Sunday, March 15, 2026

Interval Cost Function

Here is a new piece: 53edo nxd.

This uses the same scale that I showed in yesterday's post.

For this new piece, I changed the interval cost function. This table shows a large part of the cost function. The composition algorithm prioritizes intervals with low cost. Intervals of the same number of half steps follow diagonals from upper left to lower right. The uppermost such diagonal shows the cost for the half step interval. In an equal tempered scale, these half step intervals would all have the same cost. In this scale, however, the interval from C to Db is not exactly the same size as the interval from Db to D, and so their costs differ.

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