New piece for the historic studio at EMS

I'm currently Working on a 7-limit scale to complement the original pitches I started working on for the piece. This is constructed as a harmonic space¹ in two dimensions, five and seven, and can has the following relations:

		49/32
	7/5	7/4	35/32
32/25	8/5	1/1	5/4	25/16
	64/35	8/7	40/21
		64/49

In notation:


Since one of my main interests here is to find interesting beating patterns, this particular pitch set provides a few pairs that gives nice patterns. One of these, \(\frac{32}{25}\) against \(\frac{5}{4}\), has a simple rhythmic pattern, given the fundamental is 200Hz, of \(\frac{1}{6}\) as is given by:

\(\frac{1}{200(\frac{32}{25} - \frac{5}{4})}\)

Footnotes:

¹

Tenney (2008) On ’Crystal Growth’ in Harmonic Space (1993 - 1998)., Contemporary Music Review.