In 1965, Stop was composed in a single session at the blackboard during a composition seminar at the Cologne Courses for New Music 1964–65. The work was created in response to a student's request for a demonstration of the process of creating a work.
On June 2, 1969, the "Paris Version" of Stop, for nineteen instruments, was given its world premiere under the direction of Diego Masson at the Théâtre National Populaire, Palais de Chaillot. It was part of a series of seven concerts of Stockhausen's works.
On March 9, 1973, a version of Stop was conducted by the composer in London. Although the score specifies that the six groups be placed "as far apart from one another as possible", this performance did not differentiate them spatially.
In 2001, Stop und Start (Stop and Start) for six instrumental groups (twelve performers) was published as version Nr. 18+2⁄3. The altered title of the 2001 version simply reflects the fact that a new sound group starts up after each interruption.
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