# 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 space^{1} 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.