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&amp;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&amp;70), ''trident'' (53&amp;229, named by [[User:Xenllium|Xenllium]]) and ''trillium'' (53&amp;441, named by [[User:Xenllium|Xenllium]]). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads trimot (supported by 53edo and 70edo), [[6144/6125|porwell comma]] (6144/6125) leads trident (supported by 53, 176, 229, 282, and 511 edos), and [[4375/4374|ragisma]] (4375/4374) leads trillium (supported by 53, 441, 494, 935, and 1429 edos).
+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, 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&amp;70), ''trident'' (53&amp;229, named by [[User:Xenllium|Xenllium]]) and ''trillium'' (53&amp;441, named by [[User:Xenllium|Xenllium]]). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads trimot (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).
 See [[Hemifamity_temperaments#Tricot|Hemifamity temperaments]] for more infomation.
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 Badness: 0.0548
+== Tritricot (159&amp;282) ==
+Commas: 250047/250000, 11785390260224/11767897353375
+POTE generator: ~100352/91125 = 165.9837
+Map: [&lt;3 6 19 30|, &lt;0 -3 -29 -52|]
+Wedgie: &lt;&lt;9 87 156 117 222 118||
+EDOs: {{EDOs| 159, 282, 441, 2487, 2928, 3369 }}
+Badness: 0.0861
+=== 11-limit ===
+Commas: 4000/3993, 166698/166375, 200704/200475
+POTE generator: ~11/10 = 165.9835
+Map: [&lt;3 6 19 30 22|, &lt;0 -3 -29 -52 -28|]
+EDOs: {{EDOs| 159, 282, 441 }}
+Badness: 0.0740
+=== 13-limit ===
+Commas: 1575/1573, 2080/2079, 34398/34375, 43904/43875
+POTE generator: ~11/10 = 165.9842
+Map: [&lt;3 6 19 30 22 36|, &lt;0 -3 -29 -52 -28 -60|]
+EDOs: {{EDOs| 159, 282, 441 }}
+Badness: 0.0356
+=== 17-limit ===
+Commas: 936/935, 1575/1573, 1701/1700, 2025/2023, 8624/8619
+POTE generator: ~11/10 = 165.9805
+Map: [&lt;3 6 19 30 22 36 16|, &lt;0 -3 -29 -52 -28 -60 -9|]
+EDOs: {{EDOs| 159, 282, 441 }}
+Badness: 0.0260
 [[Category:Temperament]]