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Agustín-Aquino O.A., Junod J., Mazzola G. Computational Counterpoint Worlds: Mathematical Theory, Software, and Experiments

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Agustín-Aquino O.A., Junod J., Mazzola G. Computational Counterpoint Worlds: Mathematical Theory, Software, and Experiments
Springer, 2015. — 223 p. — (Computational Music Science). — ISBN: 9783319112350, EISBN: 9783319112367
The mathematical theory of counterpoint developed by Guerino Mazzola around 1984 was originally aimed at simulating the composition rules described in Johann Joseph Fux’s Gradus ad Parnassum. It soon came out that the algebraic appa- ratus used in this model could also serve to define entirely new systems of rules for composition. Those are generated by new choices of consonances and dissonances, which in turn lead to new restrictions governing the succession of intervals.
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