Composers on Mathematical Music
Subtext 6898375


. . . HPSCHD (Cage and Hiller). John Cage is currently at the University of Illinois as a member of the Center for Advanced Study. This project is a new composition of indeterminate length entitled HPSCHD, for one to seven harpsichords, and harpsichordlike sounds recorded on any number of tapes up to fifty-one. The tapes are both composed and synthesized on the IBM-7094-ILLIAC II system. The first job was to write a new subroutine for MUSICOMP called ICHING which generates first and second choices of integers between 1 and 64 according to the rules of changes defined by the I-Ching process. Although ICHING provides a random distribution of these integers considered as monograms, it generates nonrandom distributions of all the sets of digrams that depend in turn upon the storage pattern of integers in the I-Ching reference table.

This subroutine is being used to choose pitch levels in equal-tempered scales from 5 to 56 pitches per octave, intonational deviations from these pitch levels, and, finally, durations for every pitch level so chosen. One scale will be used for each of the fifty tapes mentioned above (the 12-tone scale being omitted from the set). Programming up to this stage has been finished as of end of 1967.

Lejaren Hiller



Composers on Mathematical Music: A Subtext Poem

Other Work by John Greschak

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