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Titlebook: Computational Counterpoint Worlds; Mathematical Theory, Octavio Alberto Agustín-Aquino,Julien Junod,Guerin Textbook 2015 Springer Internati

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发表于 2025-3-21 18:18:29 | 显示全部楼层 |阅读模式
书目名称Computational Counterpoint Worlds
副标题Mathematical Theory,
编辑Octavio Alberto Agustín-Aquino,Julien Junod,Guerin
视频video
概述First book dedicated to the computational theory of counterpoint.Supporting Java implementation available.Theory develops counterpoint models for new consonance-dissonance dichotomies.Includes supplem
丛书名称Computational Music Science
图书封面Titlebook: Computational Counterpoint Worlds; Mathematical Theory, Octavio Alberto Agustín-Aquino,Julien Junod,Guerin Textbook 2015 Springer Internati
描述.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. .
出版日期Textbook 2015
关键词Composition software; Counterpoint; Exotic interval dichotomies; Homology; Mathematical music theory; Mic
版次1
doihttps://doi.org/10.1007/978-3-319-11236-7
isbn_softcover978-3-319-37167-2
isbn_ebook978-3-319-11236-7Series ISSN 1868-0305 Series E-ISSN 1868-0313
issn_series 1868-0305
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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Experimentation,rise that the first musical piece composed with the help of a computer was a counterpoint simulation.1 The algorithmic flavor of the . and its systematic organization into species [29] calls logically for a translation of composition techniques into formal mathematical models and algorithms.
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Nuclear Outlines and Nomenclature,rise that the first musical piece composed with the help of a computer was a counterpoint simulation.1 The algorithmic flavor of the . and its systematic organization into species [29] calls logically for a translation of composition techniques into formal mathematical models and algorithms.
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Morphism Enumeration, conforming to a different set of rules? Could we, for example, take a Fuxian counterpoint and alter its pitches so that it becomes a valid Ionian composition (see Section 3.4)? We stated in Definitions 4.2 and 4.5 that the specifications such a transformation must meet, but we said nothing about their existence.
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