The Third Torus and Counterpoint

Guerino Mazzola; Maria Mannone; Yan Pang

doi:10.1007/978-3-319-42937-3_21

The Third Torus and Counterpoint

Guerino Mazzola, Maria Mannone, Yan Pang

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

This chapter deals with the mathematics of the third torus group ℤ₃ × ℤ₄ and its symmetries and then applies these structures to music theory, in particular to counterpoint.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	171-179
Number of pages	9
DOIs	https://doi.org/10.1007/978-3-319-42937-3_21
State	Published - 2016

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing Switzerland.

Keywords

Major Scale
Music Theory
Pitch Class
Strong Dichotomy
Torus Group

Publisher link

10.1007/978-3-319-42937-3_21

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author = "Guerino Mazzola and Maria Mannone and Yan Pang",

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year = "2016",

doi = "10.1007/978-3-319-42937-3\_21",

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series = "Computational Music Science",

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AU - Mannone, Maria

AU - Pang, Yan

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KW - Pitch Class

KW - Strong Dichotomy

KW - Torus Group

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ER -

The Third Torus and Counterpoint

Abstract

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Bibliographical note

Keywords

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