Hemimean clan: Difference between revisions

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 Badness: 0.019331
+== Tremka ==
+The name "tremka" is initially used for [[No-sevens subgroup temperaments|no-sevens version]] of 50&amp;111 (especially in the 2.3.5.11.13 subgroup), but extending to full 13-limit or higher prime limit does no significant tuning damage, so for that we keep the 2.3.5.11.13 label tremka.
+Subgroup: 2.3.5.7
+[[Comma list]]: 3136/3125, 2125764/2100875
+[[Mapping]]: [{{val|1 -4 -2 -8}}, {{val|0 31 24 60}}]
+{{Multival|legend=1|31 24 60 -34 8 72}}
+[[POTE generator]]: ~4375/3888 = 216.173
+{{Val list|legend=1| 50, 111, 161, 272 }}
+[[Badness]]: 0.179925
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 540/539, 3136/3125, 35937/35840
+Mapping: [{{val|1 -4 -2 -8 4}}, {{val|0 31 24 60 -3}}]
+POTE generator: ~112/99 = 216.168
+Optimal GPV sequence: {{Val list| 50, 111, 161, 272, 433c }}
+Badness: 0.068825
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 351/350, 540/539, 847/845, 3136/3125
+Mapping: [{{val|1 -4 -2 -8 4 1}}, {{val|0 31 24 60 -3 15}}]
+POTE generator: ~112/99 = 216.172
+Optimal GPV sequence: {{Val list| 50, 111, 161, 272 }}
+Badness: 0.036070
+=== 17-limit ===
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 351/350, 540/539, 561/560, 847/845, 1089/1088
+Mapping: [{{val|1 -4 -2 -8 4 1 -6}}, {{val|0 31 24 60 -3 15 56}}]
+POTE generator: ~17/15 = 216.172
+Optimal GPV sequence: {{Val list| 50, 111, 161, 272 }}
+Badness: 0.022528
+=== 19-limit ===
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 324/323, 351/350, 456/455, 476/455, 495/494, 540/539
+Mapping: [{{val|1 -4 -2 -8 4 1 -6 -8}}, {{val|0 31 24 60 -3 15 56 68}}]
+POTE generator: ~17/15 = 216.170
+Optimal GPV sequence: {{Val list| 50, 111, 161, 272h, 433cfh, 705ccdffhh }}
+Badness: 0.016900
 == Undetrita ==