Méthodes algébriques dans la musique et la musicologie du XXème siècle : aspects théoriques, analytiques et compositionnels
Identifieur interne : 000079 ( France/Analysis ); précédent : 000078; suivant : 000080Méthodes algébriques dans la musique et la musicologie du XXème siècle : aspects théoriques, analytiques et compositionnels
Auteurs : Moreno Andreatta [France]Source :
Descripteurs français
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Abstract
The application of algebraic methods to music is a relatively new approach in musical research. We analyse the problem of the emergence of algebraic structures in music by looking at three main figures of Twentieth-Century theorists/composers: Milton Babbitt, Iannis Xenakis and Anatol Vieru. Some of their music-theoretic constructions are the starting point for a discussion on the notion of music theory in some analytical as well as compositional applications. This work discusses an algebraic formalisation of Set Theory and its transformational developments from a perspective which includes an analysis of the relationships between American tradition and a formalised European approach. The concepts elaborated in this work lead to a definition of the place of a computational approach in musicology and open several philosophical questions on the relationships between mathematics and music.
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Hal:tel-00004074Le document en format XML
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<front><div type="abstract" xml:lang="en">The application of algebraic methods to music is a relatively new approach in musical research. We analyse the problem of the emergence of algebraic structures in music by looking at three main figures of Twentieth-Century theorists/composers: Milton Babbitt, Iannis Xenakis and Anatol Vieru. Some of their music-theoretic constructions are the starting point for a discussion on the notion of music theory in some analytical as well as compositional applications. This work discusses an algebraic formalisation of Set Theory and its transformational developments from a perspective which includes an analysis of the relationships between American tradition and a formalised European approach. The concepts elaborated in this work lead to a definition of the place of a computational approach in musicology and open several philosophical questions on the relationships between mathematics and music.</div>
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