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Quasipolarities and Interval Dichotomies

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Computational Counterpoint Worlds

Abstract

As we have seen in Chapter 2, affine involutive derangements are important for our mathematical theory of counterpoint, because they are the polarities of strong dichotomies in \(\mathbb{Z}_{2k}\). In this chapter we characterize them for future reference.

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Agustín-Aquino, O.A., Junod, J., Mazzola, G. (2015). Quasipolarities and Interval Dichotomies. In: Computational Counterpoint Worlds. Computational Music Science. Springer, Cham. https://doi.org/10.1007/978-3-319-11236-7_7

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  • DOI: https://doi.org/10.1007/978-3-319-11236-7_7

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11235-0

  • Online ISBN: 978-3-319-11236-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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