Thursday, November 27, 2025

A Kind of Pentatonic

Here is a new piece in 36edo, using a scale with five notes per octave.

This is built from tempered intervals approximating 7:4, or seven steps of 36edo. This is very close to 5edo, i.e. dividing octaves into five equal intervals. Here four of the intervals are seven steps of 36edo, and the fifth intervals is eight steps of 36edo. In the diagram above, this eight step interval is omitted since it acts as a sort of wolf tone.

This scale supports traversal of the comma 1029:1024, i.e. moving by 8:7 three times brings one to a perfect fifth 3:2, folding octaves along the way. The red arrows in the diagram represent intervals of 7:4, and the green arrows are the 3:2 perfect fifths.

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