Mathematical Music Theory|Status Quo 2000
Guerino B. Mazzola, Departement Gess · 2001
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.