Orbits
Identifieur interne : 000902 ( Main/Exploration ); précédent : 000901; suivant : 000903Orbits
Auteurs : Guerino Mazzola [Suisse]Source :
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.
Url:
DOI: 10.1007/978-3-0348-8141-8_11
Affiliations:
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Le document en format XML
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