@inproceedings{d8d74e7767a94c389a1da8e19fbe68be,
title = "Mazzola's model of Fuxian counterpoint",
abstract = "This paper critiques Guerino Mazzola's derivation of traditional counterpoint rules, arguing that those principles are not well-modeled by pitchclass intervals; that Mazzola's differential treatment of fifths and octaves is not supported musically or by traditional counterpoint texts; that Mazzola's specific calculations are not reproducible; that there are a number of intuitive considerations weighing against Mazzola's explanation; that the fit between theory and evidence is not good; and that Mazzola's statistical arguments are flawed. This leads to some general methodological reflections on different approaches to mathematical music theory, as well as to an alternative model of first-species counterpoint featuring the orbifold double-struck T 2/S2.",
keywords = "Antiparallel Fifths, Counterpoint, Fux, Guerino Mazzola, Methodology of Mathematical Music Theory, Orbifolds, Palestrina, Parallel Fifths",
author = "Dmitri Tymoczko",
year = "2011",
doi = "10.1007/978-3-642-21590-2_23",
language = "English (US)",
isbn = "9783642215896",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
pages = "297--310",
booktitle = "Mathematics and Computation in Music - Third International Conference, MCM 2011, Proceedings",
note = "3rd International Conference on Mathematics and Computation in Music, MCM 2011 ; Conference date: 15-06-2011 Through 17-06-2011",
}