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Exploring musical spaces : a synthesis of mathematical approaches
- Author / Creator
- Available as
- Online
- Physical
Details
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- Creator
- Julian Hook
- Format
- Books
- Language
- English
- Publication
-
- New York, NY : Oxford University Press, [2023]
- ©2023
- Physical Details
-
- xviii, 662 pages : illustrations, music ; 26 cm
- ISBNs
- 0197577253, 9780190246037, 0190246030, 9780190246020, 0190246022, 9780197577257, 9780190246013, 0190246014
- OCLC
- on1353219385, on1273075672, on1350426025
- Includes bibliographical references (pages 631-642) and index.
- Foundations of mathematical music theory : spaces, sets, graphs, and groups. Spaces I : pitch and pitch-class spaces -- Sets, functions, and relations -- Graphs -- Spaces II : chordal, tonal, and serial spaces -- Groups I : interval groups and transformation groups -- Transformation theory : intervals and transformations, including neo-Riemannian theory. Groups II : permutations, isomorphisms, and other topics in group theory -- Intervals -- Transformations I : triadic transformations -- Transformations II : transformation graphs and networks ; Serial transformations -- Geometric music theory : the OPTIC voice-leading spaces. Spaces III : introduction to voice-leading spaces -- Spaces IV : the geometry of OPTIC spaces -- Distances -- Theory of scales : diatonic and beyond. Scales I : diatonic spaces -- Scales II : beyond the diatonic -- Appendix 1. List of musical spaces -- Appendix 2. List of sets and groups