Mathematical Music Theory|Status Quo 2000

Guerino B. Mazzola · Departement Gess

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Musicology and Musical Analysis Diverse Music Education Insights Music Technology and Sound Studies

Abstract

We give an overview of mathematical music theory as it has been developed in the past twenty years. The present theory includes a formal language for musical and musicological objects and relations. This language is built upon topos theory and its logic. Various models of musical phenomena have been developed. They include harmony (function theory, cadences, and modulations), classical counterpoint (Fux rules), rhythm, motif theory, and the theory of musical performance.

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2003The topos of music: geometric logic of concepts, theory, and performance 1999Analyzing Musical Structure and Performance---A Statistical Approach 1985Gruppen und Kategorien in der Musik 1997Morphologische Grundlagen der abendländischen Harmonik 1995Musical Modulation by Symmetries

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