Alphatricot family: Difference between revisions
Naming of trimot (reference thread 101780) |
m Revert to 53 & 229 since the optimum is between 229 and 282 |
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The generator for '''tricot temperament''' is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&70 temperament, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit. There are some mappings for 7-limit extension of this temperament: trimot (53 & 70), trident (53 & | The generator for '''tricot temperament''' is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&70 temperament, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit. There are some mappings for 7-limit extension of this temperament: trimot (53 & 70), trident (53 & 229) and trillium (53 & 441). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads to trimot, [[6144/6125|porwell comma]] (6144/6125) leads to trident, and [[4375/4374|ragisma]] (4375/4374) leads to trillium. | ||
== Tricot == | == Tricot == | ||
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== Trident == | == Trident == | ||
Trident, named by [[Xenllium]] in 2021, can be described as the 53 & | Trident, named by [[Xenllium]] in 2021, can be described as the 53 & 229 temperament. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||