User:Francium/Miscellaneous rank-2 temperaments (EDT): Difference between revisions
Created page with "== b17 & b263 == Subgroup: 3.5.7 Comma list: {{monzo|-50 16 15}} Mapping: [{{val|1 5 -2}}, {{val|0 -30 32}}] POTE generators: ~35/27 = 224.1303 {{Optimal ET sequence|legend=1|b17, b89, b106, b123, b140, b157, b297, b454, b1205, b1659}} Badness: 6.879" |
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Badness: 6.879 | Badness: 6.879 | ||
=== 11-limit === | |||
Subgroup: 3.5.7.11 | |||
Comma list: 129696875/129140163, 1771561/1764735 | |||
Mapping: [{{val|1 5 -2 -1}}, {{val|0 -30 32 27}}] | |||
POTE generators: ~2187/1925 = 224.1371 | |||
{{Optimal ET sequence|legend=1|b17, b229, b246, b263, b280, b297}} | |||
Badness: 2.809 | |||
=== 13-limit === | |||
Subgroup: 3.5.7.11.13 | |||
Comma list: 1575/1573, 408375/405769, 129696875/129140163 | |||
Mapping: [{{val|1 5 -2 -1 12}}, {{val|0 -30 32 27 -82}}] | |||
POTE generator: ~2187/1925 = 224.1659 | |||
{{Optimal ET sequence|legend=1|b17, b229f, b246, b263, b280, b543}} | |||
Badness: 3.569 | |||
=== 17-limit === | |||
Subgroup: 3.5.7.11.13.17 | |||
Comma list: 1575/1573, 2025/2023, 111537/111475, 257125/255879 | |||
Mapping: [{{val|1 5 -2 -1 12 8}}, {{val|0 -30 32 27 -82 -46}}] | |||
POTE generator: ~637/561 = 224.1646 | |||
{{Optimal ET sequence|legend=1|b17, b229fg, b246, b263, b280}} | |||
Badness: 1.935 | |||
=== 19-limit === | |||
Subgroup: 3.5.7.11.13.17.19 | |||
Comma list: 1575/1573, 935/931, 2025/2023, 125125/124659, 3553/3549 | |||
Mapping: [{{val|1 5 -2 -1 12 8 16}}, {{val|0 -30 32 27 -82 -46 -113}}] | |||
POTE generator: ~65/57 = 224.1770 | |||
{{Optimal ET sequence|legend=1|b17, b246, b263}} | |||
Badness: 2.175 | |||
== b43 & b83 == | |||
Subgroup: 3.5.7 | |||
Comma list: {{monzo|-11 -13 17}} | |||
Mapping: [{{val|1 7 6}}, {{val|0 -17 -13}}] | |||
POTE generator: ~3375/2401 = 619.1941 | |||
{{Optimal ET sequence|legend=1|b34ccd, b37c, b40, b43}} | |||
Badness: 20.569 | |||
=== 11-limit === | |||
Subgroup: 3.5.7.11 | |||
Comma list: 15309/15125, 63412811/61509375 | |||
Mapping: [{{val|1 7 6 -4}}, {{val|0 -17 -13 19}}] | |||
POTE generator: ~3375/2401 = 619.0265 | |||
{{Optimal ET sequence|legend=1|b40, b43, b126, b169, b212d}} | |||
Badness: 5.350 | |||
=== 13-limit === | |||
Subgroup: 3.5.7.11.13 | |||
Comma list: 637/625, 11011/10935, 16807/16731 | |||
Mapping: [{{val|1 7 6 -4 16}}, {{val|0 -17 -13 19 -42}}] | |||
POTE generator: ~351/245 = 618.9142 | |||
{{Optimal ET sequence|legend=1|b40f, b43, b83, b126}} | |||
Badness: 3.594 | |||
=== 17-limit === | |||
Subgroup: 3.5.7.11.13.17 | |||
Comma list: 429/425, 833/825, 6561/6545, 8619/8575 | |||
Mapping: [{{val|1 7 6 -4 16 -1}}, {{val|0 -17 -13 19 -42 11}}] | |||
POTE generator: ~351/245 = 618.9098 | |||
{{Optimal ET sequence|legend=1|b40f, b43, b83, b126}} | |||
Badness: 2.366 | |||