Tonal Pitch Space (Google eBook)

Front Cover
Oxford University Press, Jan 1, 2001 - 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

Contents
3
DIATONIC SPACE
41
PATHS IN PITCH SPACE
89
TONAL TENSION AND ATTRACTION
142
PROLONGATIONAL FUNCTIONS
193
CHROMATIC TONAL SPACES
249
PROLONGATIONS IN CHROMATIC SPACES
298
Analyses of nontriadic chromatic tonal music
321
ATONAL STRUCTURES
344
Atonal prolongations and functions
351
Prospects
380
Bibliography
393
Index
405
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Tonal Pitch Space
Fred Lerdahl
Limited preview - 2001
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