Authors: Fred Lerdahl
ISBN-13: 9780195178296, ISBN-10: 0195178297
Format: Paperback
Publisher: Oxford University Press, USA
Date Published: July 2004
Edition: New Edition
Columbia University
Building on the foundation of Lerdahl and Jackendoff's influential A Generative Theory of Tonal Music, this volume presents a multidimensional model of diatonic and chromatic spaces that quantifies listeners' intuitions of the relative distances of pitches, chords, and keys from a given tonic. The model is employed to assign prolongational structure, represent paths through the space, and compute patterns of tension and attraction as musical events unfold, thereby providing a partial basis for understanding musical narration, expectation, and expression. Conceived as both a music-theoretic treatise and a contribution to the cognitive science of music, this book will be of interest to music theorists, musicologists, composers, computer musicians, and cognitive psychologists.
1 | Theoretical foundations | 3 |
2 | Diatonic space | 41 |
3 | Paths in pitch space | 89 |
4 | Tonal tension and attraction | 142 |
5 | Prolongational functions | 193 |
6 | Chromatic tonal spaces | 249 |
7 | Prolongations in chromatic spaces | 298 |
8 | Atonal structures | 344 |