Graphs

Octavio Alberto Agustín-Aquino; Julien Junod; Guerino Mazzola

doi:10.1007/978-3-319-11236-7_4

Graphs

Octavio Alberto Agustín-Aquino, Julien Junod, Guerino Mazzola

Music (Twin Cities)

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

Abstract

A counterpoint composition is like traveling through a city: We move from place to place (the intervals) driving along roads (the steps), as shown on Figure 4.1. Some routes may allow traffic in both directions, others may be one-way roads, and a few may be completely closed to vehicles. The network is designed to optimize traffic in the same way as counterpoint rules regulate musical circulation across intervals. The duty and freedom of the composer is to choose the appropriate route in this system.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	41-66
Number of pages	26
DOIs	https://doi.org/10.1007/978-3-319-11236-7_4
State	Published - 2015

Publication series

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

Bibliographical note

Publisher Copyright:
© 2015, Springer International Publishing Switzerland.

Keywords

Equivalence Relation
Morphism Group
Polarity Function
Strong Dichotomy
Target Component

Publisher link

10.1007/978-3-319-11236-7_4

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KW - Equivalence Relation

KW - Morphism Group

KW - Polarity Function

KW - Strong Dichotomy

KW - Target Component

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Graphs

Abstract

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