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Article: Residue-class sets in the music of Iannis Xenakis: an analytical algorithm and a general intervallic expression.
- Article from:
- Perspectives of New Music
- Article date:
- June 22, 2001
- Author:
CopyrightCOPYRIGHT 2001 Perspectives of New Music. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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IN A 1990 ARTICLE entitled "Sieves," IANNIS XENAKIS elaborated upon the description of sieve theory he gave twenty years before in "Towards a Metamusic," which was also included in his monograph, Formalized Music. (1) XENAKIS'S "sieves" are custom-designed collections constructed from interwoven chains of elements (pitches, rhythms, timbres, textures, or iterations in some other parameter) separated by congruent intervals. The "sieve" label is a metaphor for the set-theoretical filtration process involved in restricting the compositional material to members of carefully chosen sets that exhibit internal intervallic repetition at one or more levels. Constituting an open ...
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