Computational Music Science

Computational Counterpoint Worlds

Mathematical Theory, Software, and Experiments

Authors: Agustin-Aquino, Octavio A, Junod, Julien, Mazzola, Guerino

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  • First book dedicated to the computational theory of counterpoint
  • Supporting Java implementation available
  • Theory develops counterpoint models for new consonance-dissonance dichotomies
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eBook $59.99
price for Mexico
  • ISBN 978-3-319-11236-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for Mexico
  • ISBN 978-3-319-11235-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $79.99
price for Mexico
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: 4 de noviembre de 2016
  • ISBN 978-3-319-37167-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
About this Textbook

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.

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.

Reviews

“It is really an example of putting theory into practice. Apart from illustrative examples and problems to solve, the authors’ approach is highly algorithmic. … In addition, the appendices are extremely helpful on mathematical basics, a guide to counterpoint worlds and strict digraphs, and the index is quite useful.” (Jean Paul Van Bendegem, Mathematical Reviews, October, 2018)​

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $59.99
price for Mexico
  • ISBN 978-3-319-11236-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for Mexico
  • ISBN 978-3-319-11235-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $79.99
price for Mexico
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: 4 de noviembre de 2016
  • ISBN 978-3-319-37167-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
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Bibliographic Information

Bibliographic Information
Book Title
Computational Counterpoint Worlds
Book Subtitle
Mathematical Theory, Software, and Experiments
Authors
Series Title
Computational Music Science
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-11236-7
DOI
10.1007/978-3-319-11236-7
Hardcover ISBN
978-3-319-11235-0
Softcover ISBN
978-3-319-37167-2
Series ISSN
1868-0305
Edition Number
1
Number of Pages
X, 220
Number of Illustrations
41 b/w illustrations, 16 illustrations in colour
Topics