The Case of the Twelve-Tone Scale

Octavio Alberto Agustín-Aquino, Julien Junod, Guerino Mazzola

Research output: Chapter in Book/Report/Conference proceedingChapter


The dichotomies in are special, for they represent those of the standard twelvetone scale. They have been completely determined, and we know there are 34 marked dichotomy classes, which define 26 dichotomy classes. Among these, exactly 8 are autocomplementary, and only 6 are strong.

Original languageEnglish (US)
Title of host publicationComputational Music Science
PublisherSpringer Nature
Number of pages14
StatePublished - 2015

Publication series

NameComputational Music Science
ISSN (Print)1868-0305
ISSN (Electronic)1868-0313

Bibliographical note

Publisher Copyright:
© 2015, Springer International Publishing Switzerland.


  • Dichotomy Class
  • Major Scale
  • Memory Content
  • None None
  • Strong Dichotomy


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