Show Summary Details
- Title Pages
- Dedication
- Foreword to the Oxford Edition
- Preface
- Acknowledgments
- Introduction
- 1 Mathematical Preliminaries
- 2 Generalized Interval Systems (1): Preliminary Examples and Definition
- 3 Generalized Interval Systems (2): Formal Features
- 4 Generalized Interval Systems (3): A Non-Commutative GIS; Some Timbral GIS Models
- 5 Generalized Set Theory (1):Interval Functions; Canonical Groups and Canonical Equivalence; Embedding Functions
- 6 Generalized Set Theory (2): The Injection Function
- 7 Transformation Graphs and Networks (1): Intervals and Transpositions
- 8 Transformation Graphs and Networks (2): Non-Intervallic Transformations
- 9 Transformation Graphs and Networks (3): Formalities
- 10 Transformation Graphs and Networks (4): Some Further Analyses
- Appendix A: Melodic and harmonic GIS Structures; Some Notes on the History of Tonal Theory
- Appendix B: Non-Commutative Octatonic GIS Structures; More on Simply Transitive Groups
- Index
(p.xxvii) Acknowledgments
(p.xxvii) Acknowledgments
- Source:
- Generalized Musical Intervals and Transformations
- Publisher:
- Oxford University Press
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- Title Pages
- Dedication
- Foreword to the Oxford Edition
- Preface
- Acknowledgments
- Introduction
- 1 Mathematical Preliminaries
- 2 Generalized Interval Systems (1): Preliminary Examples and Definition
- 3 Generalized Interval Systems (2): Formal Features
- 4 Generalized Interval Systems (3): A Non-Commutative GIS; Some Timbral GIS Models
- 5 Generalized Set Theory (1):Interval Functions; Canonical Groups and Canonical Equivalence; Embedding Functions
- 6 Generalized Set Theory (2): The Injection Function
- 7 Transformation Graphs and Networks (1): Intervals and Transpositions
- 8 Transformation Graphs and Networks (2): Non-Intervallic Transformations
- 9 Transformation Graphs and Networks (3): Formalities
- 10 Transformation Graphs and Networks (4): Some Further Analyses
- Appendix A: Melodic and harmonic GIS Structures; Some Notes on the History of Tonal Theory
- Appendix B: Non-Commutative Octatonic GIS Structures; More on Simply Transitive Groups
- Index
