Generalized Musical Intervals and Transformations is by far the most significant contribution to the field of systematic music theory in the last half-century, generating the framework for the 'transformational theory' movement. INDICE: Foreword by Edward Gollin; 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
- ISBN: 978-0-19-975994-1
- Editorial: Oxford University
- Encuadernacion: Rústica
- Páginas: 288
- Fecha Publicación: 13/01/2011
- Nº Volúmenes: 1
- Idioma: Inglés