Modulation in tetradic harmony and its role in jazz

Octavio A. Agustín-Aquino; Guerino Mazzola

doi:10.1080/17459737.2019.1655673

Modulation in tetradic harmony and its role in jazz

Octavio A. Agustín-Aquino, Guerino Mazzola

Music (Twin Cities)

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	58-65
Number of pages	8
Journal	Journal of Mathematics and Music
Volume	14
Issue number	1
DOIs	https://doi.org/10.1080/17459737.2019.1655673
State	Published - Jan 2 2020

Bibliographical note

Funding Information:
This work was partially supported by a grant from the Niels Hendrik Abel Board [2017]. We thank Jes?s David G?mez 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.

Keywords

harmony
jazz
modulation quanta
tetrads

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10.1080/17459737.2019.1655673

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Modulation in tetradic harmony and its role in jazz

Abstract

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