Tonal Pitch Space pdf epub mobi txt 电子书 下载 2025
1 Theoretical Foundations
2 Diatonic Space
3 Paths in Pitch Space
4 Tonal Tension and Attraction
5 Prolongationl Functions
6 Chromatic Tonal Spacesm
7 Prolongations in Chromatic Spaces
8 Atonal Structures
- 音乐
- tone
- music
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.
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