Modulation in tetradic harmony and its role in jazz

Octavio A. Agustín-Aquino, Guerino Mazzola

Research output: Contribution to journalArticle


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)
JournalJournal of Mathematics and Music
StateAccepted/In press - Jan 1 2019


  • harmony
  • jazz
  • modulation quanta
  • tetrads

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