Méthodes algébriques dans la musique et la musicologie du XXème siècle : aspects théoriques, analytiques et compositionnels

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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Submitted on : Saturday, January 3, 2004 - 10:02:19 PM
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Moreno Andreatta. Méthodes algébriques dans la musique et la musicologie du XXème siècle : aspects théoriques, analytiques et compositionnels. domain_stic.othe. Ecole des Hautes Etudes en Sciences Sociales (EHESS), 2003. Français. ⟨tel-00004074⟩

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