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Abstract Musical Intervals: Group Theory for Composition and Analysis - Softcover

Tsao, Ming

 
9781430308355: Abstract Musical Intervals: Group Theory for Composition and Analysis
Softcover
ISBN 10: 1430308354 ISBN 13: 9781430308355
Publisher: Musurgia Universalis Press, 2007

Synopsis

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.

"synopsis" may belong to another edition of this title.

Publisher
Musurgia Universalis Press
Publication date
2007
Language
English
ISBN 10 
1430308354
ISBN 13 
9781430308355
Binding
Paperback
Number of pages
170