Alphatricot family: Difference between revisions
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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|tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit. There are some mappings for 7-limit extension of this temperament: | 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|tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit. There are some mappings for 7-limit extension of this temperament: septimal tricot (53&70, also known as ''trimot''), trident (53&229) and trillium (53&441). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads septimal tricot (supported by 53edo and 70edo), [[6144/6125|porwell comma]] (6144/6125) leads trident (supported by 53, 176, and 229 edos), and [[4375/4374|ragisma]] (4375/4374) leads trillium (supported by 53, 441, 494, 935, and 1429 edos). | ||
= Tricot = | = Tricot = | ||
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[[Badness]]: 0.046093 | [[Badness]]: 0.046093 | ||
= Trimot = | == 7-limit (aka Trimot) == | ||
{{see also|Hemifamity temperaments}} | {{see also|Hemifamity temperaments #Tricot}} | ||
[[Comma list]]: 2430/2401, 5120/5103 | [[Comma list]]: 2430/2401, 5120/5103 | ||
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Badness: 0.046758 | Badness: 0.046758 | ||
== 13-limit == | === 13-limit === | ||
Comma list: 2080/2079, 4096/4095, 4375/4374, 78125/78078 | Comma list: 2080/2079, 4096/4095, 4375/4374, 78125/78078 | ||