Xenakis,Iannis. — Formalized music. Thought and mathematics in composition. Revised edition. Additional material compiled and edited by Sharon Kanach.

Stuyvesant, NY, Pendragon Press, [1992]. XIV,387 pp. B./w. ills. Orig. pblisher's hardcover binding (brown cloth with white lettering), d./j. 8vo. - Owner's name on first free endpaper; On 2 pages a small piece of transparent tape has been attached as a bookmark. - Otherwise a very neat copy with an impeccable dust jacket.Expanded edition of Formalized Music, a landmark book by Greek-French composer and architect Iannis Xenakis. First published in English in 1971, it outlines his revolutionary approach to musical composition, in which he used mathematical models and stochastic (random) functions to create music. He challenges traditional compositional methods, including integral serialism, and proposes a new framework for musical creation based on mathematical principles. He argues that at a macro level, music consists of "clouds of points" or masses of sound events, which can be described and controlled using statistical laws, a concept taken from the kinetic theory of gases. This expanded revised edition is compiled by Sharon Kanach. This edition includes new chapters, computer programs, and a self-examination by Xenakis, building upon the original work that explains his use of stochastic mathematical functions in composition.