Williams Mix (1951–1953) is a 4'15" electronic composition by John Cage for eight simultaneously played independent quarter-inch magnetic tapes. The first octophonic music, the piece was created by Cage with the assistance of Earle Brown, Morton Feldman, and David Tudor, using a large number of tape sound sources and a paper score he created for the construction. "Presignifying the development of algorithmic composition, granular synthesis and sound diffusion," it was the third of five pieces completed in the Project for Music for Magnetic Tape (1951–1954), funded by dedicatee architect Paul Williams.
The material, recorded by Louis and Bebe Barron, was organized in six categories: city, country, electronic, manually produced, wind, and "small" sounds; "subjected...to I Ching manipulations, producing constant jumps from one sound to another or buzzing, scrambled textures of up to sixteen simultaneous layers." The 193-page score, "a full-size drawing of the tape fragments, which served as a 'score' for the splicing," is described by Cage as similar to "a dressmaker's pattern – it literally shows where the tape shall be cut, and you lay the tape on the score itself." Thus, like a recipe, the piece may be recreated using different tapes and the score.
The work was premiered at the 25th Year Retrospective Concert Of The Music Of John Cage on May 15, 1958, and was recorded by Columbia Records producer George Avakian and issued by him on a three-LP set with a booklet including extensive notes and illustrations of scores.
Larry Austin later created a computer program, the "Williams (re)Mix(er)", based on an analysis of ""Williams Mix"", which could "yield ever-new Williams Mix scores." With this software, Austin created Williams (re)Mix[ed] (1997–2000), an octophonic variation of Williams Mix using different sound sources.