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Guerino Mazzola ()
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Guerino Mazzola: University of Zurich, Department of Information Technology MultiMedia Laboratory

Chapter Chapter 11 in The Topos of Music, 2002, pp 203-273 from Springer

Abstract: Summary This chapter deals with groups of symmetries, their action and orbits as musicological and mathematical concepts. Elementary local compositions—chords, self-addressed chords, and motives are classified under group actions. Enumeration theory of orbits of local compositions in finite ℤ-modules including traditional pitch class sets and motives—is presented and discussed for its implications towards a “Big Science” in music. Follows a discussion of group-theoretical methods in composition and theory, including a review of the American tradition and recent developments.

Keywords: Conjugacy Class; Isomorphism Class; Ambient Space; Local Composition; Cycle Index (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-8141-8_11

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DOI: 10.1007/978-3-0348-8141-8_11

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