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A Geometry of Music
Language: en
Pages: 469
Authors: Dmitri Tymoczko
Categories: Mathematics
Type: BOOK - Published: 2011-03-21 - Publisher: OUP USA

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In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities amon
The Geometry of Musical Rhythm
Language: en
Pages: 371
Authors: Godfried T. Toussaint
Categories: Mathematics
Type: BOOK - Published: 2019-11-25 - Publisher: CRC Press

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The original edition of The Geometry of Musical Rhythm was the first book to provide a systematic and accessible computational geometric analysis of the musical
The Geometry of Musical Rhythm
Language: en
Pages: 357
Authors: Godfried T. Toussaint
Categories: Mathematics
Type: BOOK - Published: 2016-04-19 - Publisher: CRC Press

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The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good? is the first book to provide a systematic and accessible computational geometric analysis of th
A New Geometry of Musical Chords in Interval Representation: Dissonance, Enrichment, Degeneracy and Complementation
Language: en
Pages: 124
Authors: Miguel Gutierrez; Makoto Taniguchi
Categories: Mathematics
Type: BOOK - Published: 2010-07-07 - Publisher: iUniverse

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This monograph covers a fresh and original look at musical chords. The idea emanates from the fact that an intervallic representation of the chord leads natural
Quadrivium
Language: en
Pages: 418
Authors: John Martineau
Categories: Mathematics
Type: BOOK - Published: 2020-08-08 - Publisher: eBook Partnership

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The Quadrivium consists of the four Liberal Arts of Number, Geometry, Music, and Cosmology, studied from antiquity to the Renaissance as a way of glimpsing the