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Detailed Table of Contents

This preserves the complete structure from the original, including all subsections.


Front Matter

  • Introduction to the English Translation — p. 5
  • Preface — p. 7

Part I: Rhythm (Chapters I–VII)

Chapter I — The Charm of Impossibilities and the Relation of the Different Subject Matters — p. 13

Chapter II — Rāgavardhana, Hindu Rhythm — p. 14

  1. Ametrical Music — p. 14
  2. Rāgavardhana — p. 14

Chapter III — Rhythms with Added Values — p. 16

  1. Added Value — p. 16
  2. Use of the Added Value — p. 16
  3. Rhythmic Preparations and Descents — p. 17
  4. Relation to Added Notes — p. 17

Chapter IV — Augmented or Diminished Rhythms and Table of These Rhythms — p. 18

  1. Augmented or Diminished Rhythms — p. 18
  2. Addition and Withdrawal of the Dot — p. 18
  3. A Table of Some Forms of Augmentation or Diminution of a Rhythm — p. 18
  4. Inexact Augmentations — p. 19

Chapter V — Nonretrogradable Rhythms — p. 20

  1. Retrograde Rhythms — p. 20
  2. Nonretrogradable Rhythms — p. 20
  3. Relation of Nonretrogradable Rhythms and Modes of Limited Transpositions — p. 21

Chapter VI — Polyrhythm and Rhythmic Pedals — p. 22

  1. Superposition of Rhythms of Unequal Length — p. 22
  2. Superposition of a Rhythm upon Its Different Forms of Augmentation and Diminution — p. 23
  3. Superposition of a Rhythm upon Its Retrograde — p. 23
  4. Rhythmic Canons — p. 24
  5. Canon by the Addition of the Dot — p. 25
  6. Canon of Nonretrogradable Rhythms — p. 26
  7. Rhythmic Pedal — p. 26

Chapter VII — Rhythmic Notations — p. 28

  1. First Notation — p. 28
  2. Second Notation — p. 28
  3. Third Notation — p. 28
  4. Fourth Notation — p. 29
  5. Some Metrical Rhythms — p. 30

Part II: Melody (Chapters VIII–XII)

Chapter VIII — Melody and Melodic Contours — p. 31

  1. Intervals — p. 31
  2. Melodic Contours — p. 31
  3. Folk Songs — p. 32
  4. Plainchant — p. 33
  5. Hindu Ragas — p. 33

Chapter IX — Bird Song — p. 34

Chapter X — Melodic Development — p. 35

  1. Elimination — p. 35
  2. Interversion of Notes — p. 35
  3. Change of Register — p. 36

Chapter XI — Song-Sentence, Binary and Ternary Sentences — p. 37

  1. Song-Sentence — p. 37
  2. Commentary — p. 38
  3. Binary Sentence — p. 38
  4. Ternary Sentence — p. 38
  5. List of Melodic Periods — p. 39

Chapter XII — Fugue, Sonata, Plainchant Forms — p. 40

  1. Fugue — p. 40
  2. Sonata — p. 40
  3. Development of Three Themes, Preparing a Final Issued from the First — p. 41
  4. Variations of the First Theme, Separated by Developments of the Second — p. 42
  5. Plainchant Forms — p. 44
  6. Psalmody and Vocalise — p. 45
  7. Kyrie — p. 45
  8. Sequence — p. 46

Part III: Harmony (Chapters XIII–XIX)

Chapter XIII — Harmony, Debussy, Added Notes — p. 47

  1. Added Notes — p. 47
  2. Added Sixth and Added Augmented Fourth — p. 47
  3. Relation of Added Notes and Added Values — p. 48
  4. Use of Added Notes — p. 48

Chapter XIV — Special Chords, Clusters of Chords, and a List of Connections of Chords — p. 50

  1. The Chord on the Dominant — p. 50
  2. The Chord of Resonance — p. 50
  3. The Chord in Fourths — p. 50
  4. Effects of Resonance — p. 51
  5. Clusters of Chords — p. 51
  6. A Look at Other Styles — p. 52
  7. Natural Harmony — p. 52
  8. A List of Connections of Chords — p. 53

Chapter XV — Enlargement of Foreign Notes, Upbeats and Terminations — p. 55

  1. The Pedal Group — p. 55
  2. The Passing Group — p. 56
  3. The Embellishment Group — p. 56
  4. Upbeats and Terminations — p. 56

Chapter XVI — Modes of Limited Transpositions — p. 58

  1. Theory of the Modes of Limited Transpositions — p. 58
  2. First Mode of Limited Transpositions — p. 59
  3. Second Mode of Limited Transpositions — p. 59
  4. Third Mode of Limited Transpositions — p. 60
  5. Modes 4, 5, 6, and 7 — p. 61
  6. Relation of Modes of Limited Transpositions and Nonretrogradable Rhythms — p. 62

Chapter XVII — Modulations of These Modes and Their Relation to the Major Tonality — p. 64

  1. Relation to the Major Tonality — p. 64
  2. Modulation of a Mode to Itself — p. 65
  3. Modulation of a Mode to Another Mode — p. 65

Chapter XVIII — Relation of These Modes to Modal, Atonal, Polytonal, and Quarter-Tone Music — p. 67

Chapter XIX — Polymodality — p. 68

  1. Two Superposed Modes — p. 68
  2. Three Modes Superposed — p. 69
  3. Polymodal Modulation — p. 69

Appendix

  • Catalogue of Works — p. 71