Alphatricot

The generator for tricot temperament is the real cube root of third harmonic, 3^1/3, tuned between 63/44 and 13/9. This temperament can be described as 53&70 temperament, tempering out the tricot comma, [39 -29 3⟩ in the 5-limit. There are some mappings for 7-limit extension of this temperament: trimot (53&70), trident (53&229, named by Xenllium) and trillium (53&441, named by Xenllium). Tempering out hemifamity comma (5120/5103) leads trimot (supported by 53edo and 70edo), porwell comma (6144/6125) leads trident (supported by 53, 176, and 229 edos), and ragisma (4375/4374) leads trillium (supported by 53, 441, 494, 935, and 1429 edos).

See Tricot family or Hemifamity temperaments for more infomation.