Exploring musical spaces : a synthesis of mathematical approaches / Julian Hook.
Author/creator |
Hook, Julian |
Other author/creator | Oxford University Press. |
Format | Electronic and Book |
Publication Info | New York, NY : Oxford University Press, [2023] |
Description | xviii, 662 pages : illustrations, music ; 26 cm. |
Supplemental Content | Full text available from Oxford Scholarship Online Music |
Supplemental Content | Full text available from Oxford Scholarship Online |
Subject(s) |
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Series | Oxford studies in music theory Oxford studies in music theory. |
Contents | 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. |
Bibliography note | Includes bibliographical references (pages 631-642) and index. |
Access restriction | Available only to authorized users. |
Technical details | Mode of access: World Wide Web |
Genre/form | Electronic books. |
LCCN | 2021560280 |
ISBN | 0190246014 |
ISBN | 9780190246013 |
Available Items
Library | Location | Call Number | Status | Item Actions | |
Electronic Resources | View Online Content | ✔ Available |