Graph theoretic aspects of music theory

T.A. Althuis, F. Göbel

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    Abstract

    The cycle on twelve points is a well-known representation of the twelve pitch classes of the traditional scale. We treat a more general situation where the number of pitch classes can be different from twelve and where, moreover, other measures of closeness are taken into account. We determine all situations for which the Generalized Hexachord Theorem continues to hold.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente, Faculty of Mathematical Sciences
    Number of pages6
    Publication statusPublished - 2001

    Publication series

    NameMemorandum / Department of Applied Mathematics
    PublisherUniversity of Twente, Faculty of Mathematical Sciences
    No.1573
    ISSN (Print)0169-2690

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    Keywords

    • IR-65760
    • EWI-3393
    • MSC-05C12
    • MSC-05C75
    • MSC-05C90

    Cite this

    Althuis, T. A., & Göbel, F. (2001). Graph theoretic aspects of music theory. (Memorandum / Department of Applied Mathematics; No. 1573). Enschede: University of Twente, Faculty of Mathematical Sciences.