Exploring Musical Spaces
-10%
portes grátis
Exploring Musical Spaces
A Synthesis of Mathematical Approaches
Hook, Julian
Oxford University Press Inc
12/2022
682
Dura
Inglês
9780190246013
15 a 20 dias
1384
Descrição não disponível.
Preface
Acknowledgments
Part I Foundations of Mathematical Music Theory: Spaces, Sets, Graphs, and Groups
Chapter 1: Spaces I: Pitch and Pitch-Class Spaces
Chapter 2: Sets, Functions, and Relations
Chapter 3: Graphs
Chapter 4: Spaces II: Chordal, Tonal, and Serial Spaces
Chapter 5: Groups I: Interval Groups and Transformation Groups
Part II Transformation Theory: Intervals and Transformations, including Neo-Riemannian Theory
Chapter 6: Groups II: Permutations, Isomorphisms, and Other Topics in Group Theory
Chapter 7: Intervals
Chapter 8: Transformations I: Triadic Transformations
Chapter 9: Transformations II: Transformation Graphs and Networks; Serial Transformations
Part III Geometric Music Theory: The OPTIC Voice-Leading Spaces
Chapter 10: Spaces III: Introduction to Voice-Leading Spaces
Chapter 11: Spaces IV: The Geometry of OPTIC Spaces
Chapter 12: Distances
Part IV Theory of Scales: Diatonic and Beyond
Chapter 13: Scales I: Diatonic Spaces
Chapter 14: Scales II: Beyond the Diatonic
Appendix 1: List of Musical Spaces
Appendix 2: List of Sets and Groups
References
Acknowledgments
Part I Foundations of Mathematical Music Theory: Spaces, Sets, Graphs, and Groups
Chapter 1: Spaces I: Pitch and Pitch-Class Spaces
Chapter 2: Sets, Functions, and Relations
Chapter 3: Graphs
Chapter 4: Spaces II: Chordal, Tonal, and Serial Spaces
Chapter 5: Groups I: Interval Groups and Transformation Groups
Part II Transformation Theory: Intervals and Transformations, including Neo-Riemannian Theory
Chapter 6: Groups II: Permutations, Isomorphisms, and Other Topics in Group Theory
Chapter 7: Intervals
Chapter 8: Transformations I: Triadic Transformations
Chapter 9: Transformations II: Transformation Graphs and Networks; Serial Transformations
Part III Geometric Music Theory: The OPTIC Voice-Leading Spaces
Chapter 10: Spaces III: Introduction to Voice-Leading Spaces
Chapter 11: Spaces IV: The Geometry of OPTIC Spaces
Chapter 12: Distances
Part IV Theory of Scales: Diatonic and Beyond
Chapter 13: Scales I: Diatonic Spaces
Chapter 14: Scales II: Beyond the Diatonic
Appendix 1: List of Musical Spaces
Appendix 2: List of Sets and Groups
References
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Preface
Acknowledgments
Part I Foundations of Mathematical Music Theory: Spaces, Sets, Graphs, and Groups
Chapter 1: Spaces I: Pitch and Pitch-Class Spaces
Chapter 2: Sets, Functions, and Relations
Chapter 3: Graphs
Chapter 4: Spaces II: Chordal, Tonal, and Serial Spaces
Chapter 5: Groups I: Interval Groups and Transformation Groups
Part II Transformation Theory: Intervals and Transformations, including Neo-Riemannian Theory
Chapter 6: Groups II: Permutations, Isomorphisms, and Other Topics in Group Theory
Chapter 7: Intervals
Chapter 8: Transformations I: Triadic Transformations
Chapter 9: Transformations II: Transformation Graphs and Networks; Serial Transformations
Part III Geometric Music Theory: The OPTIC Voice-Leading Spaces
Chapter 10: Spaces III: Introduction to Voice-Leading Spaces
Chapter 11: Spaces IV: The Geometry of OPTIC Spaces
Chapter 12: Distances
Part IV Theory of Scales: Diatonic and Beyond
Chapter 13: Scales I: Diatonic Spaces
Chapter 14: Scales II: Beyond the Diatonic
Appendix 1: List of Musical Spaces
Appendix 2: List of Sets and Groups
References
Acknowledgments
Part I Foundations of Mathematical Music Theory: Spaces, Sets, Graphs, and Groups
Chapter 1: Spaces I: Pitch and Pitch-Class Spaces
Chapter 2: Sets, Functions, and Relations
Chapter 3: Graphs
Chapter 4: Spaces II: Chordal, Tonal, and Serial Spaces
Chapter 5: Groups I: Interval Groups and Transformation Groups
Part II Transformation Theory: Intervals and Transformations, including Neo-Riemannian Theory
Chapter 6: Groups II: Permutations, Isomorphisms, and Other Topics in Group Theory
Chapter 7: Intervals
Chapter 8: Transformations I: Triadic Transformations
Chapter 9: Transformations II: Transformation Graphs and Networks; Serial Transformations
Part III Geometric Music Theory: The OPTIC Voice-Leading Spaces
Chapter 10: Spaces III: Introduction to Voice-Leading Spaces
Chapter 11: Spaces IV: The Geometry of OPTIC Spaces
Chapter 12: Distances
Part IV Theory of Scales: Diatonic and Beyond
Chapter 13: Scales I: Diatonic Spaces
Chapter 14: Scales II: Beyond the Diatonic
Appendix 1: List of Musical Spaces
Appendix 2: List of Sets and Groups
References
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
