The structure of atonal music

CONTENIDO:

Preface

Part 1: Pitch-Class Sets and Relations
Pitch combinations
Pitch-Class sets
Normal order; the prime forms
Transpositionally equivalent pc sets
Inversionally equivalent pc sets
The list of prime forms; set names
Intervals of a pc set; the interval vector
Some properties of interval vector
Cardinal number and interval content
Non-equivalent pc sets with identical vectors
The subsets of a pc set
Invariant subsets under transposition
Invariant subsets under inversion
Similarity relations
Order relations
The complement of a pc set
Segmentation

Part 2: Pitch-Class Set Complexes
Introduction
The set complex K
The subcomplex Kh
Set-Complex sizes
The closure property
Invariance within the set complex
Similarity relations within the set complex
Set-Complex structures of small scale
Set-Complex structures of larger scale

Appendix:
1- Prime Forms and Vectors of Pitch-Class Sets
2- Similarity Relations
3- The Subcomplexes Kh
Glossary of Technical Terms
References
Index