Aberschismic temperaments: Difference between revisions

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Update trimot and remove its 5-limit (discussed in tricot family)
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Badness: 0.0348
Badness: 0.0348


= Tricot =
= Trimot =
{{see also|Tricot family}}
{{see also|Tricot family #Trimot }}


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&amp;70 temperament (also known as ''trimot''), tempering out the [[Tricot|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.
The generator for trimot is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Trimot can be described as 53&amp;70 temperament, tempering out the [[Tricot|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.


== 5-limit ==
Comma: {{monzo | 39 -29 3 }} = 68719476736000/68630377364883
POTE generator: ~59049/40960 = 634.012
Map: [&lt;1 0 -13|, &lt;0 3 29|]
Wedgie: &lt;&lt;3 29 39||
EDOs: {{EDOs| 53, 229, 282, 335, 388, 441, 1376, 1817, 2258 }}
Badness: 0.0461
== 7-limit ==
Commas: 2430/2401, 5120/5103
Commas: 2430/2401, 5120/5103