Tonal Pitch Space

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Oxford University Press, Dec 9, 2004 - Music - 432 pages
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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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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
Rule Index
383
Bibliography
393
Index
405
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Tonal Pitch Space
Fred Lerdahl
Limited preview - 2004
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