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(2015) Mathematics and computation in music, Dordrecht, Springer.
A statistical approach to the global structure of John Cage's number piece $${five}^5$$
Alexandre Popoff
pp. 231-236
The Number Pieces are a body of late works composed by John Cage using particular temporal structures called time-brackets. In a Number Piece with multiple performers, the superposition of the various parts, each containing time-brackets, creates an everchanging polyphonic work whose structure cannot be determined in advance. We provide here a statistical study of the global structure of the Number Piece (Five^5) in terms of probabilities of occurence of the various possible set classes, completed by the use of various measures from information theory.
Publication details
DOI: 10.1007/978-3-319-20603-5_24
Full citation:
Popoff, A. (2015)., A statistical approach to the global structure of John Cage's number piece $${five}^5$$, in T. Collins, D. Meredith & A. Volk (eds.), Mathematics and computation in music, Dordrecht, Springer, pp. 231-236.
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