Computational Counterpoint Worlds

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Sprache: Englisch

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Beschreibung

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.

Über den 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.

Zusammenfassung

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: [...]

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2016
Genre:	Allgemeine Lexika , Geisteswissenschaften , Kunst , Musik
Rubrik:	Literaturwissenschaft
Medium:	Taschenbuch
Reihe:	Computational Music Science
Inhalt:	x 220 S. 41 s/w Illustr. 16 farbige Illustr. 220 p. 57 illus. 16 illus. in color.
ISBN-13:	9783319371672
ISBN-10:	3319371673
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Agustín-Aquino, Octavio Alberto Junod, Julien Mazzola, Guerino
Auflage:	Softcover reprint of the original 1st edition 2015
Hersteller:	Springer Springer International Publishing AG Computational Music Science
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 12 mm
Von/Mit:	Octavio Alberto Agustín-Aquino (u. a.)
Erscheinungsdatum:	15.10.2016
Gewicht:	0,401 kg