Tonal Pitch Space

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More About This Book

Overview

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.

Product Details

  • ISBN-13: 9780195178296
  • Publisher: Oxford University Press
  • Publication date: 12/9/2004
  • Edition description: New Edition
  • Pages: 432
  • Product dimensions: 9.20 (w) x 6.10 (h) x 1.10 (d)

Table of Contents

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

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