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The Number Pieces are a corpus of works by composer John Cage, which rely ona particular time-structure used for determining the temporal location ofsounds, named the "time-bracket". The time-bracket system is an inherentlystochastic process, which complicates the analysis of the Number Pieces as itleads to a large number of possibilities in terms of sonic content instead ofone particular fixed performance. The purpose of this paper is to propose astatistical approach of the Number Pieces by assimilating them to stochasticprocesses. Two Number Pieces, "Four" and "Five", are studied here in terms ofpitch-class set content: the stochastic processes at hand lead to a collectionof random variables indexed over time giving the distribution of the possiblepitch-class sets. This approach allows for a static and dynamic analysis of thescore encompassing all the possible outcomes during the performance of theseworks.

John Cage's Number Pieces as Stochastic Processes: a Large-Scale Analysis