Abstract Musical Intervals: Group Theory for Composition and Analysis

• Authors: Ming - Ming Tsao - TSAO
• ISBN 10: 1430308354
• ISBN 13: 9781430308355
• Release: March 30, 2010
• Format: Paperback (170 pages)
• List Price: $24.95
• More Details
  
  

  List Price: $24.95

  Tags: Arts & Photography, General,

  Book Description:
  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.

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