User:Francium/Miscellaneous rank-2 temperaments (EDT): Difference between revisions

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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

Revision as of 11:33, 14 January 2026

b17 & b263

Subgroup: 3.5.7

Comma list: [-50 16 15⟩

Mapping: [⟨1 5 -2], ⟨0 -30 32]]

POTE generators: ~35/27 = 224.1303

Optimal ET sequence: b17, b89, b106, b123, b140, b157, b297, b454, b1205, b1659

Badness: 6.879

11-limit

Subgroup: 3.5.7.11

Comma list: 129696875/129140163, 1771561/1764735

Mapping: [⟨1 5 -2 -1], ⟨0 -30 32 27]]

POTE generators: ~2187/1925 = 224.1371

Optimal ET sequence: 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: [⟨1 5 -2 -1 12], ⟨0 -30 32 27 -82]]

POTE generator: ~2187/1925 = 224.1659

Optimal ET sequence: 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: [⟨1 5 -2 -1 12 8], ⟨0 -30 32 27 -82 -46]]

POTE generator: ~637/561 = 224.1646

Optimal ET sequence: 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: [⟨1 5 -2 -1 12 8 16], ⟨0 -30 32 27 -82 -46 -113]]

POTE generator: ~65/57 = 224.1770

Optimal ET sequence: b17, b246, b263

Badness: 2.175

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