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by Ming Tsao
Download Abstract Musical Intervals: Group Theory for Composition and Analysis fb2
Music
  • Author:
    Ming Tsao
  • ISBN:
    1430308354
  • ISBN13:
    978-1430308355
  • Genre:
  • Publisher:
    Musurgia Universalis Press (March 30, 2010)
  • Pages:
    170 pages
  • Subcategory:
    Music
  • Language:
  • FB2 format
    1534 kb
  • ePUB format
    1230 kb
  • DJVU format
    1580 kb
  • Rating:
    4.8
  • Votes:
    996
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It provides mathematicians with applications of group theory to music and music theorists with the essential connections between GIS theory . The book states those results and generalizes them to conform with GIS 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).

Abstract Musical Intervals book. It provides mathematicians with applications of group theory to music and music theorists with the essential connections betw.

Ming Tsao (b. Berkeley, CA) is Professor of Composition at Göteborg University and holds a PhD in Music . Books by Ming Tsao include Abstract Musical Intervals: Group Theory for Composition and Analysis. Berkeley, CA) is Professor of Composition at Göteborg University and holds a PhD in Music Composition from the University of California, San Diego, an MA in Mathematics from the San Francisco State University, an MA in Ethnomusicology from Columbia University and a BM in Music Composition from the Berklee College of Music. Further studies have included logic and philosophy at the University of California, Berkeley.

oceedings{, title {Interval Scale as Group Generators}, author {Tsubasa Tanaka and Kiyoshi . Abstract Musical Intervals: Group Theory for Composition and Analysis.

oceedings{, title {Interval Scale as Group Generators}, author {Tsubasa Tanaka and Kiyoshi Furukawa}, booktitle {ICMC}, year {2014} }. Tsubasa Tanaka, Kiyoshi Furukawa. Published in ICMC 2014. Unlike an ordinary scale, this concept restricts usable intervals and doesn’t restrict pitch classes directly.

Books by Ming Tsao include Abstract Musical Intervals: Group Theory for Composition and Analysis

Books by Ming Tsao include Abstract Musical Intervals: Group Theory for Composition and Analysis. He is currently composing a large-scale opera Mudan ting that draws connections between German opera from the early 20th century and Chinese Kunqu opera from the Ming Dynasty and explores ways in which ideas of invention and progress can live alongside ideas of traditional refinement, cultivation and a respect for nature.

Set Theory Calculator", JayTomlin.

Abstract Musical Intervals: Group Theory for Composition and Analysis, . 9, . 2. Algorithms given in Morris, Robert (1991). Class Notes for Atonal Music Theory, . 03. Set Theory Calculator", JayTomlin. Calculates normal form, prime form, Forte number, and interval class vector for a given set and vice versa.

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This focus explains the why of musical construction more clearly than the traditional approach of beginning with chords. By starting with a single melodic line and gradually adding voices in counterpoint, the book drills part-writing while simultaneously explaining functionality, first with scale degrees and then with harmony.

Abstract Musical Intervals: Group Theory for Composition and Analysis. This book is an introduction to GIS (Generalized Interval Systems) theory that includes the major results of pitch-class theory. 3. Music and Mathematics

Analyzing Atonal Music: Pitch-Class Set Theory and Its Contexts. Abstract Musical Intervals: Group Theory for Composition and Analysis, .

Analyzing Atonal Music: Pitch-Class Set Theory and Its Contexts. Reprinted 1987 (New York: Schirmer Books; London: Collier Macmillan, 1980), . 7.

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.