Mazzola’s Model of Fuxian Counterpoint
Identifieur interne : 000574 ( Main/Exploration ); précédent : 000573; suivant : 000575Mazzola’s Model of Fuxian Counterpoint
Auteurs : Dmitri Tymoczko [États-Unis]Source :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 2011.
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Abstract
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 $\mathbb{T}^2$ / $\mathcal{S}_2$ .
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DOI: 10.1007/978-3-642-21590-2_23
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