lunar aspect

Thursday, October 19, 2023

Wilson's Mapping of the Hypercube

 

For any composers interested in doing a followup to Xenakis' Nomos Alpha, here is a pitch based option. While Wilson had plotted out the cube, he also did one for the hypercube which i added some factors, a different rotation with dyads closer to the best fifth possible with 1 thru 15 to my own with pure fifths Since the only links are via dyads the piece is bound to be pretty dissonant but higher harmonics are possible of course. the latter one might be the most perceptible at least for present ears.

In the lower right version there isa repeat of the product of 3-5-9-21 and 1-7-15-27, but if i space the structure in this way 18-20-21-24-27-28-30-32 these two tones will be two octaves apart