A Projection-Oriented Mathematical Model for Second-Species Counterpoint

Octavio A. Agustín-Aquino; Guerino Mazzola

doi:10.1007/978-3-031-07015-0_7

A Projection-Oriented Mathematical Model for Second-Species Counterpoint

Octavio A. Agustín-Aquino
, Guerino Mazzola

Music (Twin Cities)

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

Abstract

Drawing inspiration from both the classical Guerino Mazzola’s symmetry-based model for first-species counterpoint (one note against one note) and Johann Joseph Fux’s Gradus ad Parnassum, we propose an extension for second-species (two notes against one note).

Original language	English (US)
Title of host publication	Mathematics and Computation in Music - 8th International Conference, MCM 2022, Proceedings
Editors	Mariana Montiel, Octavio A. Agustín-Aquino, Francisco Gómez, Jeremy Kastine, Emilio Lluis-Puebla, Brent Milam
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	75-85
Number of pages	11
ISBN (Print)	9783031070143
DOIs	https://doi.org/10.1007/978-3-031-07015-0_7
State	Published - 2022
Event	8th Biennial International Conference for Mathematics and Computation in Music, MCM 2022 - Atlanta, United States Duration: Jun 21 2022 → Jun 24 2022

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	13267 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	8th Biennial International Conference for Mathematics and Computation in Music, MCM 2022
Country/Territory	United States
City	Atlanta
Period	6/21/22 → 6/24/22

Bibliographical note

Funding Information:
This work was partially supported by a grant from the Niels Hendrik Abel Board.

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Counterpoint
Second-species

Publisher link

10.1007/978-3-031-07015-0_7

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Agustín-Aquino, O. A., & Mazzola, G. (2022). A Projection-Oriented Mathematical Model for Second-Species Counterpoint. In M. Montiel, O. A. Agustín-Aquino, F. Gómez, J. Kastine, E. Lluis-Puebla, & B. Milam (Eds.), Mathematics and Computation in Music - 8th International Conference, MCM 2022, Proceedings (pp. 75-85). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13267 LNAI). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-07015-0_7

A Projection-Oriented Mathematical Model for Second-Species Counterpoint. / Agustín-Aquino, Octavio A.; Mazzola, Guerino.
Mathematics and Computation in Music - 8th International Conference, MCM 2022, Proceedings. ed. / Mariana Montiel; Octavio A. Agustín-Aquino; Francisco Gómez; Jeremy Kastine; Emilio Lluis-Puebla; Brent Milam. Springer Science and Business Media Deutschland GmbH, 2022. p. 75-85 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13267 LNAI).

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

Agustín-Aquino, OA & Mazzola, G 2022, A Projection-Oriented Mathematical Model for Second-Species Counterpoint. in M Montiel, OA Agustín-Aquino, F Gómez, J Kastine, E Lluis-Puebla & B Milam (eds), Mathematics and Computation in Music - 8th International Conference, MCM 2022, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 13267 LNAI, Springer Science and Business Media Deutschland GmbH, pp. 75-85, 8th Biennial International Conference for Mathematics and Computation in Music, MCM 2022, Atlanta, United States, 6/21/22. https://doi.org/10.1007/978-3-031-07015-0_7

Agustín-Aquino OA, Mazzola G. A Projection-Oriented Mathematical Model for Second-Species Counterpoint. In Montiel M, Agustín-Aquino OA, Gómez F, Kastine J, Lluis-Puebla E, Milam B, editors, Mathematics and Computation in Music - 8th International Conference, MCM 2022, Proceedings. Springer Science and Business Media Deutschland GmbH. 2022. p. 75-85. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-07015-0_7

Agustín-Aquino, Octavio A. ; Mazzola, Guerino. / A Projection-Oriented Mathematical Model for Second-Species Counterpoint. Mathematics and Computation in Music - 8th International Conference, MCM 2022, Proceedings. editor / Mariana Montiel ; Octavio A. Agustín-Aquino ; Francisco Gómez ; Jeremy Kastine ; Emilio Lluis-Puebla ; Brent Milam. Springer Science and Business Media Deutschland GmbH, 2022. pp. 75-85 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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A Projection-Oriented Mathematical Model for Second-Species Counterpoint

Abstract

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