Monday, September 1, 2025

Hanson[19]

A couple days ago I posted a piece in a 19 note scale, using 55edo. This was a classic meantone scale, built from a chain of perfect fifths with the syntonic comma tempered out.

Here is a new piece in a different 19 note scale, using 53edo. This is a Hanson scale, built from a chain of minor thirds with the kleisma tempered out.

I thought it was a nice coincidence that both meantone scales and Hanson scales work with 19 notes per octave: one can shift the scale along the chain of generating intervals by just sharpening or flattening one note of the scale. Initially I just tweak my code to switch the tuning system and scale, but what the software generated was mostly just a single note repeated again and again. Exactly what combinations of parameters will result in anything reasonable musical... I can usually guess the general ballpark, but generally I have to sift through at least a few trials to find something that sounds plausible. So the parameters here have wandered quite a bit from last Saturday's!

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