Abstract
Two “open” works, composed within a two-year period by Boulez and Xenakis, could be seen as based on a square matrix of order six and share several properties. Their combinatorial attributes, the theory and the practice of their performances are studied and compared. Our main aim is to establish a relationship between the properties of the mathematical model and its use by Boulez and Xenakis in Domains and Duel.
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References
Max/MSP by Cycling’74, http://cycling74.com/products/maxmspjitter/
OpenMusic by Ircam, http://repmus.ircam.fr/openmusic/
Sluchin, B., Malt, M.: Play and game in Duel and Strategy. In: Xenakis International Symposium, London (2011)
Boulez, P.: Domaines. Universal Editions, London (1961-1968)
Boulez, P.: Domaines, Michel Portal. Ensemble Musique Vivante. Direction Diego Masson, Harmonia Mundi (1971, 2001)
Bosseur J. Y., Michel, P.: Musiques Contemporaines, Perspectives analytiques 1950-1985, Minerve (2007)
Jameux, D.: Pierre Boulez. Fayard/Fondation SACEM, Paris (1984)
Sluchin, B., Malt, M.: Interpretation And Computer Assistance In John Cage’s Concert For Piano And Orchestra (1957-1958). In: Sound and Music Computing Conference, Barcelona (2010)
Xenakis, I.: Duel. Editions Salabert (1959)
Xenakis, I.: Musiques Formelles. Stock (1981)
Xenakis, I.: Formalized Music. Indiana University Press, Bloomington (1971)
Neumann, J.V., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1944)
Webb, N.J.: Game Theory, Decisions, Interaction and Evolution. Springer, Heidelberg (2007)
Brechenmacher, F.: Les matrices, formes de représentation et pratiques opératoires (1850-1930), CultureMATH - ENS Ulm, Paris (2006)
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Sluchin, B., Malt, M. (2011). Open Form and Two Combinatorial Musical Models: The Cases of Domaines and Duel . In: Agon, C., Andreatta, M., Assayag, G., Amiot, E., Bresson, J., Mandereau, J. (eds) Mathematics and Computation in Music. MCM 2011. Lecture Notes in Computer Science(), vol 6726. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21590-2_20
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DOI: https://doi.org/10.1007/978-3-642-21590-2_20
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