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Starling temperaments: Difference between revisions

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m Cleanup (5/6)
m Cleanup (6/6)
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= Cypress =
= Cypress =
== 5-limit ==
== 5-limit ==
Subgroup: 2.3.5
[[Comma list]]: 258280326/244140625
[[Comma list]]: 258280326/244140625


[[Mapping]]: [<1 7 10|, <0 -12 -17|]
[[Mapping]]: [{{val| 1 7 10 }}, {{val| 0 -12 -17 }}]


[[POTE generator]]: ~4374/3125 = 541.726
[[POTE generator]]: ~4374/3125 = 541.726
Line 758: Line 761:


== 7-limit ==
== 7-limit ==
Subgroup: 2.3.5.7
[[Comma list]]: 126/125, 19683/19208
[[Comma list]]: 126/125, 19683/19208


[[Mapping]]: [<1 7 10 15|, <0 -12 -17 -27|]
[[Mapping]]: [{{val| 1 7 10 15 }}, {{val| 0 -12 -17 -27 }}]


{{Multival|legend=1| 12 17 27 -1 9 15 }}
{{Multival|legend=1| 12 17 27 -1 9 15 }}
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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 99/98, 126/125, 243/242
Comma list: 99/98, 126/125, 243/242


Mapping: [<1 7 10 15 17|, <0 -12 -17 -27 -30|]
Mapping: [{{val| 1 7 10 15 17 }}, {{val| 0 -12 -17 -27 -30 }}]


POTE generator: ~15/11 = 541.772
POTE generator: ~15/11 = 541.772
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== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 66/65, 99/98. 126/125, 243/242
Comma list: 66/65, 99/98. 126/125, 243/242


Mapping: [<1 7 10 15 17 15|, <0 -12 -17 -27 -30 -25|]
Mapping: [{{val| 1 7 10 15 17 15 }}, {{val| 0 -12 -17 -27 -30 -25 }}]


POTE generator: ~15/11 = 541.778
POTE generator: ~15/11 = 541.778
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= Bisemidim =
= Bisemidim =
Subgroup: 2.3.5.7
[[Comma list]]: 126/125, 118098/117649
[[Comma list]]: 126/125, 118098/117649


[[Mapping]]: [<2 1 2 2|, <0 9 11 15|]
[[Mapping]]: [{{val| 2 1 2 2 }}, {{val| 0 9 11 15 }}]


{{Multival|legend=1| 18 22 30 -7 -3 8 }}
{{Multival|legend=1| 18 22 30 -7 -3 8 }}
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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 126/125, 540/539, 1344/1331
Comma list: 126/125, 540/539, 1344/1331


Mapping: [<2 1 2 2 5|, <0 9 11 15 8|]
Mapping: [{{val| 2 1 2 2 5 }}, {{val| 0 9 11 15 8 }}]


POTE generator: ~35/27 = 455.373
POTE generator: ~35/27 = 455.373
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== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 144/143, 196/195, 364/363
Comma list: 126/125, 144/143, 196/195, 364/363


Mapping: [<2 1 2 2 5 5|, <0 9 11 15 8 10|]
Mapping: [{{val| 2 1 2 2 5 5 }}, {{val| 0 9 11 15 8 10 }}]


POTE generator: ~35/27 = 455.347
POTE generator: ~35/27 = 455.347
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= Vines =
= Vines =
Subgroup: 2.3.5.7
[[Comma list]]: 126/125, 84035/82944
[[Comma list]]: 126/125, 84035/82944


[[Mapping]]: [<2 7 8 8|, <0 -8 -7 -5|]
[[Mapping]]: [{{val| 2 7 8 8 }}, {{val| 0 -8 -7 -5 }}]


[[POTE generator]]: ~6/5 = 312.602
[[POTE generator]]: ~6/5 = 312.602
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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 126/125, 385/384, 2401/2376
Comma list: 126/125, 385/384, 2401/2376


Mapping: [<2 7 8 8 5|, <0 -8 -7 -5 4|]
Mapping: [{{val| 2 7 8 8 5 }}, {{val| 0 -8 -7 -5 4 }}]


POTE generator: ~6/5 = 312.601
POTE generator: ~6/5 = 312.601
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== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 196/195, 364/363, 385/384
Comma list: 126/125, 196/195, 364/363, 385/384


Mapping: [<2 7 8 8 5 5|, <0 -8 -7 -5 4 5|]
Mapping: [{{val| 2 7 8 8 5 5 }}, {{val| 0 -8 -7 -5 4 5 }}]


POTE generator: ~6/5 = 312.564
POTE generator: ~6/5 = 312.564
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= Kumonga =
= Kumonga =
== 5-limit ==
== 5-limit ==
Subgroup: 2.3.5
[[Comma list]]: 1289945088/1220703125
[[Comma list]]: 1289945088/1220703125


[[Mapping]]: [<1 4 4|, <0 -13 -9|]
[[Mapping]]: [{{val| 1 4 4 }}, {{val| 0 -13 -9 }}]


[[POTE generator]]: ~144/125 = 222.912
[[POTE generator]]: ~144/125 = 222.912
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== 7-limit ==
== 7-limit ==
Subgroup: 2.3.5.7
[[Comma list]]: 126/125, 12288/12005
[[Comma list]]: 126/125, 12288/12005


[[Mapping]]: [<1 4 4 3|, <0 -13 -9 -1|]
[[Mapping]]: [{{val| 1 4 4 3 }}, {{val| 0 -13 -9 -1 }}]


{{Multival|legend=1| 13 9 1 -16 -35 -23 }}
{{Multival|legend=1| 13 9 1 -16 -35 -23 }}
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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 126/125, 176/175, 864/847
Comma list: 126/125, 176/175, 864/847


Mapping: [<1 4 4 3 7|, <0 -13 -9 -1 -19|]
Mapping: [{{val| 1 4 4 3 7 }}, {{val| 0 -13 -9 -1 -19 }}]


POTE generator: ~8/7 = 222.898
POTE generator: ~8/7 = 222.898
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== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 78/77, 126/125, 144/143, 176/175
Comma list: 78/77, 126/125, 144/143, 176/175


Mapping: [<1 4 4 3 7 5|, <0 -13 -9 -1 -19 -7|]
Mapping: [{{val| 1 4 4 3 7 5 }}, {{val| 0 -13 -9 -1 -19 -7 }}]


POTE generator: ~8/7 = 222.961
POTE generator: ~8/7 = 222.961
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= Amigo =
= Amigo =
Subgroup: 2.3.5.7
[[Comma list]]: 126/125, 2097152/2083725
[[Comma list]]: 126/125, 2097152/2083725


[[Mapping]]: [<1 9 3 -10|, <0 -11 -1 19|]
[[Mapping]]: [{{val| 1 9 3 -10 }}, {{val| 0 -11 -1 19 }}]


[[POTE generator]]: ~5/4 = 391.094
[[POTE generator]]: ~5/4 = 391.094
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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 126/125, 176/175, 16384/16335
Comma list: 126/125, 176/175, 16384/16335


Mapping: [<1 9 3 -10 -8|, <0 -11 -1 19 17|]
Mapping: [{{val| 1 9 3 -10 -8 }}, {{val| 0 -11 -1 19 17 }}]


POTE generator: ~5/4 = 391.075
POTE generator: ~5/4 = 391.075
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== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 169/168, 176/175, 364/363
Comma list: 126/125, 169/168, 176/175, 364/363


Mapping: [<1 9 3 -10 -8 1|, <0 -11 -1 19 17 4|]
Mapping: [{{val| 1 9 3 -10 -8 1 }}, {{val| 0 -11 -1 19 17 4 }}]


POTE generator: ~5/4 = 391.072
POTE generator: ~5/4 = 391.072
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= Oolong =
= Oolong =
{{main|Oolong}}
{{main|Oolong}}
== 5-limit ==
== 5-limit ==
Subgroup: 2.3.5
[[Comma list]]: [11 18 -17>
[[Comma list]]: [11 18 -17>


[[Mapping]]: [<1 6 7|, <0 -17 -18|]
[[Mapping]]: [{{val| 1 6 7 }}, {{val| 0 -17 -18 }}]


[[POTE generator]]: ~6/5 = 311.6942
[[POTE generator]]: ~6/5 = 311.6942
Line 953: Line 1,008:
[[Badness]]: 0.9428
[[Badness]]: 0.9428


==7-limit==
== 7-limit ==
 
Subgroup: 2.3.5.7
 
[[Comma list]]: 126/125, 117649/116640
[[Comma list]]: 126/125, 117649/116640


[[Mapping]]: [&lt;1 6 7 8|, &lt;0 -17 -18 -20|]
[[Mapping]]: [{{val| 1 6 7 8 }}, {{val| 0 -17 -18 -20 }}]


[[POTE generator]]: ~6/5 = 311.6793
[[POTE generator]]: ~6/5 = 311.6793
Line 965: Line 1,023:


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 126/125, 176/175, 26411/26244
Comma list: 126/125, 176/175, 26411/26244


Mapping: [<1 6 7 8 18|, <0 -17 -18 -20 -56|]
Mapping: [{{val| 1 6 7 8 18 }}, {{val| 0 -17 -18 -20 -56 }}]


POTE generator: ~6/5 = 311.5873
POTE generator: ~6/5 = 311.5873
Line 976: Line 1,037:


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 176/175, 196/195, 13013/12960
Comma list: 126/125, 176/175, 196/195, 13013/12960


Mapping: [<1 6 7 8 18 5|, <0 -17 -18 -20 -56 -5|]
Mapping: [{{val| 1 6 7 8 18 5 }}, {{val| 0 -17 -18 -20 -56 -5 }}]


POTE generator: ~6/5 = 311.5908
POTE generator: ~6/5 = 311.5908
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