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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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21#
發(fā)表于 2025-3-25 06:23:14 | 只看該作者
First-Species Model,Here we present the full first-species model for a 2.-tone equal temperament. In particular, we explain what a . and a . is, how the rules of counterpoint are deduced from these concepts, and how to do the relevant calculations.
22#
發(fā)表于 2025-3-25 10:33:58 | 只看該作者
23#
發(fā)表于 2025-3-25 15:02:20 | 只看該作者
Quasipolarities and Interval Dichotomies,As we have seen in Chapter ., affine involutive derangements are important for our mathematical theory of counterpoint, because they are the polarities of strong dichotomies in .. In this chapter we characterize them for future reference.
24#
發(fā)表于 2025-3-25 17:37:13 | 只看該作者
25#
發(fā)表于 2025-3-25 23:02:27 | 只看該作者
A Categorical Look at Gesture Theory,In this chapter and the following one, we shall describe contrapuntal rules in terms of singular homology of gestures. Chapter 9 describes the mathematical theory of gestures, whereas Chapter . develops singular homology for gestures and applies it to restate contrapuntal rules in terms of homological dimension.
26#
發(fā)表于 2025-3-26 00:27:23 | 只看該作者
Hypergesture Homology for Counterpoint,In this chapter, we develop gestural singular homology and restate the condition of maximal intersection (see Definition 2.5 or Section 10.2) in terms of a dimension of a first homology module.
27#
發(fā)表于 2025-3-26 04:55:28 | 只看該作者
https://doi.org/10.1007/978-3-319-11236-7Composition software; Counterpoint; Exotic interval dichotomies; Homology; Mathematical music theory; Mic
28#
發(fā)表于 2025-3-26 09:20:25 | 只看該作者
29#
發(fā)表于 2025-3-26 12:45:14 | 只看該作者
30#
發(fā)表于 2025-3-26 20:35:04 | 只看該作者
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