema, Variation I, and Variation II displaying rhythmic acceleration 21 1-8. WoO 80. Measure 1 of Variations I and II displaying common articulation and touch . 22 1-9. Wolfgang Amadeus Mozart, Sonata in F, K. 332, movement I, measures 5-8 displaying two rhythmic strata 24 1-10. WoO 80, the link formed by the secondary rhythmic stratum in measure 6 of Variation V and the primary rhythmic stratum in measure 1 of Variation VI .... 24 1-11. WoO 80, measure 1 of Variations X and XI displaying an exchange of parts 25 1-12. WoO 80, measure 1 of Variations XV and XVI displaying the retention of one voice while another is varied 26 vi 1-13. WoO 80, measure 1 of Variations VII and VIII displaying the retention of one voice while another is replaced 26 1-14. WoO 80, measures 5-8 of the theme and 1-2 of Variation I displaying the registral connection of a to g 28 1-15. Opus 34, measure 6 of the theme and measure 2 of Variation I displaying invariance .... 29 1-16. Opus 35, measure 24 of Variation VI and measure 1 of Variation VII 30 1-17. Mozart, Ah, vous dirai-je, Maman, theme, measure 23; Variations I and II, measure 1 . 41 1-18. Mozart, Ah, vous dirai-je, Maman, measures 1-8 of Variations VIII and IX 43 1-19. Haydn, Arietta con Variationi in A major: (a) measure 16 of Variation VII and measure 1 of Variation VIII; (b) measures 15-16 of Variation VIII and measure 1 of Variation IX 47 1-20. Haydn, Arietta con Variationi in A major, a comparison of measures 11-16 of Variation XII and measures 1-3 of Variation XIII 48 1-21. Haydn, Arietta con Variationi in A major, measure 1-2 of Variations III and IV 49 2-1. A Schenkerian interpretation of key relationships in Opus 34 58 2-2. Opus 34, theme, measures 1 and 9 63 2-3. Opus 34, theme, measure 1; Variation I, measures 5-6; Variation VI, measures 57-59 . 64 2-4. Opus 34, Variation I, measures 3-6 65 2-5. Opus 34, the enharmonically-equivalent diminished seventh chords between variation pairs .... 66 2-6. Opus 34, theme, a metric reduction 67 2-7. Opus 34, the rhythmic motive in Variations II, IV, V, and VI 68 VII 2-8. Opus 34, theme, measure 4; Variation I, measures 7 and 12; Variation IV, measures 4 and 21-23; Variation VI, measures 3-4 ... 69 2-9. Opus 34, Variation VI, measure 13 70 2-10. Opus 34, the connection between measures 21-22 of the Thema and measure 1 of Variation I 71 2—11. Opus 34, Variation I, a metric reduction 73 2-12. Opus 34, Variation I, measures 1-2 and 15-16 ... 75 2-13. Opus 34, Variation I, measures 1-4 75 2-14. Opus 34, Variation I, the turn in measures 1-2 and 3 76 2-15. Opus 34, Variation I, measures 19-20 77 2-16. Opus 34, Variation I, measure 17 77 2-17. Opus 34, Variation I, measure 21 78 2-18. Opus 34, the connection of Variations I-IV by using d as a common-tone and as a leading-tone 79 2-19. Opus 34, measure 8 of Variation II and measure 7 of Variation III 79 2-20. Opus 34, Variation II, measures 1-2, 5-6, 15-16, and 19-20 80 2-21. Opus 34, Variation II, measures 9-14 82 2-22. Opus 34, Variation II, measures 6 and 20-21 ... 82 2-23. Opus 34, Variation III, measures 8-10 83 2-24. Opus 34, Variation III, measures 12-13 .84 2-25. Opus 34, Variation III, measure 4 84 2-26. Opus 34, the e^ link between Variations III and IV 85 2-27. Opus 34, the central position of Variation IV . 86 2-28. Opus 34, Variation IV, measures 1-4 .......87 viii 2-29. Opus 34, measures 1-2 of the Thema and Variation IV 88 2-30. Opus 34, Variation IV, measures 1-4 88 2-31. Opus 34, Variation IV, measures 19-22 89 2-32. Opus 34, Variation IV, measures 9-13 90 2-33. Opus 34, Variation IV, measures 15-22 91 2-34. Opus 34, Variation IV, a metric reduction .... 92 2-35. Opus 34, Variation V, measures 4 and 6 95 2-36. Opus 34, Variation V, measures 2 and 9 . .95 2-37. Opus 34, Variation V, measures 12-14 96 2-38. Opus 34, Variation V, measures 19-22 . 96 2-39. Opus 34, Variation V, measure 23-28 97 2-40. Opus 34, Variation V, a metric reduction 98 2-41. Opus 34, measures 1-2 of Variations V and VI . 100 2-42. Opus 34, a comparison of measure 2 of Variations II and VI 101 2-43. Opus 34, Variation VI, measures 12-13 102 2-44. Opus 34, Variation VI, measures 14-15 102 2-45. Opus 34, Variation VI, measures 17-18 102 2-46. Opus 34, Variation VI, a metric reduction .... 104 2-47.
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