Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena
From musical chords to twin primes / Jack Douthett, David Clampitt & Norman Carey -- Hypercubes and the generalized Cohn cycle / Jack Douthett, Peter Steinbach & Rick Hermann -- Associahedra, combinatorial block designs and related structures / Franck Jedrezejewski -- Rythmic and melodic l-c...
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| Weitere Verfasser: | , |
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
New Jersey, London, Singapore, Beijing, Shanghai, Hong Kong, Taipei, Chennai, Tokyo
World Scientific
2019
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| Online Zugang: | Inhaltstext Inhaltsverzeichnis |
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Tag hinzufügen | Zusammenfassung: | From musical chords to twin primes / Jack Douthett, David Clampitt & Norman Carey -- Hypercubes and the generalized Cohn cycle / Jack Douthett, Peter Steinbach & Rick Hermann -- Associahedra, combinatorial block designs and related structures / Franck Jedrezejewski -- Rythmic and melodic l-canons / Jeremy Kastine -- The Fibonacci sequence es metric suspension in Luigi Nono's Il canto sospeso / Jon Kochavi -- Note samba : navigating notes and their meanings within modes and exo-modes / Thomas Noll -- Difference sets and all-directed-interval chords / Robert W. Peck -- Harmonious opposition / Richard Plotkin -- Orbifold path models for voice leading : dealing with doubling / James R. Hughes -- Remarks on the geometry of chords / Thomas A. Ivey -- Theoretical physics and category theory as tools for analysis of musical performance and composition / Maria Mannone -- Intuitive musical homotopy / Aditya Sivakumar & Dmitri Tymoczko -- Geometric generalizations of the Tonnetz and their relation to Fourier phases space / Jason Yust -- Deterministic geometries : a technique for the systematic generation of musical elements in composition / Brent A. Milam -- Flamenco music and its computational study / Francisco Gómez -- Examining fixed and relative similarity metrics through jazz melodies / David J. Baker & Daniel Shanahan -- In search of arcs of prototypicality / Daniel Shanahan |
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| Beschreibung: | Includes bibliographical references |
| Beschreibung: | xvii, 352 Seiten Illustrationen, Diagramme |
| ISBN: | 9789813235304 978-981-323-530-4 |