Canou family

Canou is a rank-3 temperament that tempers out the canousma, 4802000/4782969 = [4 -14 3 4⟩, a 7-limit comma measuring about 6.9 cents.

The temperament features a period of an octave and generators of 3/2 and 81/70. The 81/70-generator is about 255 cents. Two of them interestingly make a 980/729 at about 510 cents, an audibly off perfect fourth. Three of them make a 14/9; four of them make a 9/5. It therefore also features splitting the septimal diesis, 49/48, into three equal parts, making two distinct interseptimal intervals related to the 35th harmonic.

Decent amount of harmonic resources are provided by a simple 9-note scale. Flora Canou commented:

— It sounds somewhat like a Phrygian scale but the abundance of small intervals of 28/27 makes it melodically active.

14- and 19-note scales are also possible. See canou scales for more information.

For tunings, a basic option would be 80edo. Others such as 94edo, 99edo and 118edo are more accurate; 19edo (perferably with stretched octaves) also provides a good trivial case, whereas the optimal patent val goes up to 1131edo, relating it to the amicable temperament.

Comma: 4802000/4782969

Map: [<1 0 0 -1|, <0 1 2 2|, <0 0 -4 3|]

Wedgie: <<<4 -3 -14 -4 |||

POTE generators: ~3/2 = 702.3728, ~81/70 = 254.6253

EDOs: 75, 80, 94, 99, 212, 292, 311, 410, 1131, 1541b

Badness: 0.001122