Global Classification

  • Guerino Mazzola
Part of the Computational Music Science book series (CMS)


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.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Guerino Mazzola
    • 1
  1. 1.School of MusicUniversity of MinnesotaMinneapolisUSA

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