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Computational Counterpoint Worlds

Mathematical Theory, Software, and Experiments - Previously published in hardcover
BuchKartoniert, Paperback
220 Seiten
Englisch
Springererschienen am15.10.2016Softcover reprint of the original 1st ed. 2015
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.mehr
Verfügbare Formate
BuchGebunden
EUR53,49
BuchKartoniert, Paperback
EUR53,49
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextThe 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.
Details
ISBN/GTIN978-3-319-37167-2
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2016
Erscheinungsdatum15.10.2016
AuflageSoftcover reprint of the original 1st ed. 2015
Seiten220 Seiten
SpracheEnglisch
Gewicht401 g
IllustrationenX, 220 p. 57 illus., 16 illus. in color.
Artikel-Nr.40911238

Inhalt/Kritik

Inhaltsverzeichnis
Counterpoint.- First-Species Model.- Preliminary Background.- Quasipolarities and Interval Dichotomies.- Towers of Counterpoint.- Graphs.- Transformations.- Implementation.- Second-Species Model.- Hypergesture Homology.- Glossary.- Index.mehr
Kritik
"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)mehr

Schlagworte

Autor

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.