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Unicorn family: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
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== Unicorn ==
== Unicorn ==
Subgroup: 2.3.5
[[Subgroup]]: 2.3.5


[[Comma list]]: 1594323/1562500
[[Comma list]]: 1594323/1562500


[[Mapping]]: [{{val| 1 2 3 }}, {{val| 0 -8 -13 }}]
{{Mapping|legend=1| 1 2 3 | 0 -8 -13 }}


[[POTE generator]]: ~250/243 = 62.458
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~250/243 = 62.458


{{Optimal ET sequence|legend=1| 19, 58, 77, 96, 173, 269 }}
{{Optimal ET sequence|legend=1| 19, 58, 77, 96, 173, 269 }}
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== Septimal unicorn ==
== Septimal unicorn ==
Subgroup: 2.3.5.7
[[Subgroup]]: 2.3.5.7


[[Comma list]]: 126/125, 10976/10935
[[Comma list]]: 126/125, 10976/10935


[[Mapping]]: [{{val| 1 2 3 4 }}, {{val| 0 -8 -13 -23 }}]
{{Mapping|legend=1| 1 2 3 4 | 0 -8 -13 -23 }}


{{Multival|legend=1| 8 13 23 2 14 17 }}
{{Multival|legend=1| 8 13 23 2 14 17 }}


[[POTE generator]]: ~28/27 = 62.278
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~28/27 = 62.278


{{Optimal ET sequence|legend=1| 19, 39d, 58, 77, 135c }}
{{Optimal ET sequence|legend=1| 19, 39d, 58, 77, 135c }}
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Comma list: 126/125, 540/539, 896/891
Comma list: 126/125, 540/539, 896/891


Mapping: [{{val| 1 2 3 4 3 }}, {{val| 0 -8 -13 -23 9 }}]
Mapping: {{mapping| 1 2 3 4 3 | 0 -8 -13 -23 9 }}


POTE generator: ~28/27 = 62.101
Optimal tuning (POTE): ~2 = 1\1, ~28/27 = 62.101


{{Optimal ET sequence|legend=1| 19, 39d, 58 }}
{{Optimal ET sequence|legend=1| 19, 39d, 58 }}
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Comma list: 126/125, 144/143, 196/195, 676/675
Comma list: 126/125, 144/143, 196/195, 676/675


Mapping: [{{val| 1 2 3 4 3 5 }}, {{val| 0 -8 -13 -23 9 -25 }}]
Mapping: {{mapping| 1 2 3 4 3 5 | 0 -8 -13 -23 9 -25 }}


POTE generator: ~28/27 = 62.119
Optimal tuning (POTE): ~2 = 1\1, ~28/27 = 62.119


{{Optimal ET sequence|legend=1| 19, 39df, 58 }}
{{Optimal ET sequence|legend=1| 19, 39df, 58 }}
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Comma list: 126/125, 385/384, 10976/10935
Comma list: 126/125, 385/384, 10976/10935


Mapping: [{{val| 1 2 3 4 2 }}, {{val| 0 -8 -13 -23 28 }}]
Mapping: {{mapping| 1 2 3 4 2 | 0 -8 -13 -23 28 }}


POTE generator: ~28/27 = 62.431
Optimal tuning (POTE): ~2 = 1\1, ~28/27 = 62.431


{{Optimal ET sequence|legend=1| 19, 58e, 77, 96d, 173d }}
{{Optimal ET sequence|legend=1| 19, 58e, 77, 96d, 173d }}
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Comma list: 126/125, 196/195, 385/384, 676/675
Comma list: 126/125, 196/195, 385/384, 676/675


Mapping: [{{val| 1 2 3 4 2 5 }}, {{val| 0 -8 -13 -23 28 -25 }}]
Mapping: {{mapping| 1 2 3 4 2 5 | 0 -8 -13 -23 28 -25 }}


POTE generator: ~28/27 = 62.434
Optimal tuning (POTE): ~2 = 1\1, ~28/27 = 62.434


{{Optimal ET sequence|legend=1| 19, 58e, 77, 96d, 173d }}
{{Optimal ET sequence|legend=1| 19, 58e, 77, 96d, 173d }}
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Comma list: 126/125, 176/175, 10976/10935
Comma list: 126/125, 176/175, 10976/10935


Mapping: [{{val| 1 2 3 4 6 }}, {{val| 0 -8 -13 -23 -49 }}]
Mapping: {{mapping| 1 2 3 4 6 | 0 -8 -13 -23 -49 }}


POTE generator: ~28/27 = 62.196
Optimal tuning (POTE): ~2 = 1\1, ~28/27 = 62.196


{{Optimal ET sequence|legend=1| 58, 77, 135c, 193c, 328cc }}
{{Optimal ET sequence|legend=1| 58, 77, 135c, 193c, 328cc }}
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Comma list: 126/125, 176/175, 196/195, 2200/2197
Comma list: 126/125, 176/175, 196/195, 2200/2197


Mapping: [{{val| 1 2 3 4 6 5 }}, {{val| 0 -8 -13 -23 -49 -25 }}]
Mapping: {{mapping| 1 2 3 4 6 5 | 0 -8 -13 -23 -49 -25 }}


POTE generator: ~28/27 = 62.197
Optimal tuning (POTE): ~2 = 1\1, ~28/27 = 62.197


{{Optimal ET sequence|legend=1| 58, 77, 135c, 193cf, 328ccff }}
{{Optimal ET sequence|legend=1| 58, 77, 135c, 193cf, 328ccff }}
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Comma list: 126/125, 243/242, 5488/5445
Comma list: 126/125, 243/242, 5488/5445


Mapping: [{{val| 2 4 6 8 9 }}, {{val| 0 -8 -13 -23 -20 }}]
Mapping: {{mapping| 2 4 6 8 9 | 0 -8 -13 -23 -20 }}


POTE generator: ~28/27 = 62.292
Optimal tuning (POTE): ~2 = 1\1, ~28/27 = 62.292


{{Optimal ET sequence|legend=1| 58, 96d, 154, 212ce, 366cce }}
{{Optimal ET sequence|legend=1| 58, 96d, 154, 212ce, 366cce }}
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Comma list: 126/125, 196/195, 364/363, 676/675
Comma list: 126/125, 196/195, 364/363, 676/675


Mapping: [{{val| 2 4 6 8 9 10 }}, {{val| 0 -8 -13 -23 -20 -25 }}]
Mapping: {{mapping| 2 4 6 8 9 10 | 0 -8 -13 -23 -20 -25 }}


POTE generator: ~28/27 = 62.301
Optimal tuning (POTE): ~2 = 1\1, ~28/27 = 62.301


{{Optimal ET sequence|legend=1| 58, 96d, 154, 366ccef }}
{{Optimal ET sequence|legend=1| 58, 96d, 154, 366ccef }}
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== Rhinoceros ==
== Rhinoceros ==
Subgroup: 2.3.5.7
[[Subgroup]]: 2.3.5.7


[[Comma list]]: 49/48, 4375/4374
[[Comma list]]: 49/48, 4375/4374


[[Mapping]]: [{{val| 1 2 3 3 }}, {{val| 0 -8 -13 -4 }}]
{{Mapping|legend=1| 1 2 3 3 | 0 -8 -13 -4 }}


{{Multival|legend=1| 8 13 4 2 -16 -27 }}
{{Multival|legend=1| 8 13 4 2 -16 -27 }}


[[POTE generator]]: ~21/20 = 62.920
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~21/20 = 62.920


{{Optimal ET sequence|legend=1| 1c, 19 }}
{{Optimal ET sequence|legend=1| 1c, 19 }}
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Comma list: 49/48, 100/99, 126/121
Comma list: 49/48, 100/99, 126/121


Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -8 -13 -4 -10 }}]
Mapping: {{mapping| 1 2 3 3 4 | 0 -8 -13 -4 -10 }}


POTE generator: ~21/20 = 62.874
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 62.874


{{Optimal ET sequence|legend=1| 1ce, 19 }}
{{Optimal ET sequence|legend=1| 1ce, 19 }}
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Comma list: 49/48, 78/77, 100/99, 126/121
Comma list: 49/48, 78/77, 100/99, 126/121


Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -8 -13 -4 -10 -6 }}]
Mapping: {{mapping| 1 2 3 3 4 4 | 0 -8 -13 -4 -10 -6 }}


POTE generator: ~21/20 = 63.043
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 63.043


{{Optimal ET sequence|legend=1| 1ce, 19 }}
{{Optimal ET sequence|legend=1| 1ce, 19 }}
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[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Unicorn family| ]] <!-- main article -->
[[Category:Unicorn family| ]] <!-- main article -->
[[Category:Unicorn| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Unicorn_family"