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- Set_theory_(music) abstract "Musical set theory provides concepts for categorizing musical objects and describing their relationships. Many of the notions were first elaborated by Howard Hanson (1960) in connection with tonal music, and then mostly developed in connection with atonal music by theorists such as Allen Forte (1973), drawing on the work in twelve-tone theory of Milton Babbitt. The concepts of set theory are very general and can be applied to tonal and atonal styles in any equally tempered tuning system, and to some extent more generally than that. One branch of musical set theory deals with collections (sets and permutations) of pitches and pitch classes (pitch-class set theory), which may be ordered or unordered, and can be related by musical operations such as transposition, inversion, and complementation. The methods of musical set theory are sometimes applied to the analysis of rhythm as well.".
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- Set_theory_(music) wikiPageWikiLink Allen_Forte.
- Set_theory_(music) wikiPageWikiLink Atonality.
- Set_theory_(music) wikiPageWikiLink Category:Musical_set_theory.
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- Set_theory_(music) wikiPageWikiLink Index_(economics).
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- Set_theory_(music) wikiPageWikiLink Inversion_(music).
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- Set_theory_(music) wikiPageWikiLink Pitch_class.
- Set_theory_(music) wikiPageWikiLink Pitch_class_space.
- Set_theory_(music) wikiPageWikiLink Pitch_interval.
- Set_theory_(music) wikiPageWikiLink Reflection_(mathematics).
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- Set_theory_(music) wikiPageWikiLink File:Pitch_class_5-6_inversion_example.png.
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- Set_theory_(music) wikiPageWikiLinkText "#3-5".
- Set_theory_(music) wikiPageWikiLinkText "Musical set theory".
- Set_theory_(music) wikiPageWikiLinkText "Musical set-theory".
- Set_theory_(music) wikiPageWikiLinkText "Set theory (music)".
- Set_theory_(music) wikiPageWikiLinkText "Set_theory_(music)#Basic_operations".
- Set_theory_(music) wikiPageWikiLinkText "collection".
- Set_theory_(music) wikiPageWikiLinkText "musical contexts".
- Set_theory_(music) wikiPageWikiLinkText "musical set theory".
- Set_theory_(music) wikiPageWikiLinkText "pitch-class set theory".
- Set_theory_(music) wikiPageWikiLinkText "set classes".
- Set_theory_(music) wikiPageWikiLinkText "set theory notation".
- Set_theory_(music) wikiPageWikiLinkText "set theory".
- Set_theory_(music) wikiPageWikiLinkText "set".
- Set_theory_(music) wikiPageWikiLinkText "set-theoretic".
- Set_theory_(music) wikiPageWikiLinkText "sets".
- Set_theory_(music) wikiPageWikiLinkText "transpositional set class".
- Set_theory_(music) reference "Carter, Elliott. 2002. Harmony Book, edited by Nicholas Hopkins and John F. Link. New York: Carl Fischer. ISBN 0-8258-4594-7.".
- Set_theory_(music) reference "Cohen, Allen Laurence. 2004. Howard Hanson in Theory and Practice. Contributions to the Study of Music and Dance 66. Westport, Conn. and London: Praeger. ISBN 0-313-32135-3.".
- Set_theory_(music) reference "Cohn, Richard. 1992. "Transpositional Combination of Beat-Class Sets in Steve Reich's Phase-Shifting Music". Perspectives of New Music 30, no. 2 : 146–77.".
- Set_theory_(music) reference "Forte, Allen. 1973. The Structure of Atonal Music. New Haven and London: Yale University Press. ISBN 0-300-01610-7 ISBN 0-300-02120-8 .".
- Set_theory_(music) reference "Hanson, Howard. 1960. Harmonic Materials of Modern Music: Resources of the Tempered Scale. New York: Appleton-Century-Crofts, Inc.".
- Set_theory_(music) reference "Lewin, David. 1987. Generalized Musical Intervals and Transformations. New Haven: Yale University Press. ISBN 0-300-03493-8. Reprinted, New York: Oxford University Press, 2007. ISBN 978-0-19-531713-8.".
- Set_theory_(music) reference "Lewin, David. 1993. Musical Form and Transformation: Four Analytic Essays. New Haven: Yale University Press. ISBN 0-300-05686-9. Reprinted, with a foreword by Edward Gollin, New York: Oxford University Press, 2007. ISBN 978-0-19-531712-1.".