Abstract
A counterpoint theory for the whole continuum of the octave is obtained from Mazzola’s model via extended counterpoint symmetries, and some of its properties are discussed.
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Notes
- 1.
By the way, this happens only with the self-complementary function itself.
References
Agustín-Aquino, O.A. (2011). Extensiones microtonales de contrapunto, PhD dissertation, Universidad Nacional Autónoma de México, Mexico City, 2011
Crossley, M.D.: Essential Topology. Springer, Berlin (2006)
Mazzola, G.: The Topos of Music. Birkhäuser-Verlag, Berlin (2002)
Mazzola, G.: Singular homology on hypergestures. J. Math. Music 6(1), 49–60 (2012)
Mazzola, G., Agustín-Aquino, O.A., Junod, J.: Computational Counterpoint Worlds. Springer, Berlin (2015)
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Agustín-Aquino, O.A. (2017). Extended Counterpoint Symmetries and Continuous Counterpoint . In: Pareyon, G., Pina-Romero, S., Agustín-Aquino, O., Lluis-Puebla, E. (eds) The Musical-Mathematical Mind. Computational Music Science. Springer, Cham. https://doi.org/10.1007/978-3-319-47337-6_1
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DOI: https://doi.org/10.1007/978-3-319-47337-6_1
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