Aberschismic temperaments: Difference between revisions
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[[Leapday]] tempers out {{monzo|31 -21 1}} (trisayo) in the 5-limit. This temperament can be described as 29&46 temperament, which tempers out the hemifamity and 686/675 (senga). Alternative extension [[Porwell temperaments #Polypyth|polypyth]] (46&121) tempers out the same 5-limit comma as the leapday, but with the porwell (6144/6125) rather than the hemifamity tempered out. | [[Leapday]] tempers out {{monzo|31 -21 1}} (trisayo) in the 5-limit. This temperament can be described as 29&46 temperament, which tempers out the hemifamity and 686/675 (senga). Alternative extension [[Porwell temperaments #Polypyth|polypyth]] (46&121) tempers out the same 5-limit comma as the leapday, but with the porwell (6144/6125) rather than the hemifamity tempered out. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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{{see also| Tricot family }} | {{see also| Tricot family }} | ||
The generator for tricot is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot can be described as 53&70 temperament (also called as "trimot | The generator for tricot is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot can be described as 53&70 temperament (also called as "trimot", as confirmed by the data from [http://x31eq.com/cgi-bin/rt.cgi?ets=53_17c&limit=7 x31eq]), tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit, 2430/2401 (nuwell comma) and 5120/5103 in the 7-limit, 99/98 and 121/120 in the 11-limit, 169/168, 352/351, 640/637, and 729/728 in the 13-limit. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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[[Mapping]]: [{{val|1 6 19 -7}}, {{val|0 -9 -34 20}}] | [[Mapping]]: [{{val|1 6 19 -7}}, {{val|0 -9 -34 20}}] | ||
{{Multival|legend=1| 9 34 -20 33 -57 -142 }} | |||
[[POTE generator]]: ~1728/1225 = 588.582 | [[POTE generator]]: ~1728/1225 = 588.582 | ||