| Description |
ix, 224 pages : illustrations, music ; 26cm |
| Contents |
Preface -- Part 1: Pitch-class sets and relations -- 1:0 Pitch combinations -- 1:1 Pitch-class sets -- 1:2 Normal order ; the prime forms -- 1:3 Transpositionally equivalent pc sets -- 1:4 Inversionally equivalent pc sets -- 1:5 The list of prime forms; set names -- 1:6 Intervals of a pc set ; the interval vector -- 1:7 Some properties of interval vectors -- 1:8 Cardinal number and interval content -- 1:9 Non-equivalent pc sets with identical vectors -- 1:10 The subsets of a pc set -- 1:11 Invariant subsets under transposition -- 1:12 Invariant subsets under inversion -- 1:13 Similarity relations -- 1:14 Order relations -- 1:15 The complement of a pc set -- 1:16 Segmentation -- Part 2: Pitch-class Sct complexes -- 2:0 Introduction -- 2:1 The set complex K -- 2:2 The subcomplex Kh -- 2:3 Set-complex sizes -- 2:4 The closure property -- 2:5 Invariance within the set complex -- 2:6 Similarity relations within the set complex -- 2:7 Set-complex structures of small scale -- 2:8 Set-complex structures of larger scale -- Appendix 1. Prime forms and vectors of pitch-class sets -- Appendix 2. Similarity relations -- Appendix 3. The subcomplexes Kh -- Glossary of technical terms -- References -- Index 1. Musical examples -- Index 2. Pc sets in musical examples -- Index 3. General index |
| Summary |
Describes and cites examples of pitch-class sets and relations in atonal music |
| Notes |
Includes index |
| Bibliography |
Bibliography: page 213 |
| Subject |
Atonality.
|
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Music -- 20th century -- History and criticism.
|
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Music -- 20th century.
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Musical pitch.
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Tonality.
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| LC no. |
72091295 |
| ISBN |
0300016107 |
|
0300021208 (paperback) |
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