Modeling Counterpoint by Local Symmetries

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

Chapter Chapter 31 in The Topos of Music, 2002, pp 645-659 from Springer

Abstract: Summary This chapter presents the counterpoint model in form of a counterpoint theorem which guarantees the existence and exhibits an arsenal of admitted contrapuntal steps that come in extremely close to the rules of classical counterpoint. The theorem is based on the concept of a contrapuntal symmetry and follows the paradigm of local symmetries as a rationale for forces in physics. Because of its generic concept framework, the theorem, which in this general form’ was proved by Jens Hichert [223], is also valid for non-European scales. We discuss these extensions.

Keywords: Local Symmetry; Strong Dichotomy; Successor Interval; Dichotomy Class; Commutativity Condition (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_31

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DOI: 10.1007/978-3-0348-8141-8_31

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