Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-23T20:48:02.844Z Has data issue: false hasContentIssue false

The Random Arts: Xenakis, Mathematics and Music

Published online by Cambridge University Press:  04 February 2010

Extract

The glib use of the terms ‘random’ and ‘chance’ in the contemporary arts is almost without exception thoroughly anachronistic. It has been a philosophical and mathematical commonplace since the Port Royal Logic in 1662 and Bernouilli in 1713 that there is no absolute polarity between chance and determinism; that there is, rather, a continuous spectrum between pure chance at one end and pure determinism at the other; that both pure states are rare; and that it is, moreover, possible to argue with as rigorous a logic, with as extended a mathematics and with as fruitful results at the chance end of the spectrum as at the deterministic end: to describe and manipulate degrees of disorder, or the movement from order to disorder and from disorder to order.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Musiques Formelles, Editions , Richard-Masse, Paris 1963Google Scholar. From the translation by Christopher Butchers.