Bohlen-Pierce

Here's a new piece in 41edo, using a scale that is a very good approximation to the equal tempered Bohlen-Pierce scale. One key feature of this scale is that it repeats with a period of frequency ratio 3, rather than the usual 2. A frequency ratio of 2 is an octave: most scales repeat with a period of an octave. Not this one!

The other feature of the scale is that factors of 2 are omitted from all the scale ratios, at least in the just-tuned version. Here I am using an equal tempered version. My software uses a consonance score to drive the probability distributions for choosing pitches. I tweaked the score formula here to omit factors of 2.