Friday, January 9, 2026

114edo Tweak

In yesterday's post I mentioned that the scale there could probably get straightened out a bit, so that's what I did. The simpler structure has a simpler description, too! The scale is built of two similar sequences generated by the interval of 5 steps of 114edo. The pitch classes in the scale thus go 0, 5, 10, 15, ..., 55, and then 57, 62, 67, 72, ..., 112. So there are two intervals of 2 steps seperating the two sequences of 5 steps. The tonnetz diagram above looks much the same as yesterday's, but just a little more symmetric.

I made a new piece with this tweaked scale: 114edo 24b. I used a somewhat different process to make this. Both today's and yesterday's piece use my usual thermodynamic algorithm. Yesterday I started the simulation at a very high temperature and gradually cooled in until global order emerged spontaneously. The piece is a snapshot from around the transition temperature. In today's simulation, I just fixed the temperature at the transition temperature that I observed in yesterday's piece. I initialized the system with a traversal of the comma 245:243. This traversal is repeated eight times over the course of the piece.

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