Authors:
- First book dedicated to the computational theory of counterpoint
- Supporting Java implementation available
- Theory develops counterpoint models for new consonance-dissonance dichotomies
- Includes supplementary material: sn.pub/extras
Part of the book series: Computational Music Science (CMS)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
The mathematical theory of counterpoint was originally aimed at simulating the composition rules described in Johann Joseph Fux’s Gradus ad Parnassum. It soon became apparent that the algebraic apparatus used in this model could also serve to define entirely new systems of rules for composition, generated by new choices of consonances and dissonances, which in turn lead to new restrictions governing the succession of intervals.
This is the first book bringing together recent developments and perspectives on mathematical counterpoint theory in detail. The authors include recent theoretical results on counterpoint worlds, the extension of counterpoint to microtonal pitch systems, the singular homology of counterpoint models, and the software implementation of contrapuntal models.
The book is suitable for graduates and researchers. A good command of algebra is a prerequisite for understanding the construction of the model.
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Authors and Affiliations
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Instituto de Matemática, La Universidad de la Cañada, Teotitlan de Flores Magón, Mexico
Octavio Alberto Agustín-Aquino
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IUMSP, Université de Lausanne, Epalinges, Switzerland
Julien Junod
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School of Music, University of Minnesota, Minneapolis, USA
Guerino Mazzola
About the authors
Prof. Dr. Octavio Alberto Agustín Aquino received his Ph.D. in Mathematics from the Universidad Nacional Autónoma de Mexico in 2011. He is a lecturer in Universidad de la Cañada, Mexico.
Dr. Julien Junod received his Ph.D. in Mathematics from the University of Zürich in 2010. He has worked as a statistician at the Institut Universitaire de Médecine Sociale et Préventive (IUMSP) of the Université de Lausanne since 2002. He participated in the development of counterpoint plug-ins for the Rubato platform and a website about scales used at the IRCAM.
Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002 — its formal language and models are used by leading researchers in Europe, India, Japan, and North America and have become a foundation of music software design. Prof. Mazzola has an appointment as professor in the School of Music at the College of Liberal Arts,University of Minnesota.
Bibliographic Information
Book Title: Computational Counterpoint Worlds
Book Subtitle: Mathematical Theory, Software, and Experiments
Authors: Octavio Alberto Agustín-Aquino, Julien Junod, Guerino Mazzola
Series Title: Computational Music Science
DOI: https://doi.org/10.1007/978-3-319-11236-7
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-11235-0Published: 28 July 2015
Softcover ISBN: 978-3-319-37167-2Published: 15 October 2016
eBook ISBN: 978-3-319-11236-7Published: 08 July 2015
Series ISSN: 1868-0305
Series E-ISSN: 1868-0313
Edition Number: 1
Number of Pages: X, 220
Number of Illustrations: 41 b/w illustrations, 16 illustrations in colour