Graph theoretic aspects of music theory

T.A. Althuis, F. Göbel

Research output: Book/ReportReportOther research output

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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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Music
Graph in graph theory
Continue
Cycle
Theorem
Class

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.
Althuis, T.A. ; Göbel, F. / Graph theoretic aspects of music theory. Enschede : University of Twente, Faculty of Mathematical Sciences, 2001. 6 p. (Memorandum / Department of Applied Mathematics; 1573).
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Althuis, TA & Göbel, F 2001, Graph theoretic aspects of music theory. Memorandum / Department of Applied Mathematics, no. 1573, University of Twente, Faculty of Mathematical Sciences, Enschede.

Graph theoretic aspects of music theory. / Althuis, T.A.; Göbel, F.

Enschede : University of Twente, Faculty of Mathematical Sciences, 2001. 6 p. (Memorandum / Department of Applied Mathematics; No. 1573).

Research output: Book/ReportReportOther research output

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KW - MSC-05C90

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Althuis TA, Göbel F. Graph theoretic aspects of music theory. Enschede: University of Twente, Faculty of Mathematical Sciences, 2001. 6 p. (Memorandum / Department of Applied Mathematics; 1573).