Xenakis

Xenakis pioneered electronic, computer music, the application of mathematics, statistics, and physics to music and music theory, and the integration of sound and architecture. He used techniques related to probability theory, stochastic processes, statistics, statistical mechanics, group theory, game theory, set theory, and other branches of mathematics and physics in his compositions. He integrated music with architecture, designing music for pre-existing spaces, and designing spaces to be integrated with specific music compositions and performances. He integrated both with political commentary. He viewed compositions as reification and formal structures of abstract ideas, not as ends, to be later incorporated into families of compositions, "a form of composition which is not the object in itself, but an idea in itself, that is to say, the beginnings of a family of compositions."