Modulation in tetradic harmony and its role in jazz

Octavio A. Agustín-Aquino, Guerino Mazzola

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


After a quick exposition of Mazzola's quantum modulation model for the so-called triadic interpretation of the major scale within the equal temperament, we study the model for the tetradic interpretation of the same scale. It is known that tetrads are fundamental for jazz music, and some classical objects for this kind of music are recovered.

Original languageEnglish (US)
Pages (from-to)58-65
Number of pages8
JournalJournal of Mathematics and Music
Issue number1
StatePublished - Jan 2 2020

Bibliographical note

Funding Information:
This work was partially supported by a grant from the Niels Hendrik Abel Board [2017]. We thank Jesús David Gómez Tellez for constructive comments on previous versions of this article. We also thank the several anonymous reviewers and the editors for their corrections and suggestions that improved the final version.

Publisher Copyright:
© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.


  • harmony
  • jazz
  • modulation quanta
  • tetrads


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