Classification of Musical Objects for Analysis and Composition
This book presents and discusses the fundamental topic of classification of musical objects, such as chords, motifs, and gestures. Their classification deals with the exhibition of isomorphism classes. Our structure types include local and global constructions, the latter being similar to global str...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2023, 2023
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| Edition: | 1st ed. 2023 |
| Series: | Computational Music Science
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Part I Initial Orientation
- 1 The Basic Problem of Classification
- Part II General Formal Concepts
- 2 Ontology, Oniontology, and Creativity
- 3 Formal Representation of Musical Structures
- 4 Denotators over General Categories
- 5 Composition Denotators and Classification
- 6 Gestural Denotators: A First Overview
- 7 The Escher Theorem for Compositions and Gestures
- Part III Local Classification
- 8 Local Composition and Gesture Classification
- 9 Classification of Chords
- 10 Motif Classes
- 11 Third Chain Classes
- 12 Harmony through Third Chains
- 13 Counterpoint Worlds
- 14 Strong Interval Dichotomies
- 15 Microtonal Contrapuntal Theories
- 16 Dodecaphonic Rows
- Part IV Global Classification
- 17 Global Composition and Gesture Classification
- 18 The Classification Theorem for Global Compositions
- 19 The Classification Problem of Global Gestures
- 20 Singular Homology of Hypergestures
- 21 Local Gestures, Structures of Knots, and Local Gestures as Local Compositions
- Part V Classification and Creativity
- 22 Gestural Interpretation and Future Developments
- Part VI References, Index
- 23 Classification Lists