Global Classification

Guerino Mazzola

doi:10.1007/978-3-319-64364-9_15

Global Classification

Guerino Mazzola

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

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.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	287-301
Number of pages	15
DOIs	https://doi.org/10.1007/978-3-319-64364-9_15
State	Published - 2017

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

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© 2017, Springer International Publishing AG, part of Springer Nature.

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10.1007/978-3-319-64364-9_15

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Global Classification

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