[PDF.86qg] Abstract Musical Intervals: Group Theory for Composition and Analysis

Abstract Musical Intervals: Group Theory for Composition and Analysis

[PDF.ci69] Abstract Musical Intervals: Group Theory for Composition and Analysis

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 | #2548383 in Books |  Musurgia Universalis Press |  2010-03-30 | Original language:English | PDF # 1 |  9.00 x.43 x6.00l,.57 | File type: PDF | 170 pages

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||8 of 8 people found the following review helpful.| A useful framework for applying generalized interval analysis|By James T. Smith|Today, music theory employs sophisticated mathematical methods, especially as introduced in David Lewin's 1987 book, Generalized Musical Intervals and Transformations. Many more recent studies extend its results to apply to new areas of musical analysis. Studying those works, Ming Tsao realized th

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 gene...

You easily download any file type for your gadget.Abstract Musical Intervals: Group Theory for Composition and Analysis   |  Ming Tsao. I really enjoyed this book and have already told so many people about it!

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