Melodic Variation by Arrows

Guerino Mazzola

doi:10.1007/978-3-319-64364-9_29

Melodic Variation by Arrows

Guerino Mazzola

Music (Twin Cities)

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

Abstract

The ideas of tangent objects described in Section 7.5 are applied to define contrapuntal intervals as tangential “arrows” from the cantus firmus to the discantus tone. This formalism fits with the idea that the discantus is a kind of melodic variation around the cantus firmus line. The ring structure of the set of such arrows is discussed and motivated from the musical perspective.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	507-515
Number of pages	9
DOIs	https://doi.org/10.1007/978-3-319-64364-9_29
State	Published - 2017

Publication series

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

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© 2017, Springer International Publishing AG, part of Springer Nature.

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10.1007/978-3-319-64364-9_29

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Melodic Variation by Arrows

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