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Abstract Musical Intervals: Group Theory for Composition and Analysis

ByMing Tsao

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This book is an introduction to GIS (Generalized Interval Systems) theory that includes the major results of pitch-class theory. It provides mathematicians with applications of group theory to music and music theorists with the essential connections between GIS theory and pitch-class theory. Many of the results in pitch-class theory are not addressed by David Lewin (such as power functions or the Common Tone Theorem for inversions). The book states those results and generalizes them to conform with GIS theory. Finally, it addresses recent criticisms leveled at pitch-class theory and suggests how they can be addressed in GIS theory.

Details

Publication Date
Sep 10, 2007
Language
English
ISBN
9781430308355
Category
Art & Photography
Copyright
All Rights Reserved - Standard Copyright License
Contributors
By (author): Ming Tsao

Specifications

Pages
170
Binding
Paperback
Interior Color
Black & White
Dimensions
US Trade (6 x 9 in / 152 x 229 mm)

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