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math.CT2018
A Categorical Generalization of Counterpoint
Octavio A. Agustín-Aquino, Juan Sebastián Arias, Enrique Ruiz Hernández
We extend Mazzola's counterpoint model using category theory, generalizing from the category to an arbitrary topos other than . This generalization sug…
math.HO2018★ 3 cited
Modulation in Tetradic Harmony and its Role in Jazz
Octavio A. Agustín-Aquino, Guerino Mazzola
After a quick exposition of Mazzola's quantum modulation model for the so-called triadic interpretation of the major scale within the equal temperament, we study the model for the…