The Structure of Atonal Music"For some years now, a group of American composers and theorists including Babbitt, Teitelbaum, Martino, and Lewin, have been elaborating mathematically based procedures for the analysis of pitch structures in atonal music. In this book, Allen Forte expands the results of their work into a comprehensive theoretical survey illustrated with examples from a wide range of composers."--Times Higher Education Supplement "An attempt to 'provide a general theoretical framework' for the description and analysis of musical pitch-structures that resist interpretation in terms of conventional tonal or 12-note serial systems.... Not the least achievement of this book may be to establish the limits for a positive meaning for atonality.... Forte always moves forward with elegant clarity, explaining even quite conventional terms and illustrating his points with directness and care."--The Musical Times |
Contents
3833 | 69 |
PitchClass Set Complexes | 93 |
Prime Forms and Vectors of PitchClass Sets | 179 |
The Subcomplexes | 200 |
Glossary of Technical Terms | 209 |
| 215 | |
General Index | 223 |
Common terms and phrases
4-element sets associated atonal music Berg Boosey & Hawkes Canada cardinal number chord circular permutation common subset complement relation complete invariance complex components composite segment Copyright by Universal correspondence discussed dyad Edition Russe elements followed by transposition granted by Theodore hexachords indicated instance interval class interval content interval succession interval vector invariant subset inversion followed inversionally equivalent Kh Kh Kh measure melodic Mexico nexus set normal order notation number of bips occurs order inversions pair pattern pc integers pc set Permission granted Piano Pieces for Orchestra pitch pitch-class prime form R₁ R₂ relation Rp Reprinted by permission Rite of Spring Rp Rp Russe de Musique Schoenberg set-complex relations set-complex structure sets of cardinal shown in example significant similarity relations sole representative stratum Stravinsky tetrachord Theodore Presser Company tion transitive tuples transposed transpositionally equivalent Universal Edition upper voice vertical Webern Wozzeck Z-related Δ Δ Δ