Melodic Variation by Arrows

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

Chapter Chapter 29 in The Topos of Music, 2002, pp 617-627 from Springer

Abstract: Summary The ideas of tangent objects described in section 7.5 are applied to define contrapuntal intervals as tangential “arrows” from the cantus firmus to the discantus tone. This formalism fits with the idea that the discantus is a kind of melodic variation around the cantus firmus line. The ring structure of the set of such arrows is discussed and motivated from the musical perspective.

Keywords: Dual Number; Tangent Object; Pitch Class; Music Object; Discrete Torus (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_29

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DOI: 10.1007/978-3-0348-8141-8_29

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