Limit search to available items
Book Cover
E-book
Author Agustín-Aquino, Octavio Alberto, author

Title Computational counterpoint worlds : mathematical theory, software, and experiments / Octavio Alberto Agustín-Aquino, Julien Junod, Guerino Mazzola
Published Cham : Springer, 2015

Copies

Description 1 online resource (x, 220 pages) : illustrations (some color)
Series Computational Music Science, 1868-0305
Computational music science, 1868-0305
Contents Counterpoint -- First-Species Model -- Preliminary Background -- Quasipolarities and Interval Dichotomies -- Towers of Counterpoint -- Graphs -- Transformations -- Implementation -- Second-Species Model -- Hypergesture Homology -- Glossary -- Index
Summary 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
Bibliography Includes bibliographical references and index
Notes English
Online resource; title from PDF title page (SpringerLink, viewed July 13, 2015)
Subject Counterpoint -- Mathematics
Computer music -- History and criticism
Computer music
Genre/Form Criticism, interpretation, etc.
Form Electronic book
Author Junod, Julien, author
Mazzola, G. (Guerino), author.
ISBN 9783319112367
3319112368
331911235X
9783319112350