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Computational counterpoint worldsmat...

Agustin-Aquino, Octavio Alberto.

Computational counterpoint worldsmathematical theory, software, and experiments /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Computational counterpoint worldsby Octavio Alberto Agustin-Aquino, Julien Junod, Guerino Mazzola.
其他題名:	mathematical theory, software, and experiments /
作者:	Agustin-Aquino, Octavio Alberto.
其他作者:	Junod, Julien.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	x, 220 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	CounterpointMathematics.
電子資源:	http://dx.doi.org/10.1007/978-3-319-11236-7
ISBN:	9783319112367 (electronic bk.)

Computational counterpoint worldsmathematical theory, software, and experiments /
Agustin-Aquino, Octavio Alberto.

Computational counterpoint worldsmathematical theory, software, and experiments /[electronic resource] :by Octavio Alberto Agustin-Aquino, Julien Junod, Guerino Mazzola. - Cham :Springer International Publishing :2015. - x, 220 p. :ill. (some col.), digital ;24 cm. - Computational music science,1868-0305. - Computational music science..

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

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.

ISBN: 9783319112367 (electronic bk.)

Standard No.: 10.1007/978-3-319-11236-7doiSubjects--Topical Terms:

727752
Counterpoint
--Mathematics.

LC Class. No.: MT55

Dewey Class. No.: 781.286

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