Global Classification

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

Chapter Chapter 15 in The Topos of Music, 2002, pp 349-367 from Springer

Abstract: Summary Global classification relies on two concepts: affine functions and resolutions of global compositions. These constructs are discussed and exemplified. We derive classifying spaces and compare them to the situation in the Dreiding-Dress-Haegi theory of molecules: The latter are deduced from global compositions by additional structures concerning orientation, distances and angles (bilinear and exterior forms). It is therefore possible to view “molecules” as being global compositions with additional constraints; their musical meaning is discussed.

Keywords: Ambient Space; Global Section; Module Complex; Affine Function; Local Composition (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_15

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DOI: 10.1007/978-3-0348-8141-8_15

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