Olympic clan: Difference between revisions
m +link to hera |
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* ''[[Hera]]'', {6144/6125, 8019/8000} → [[Porwell family #Hera|Porwell family]] | * ''[[Hera]]'', {6144/6125, 8019/8000} → [[Porwell family #Hera|Porwell family]] | ||
Considered below are | Considered below are olympian, no-5 subgroup temperament, in addition to baffin and sophia. | ||
For the rank-4 olympic temperament, see [[Rank-4 temperament #Olympic (131072/130977)]]. | For the rank-4 olympic temperament, see [[Rank-4 temperament #Olympic (131072/130977)]]. | ||
== | == Olympian == | ||
[[Subgroup]]: 2.3.7.11 | [[Subgroup]]: 2.3.7.11 | ||
[[Comma list]]: 131072/130977 | [[Comma list]]: 131072/130977 | ||
[[ | [[Sval]] [[mapping]]: [{{val| 1 0 0 17 }}, {{val| 0 1 0 -5 }}, {{val| 0 0 1 -2 }}] | ||
: sval mapping generators: ~2, ~3, ~7 | |||
Optimal tuning ([[POTE]]): ~3/2 = 702.0805, ~7/4 = 969.0275 | [[Optimal tuning]] ([[POTE]]): ~3/2 = 702.0805, ~7/4 = 969.0275 | ||
{{Val list|legend=1| 41, 87, 89, 94, 130, 135, 359, 400, 494, 535, 670, 805, 1164, 1299, 1834, 1969, 5102bde, 5237bde, 7206bddee, 10339bbdddeee }} | {{Val list|legend=1| 41, 87, 89, 94, 130, 135, 359, 400, 494, 535, 670, 805, 1164, 1299, 1834, 1969, 5102bde, 5237bde, 7206bddee, 10339bbdddeee }} | ||
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[[Mapping]]: [{{val| 1 0 0 13 }}, {{val| 0 2 0 -7 }}, {{val| 0 0 1 -2 }}] | [[Mapping]]: [{{val| 1 0 0 13 }}, {{val| 0 2 0 -7 }}, {{val| 0 0 1 -2 }}] | ||
: mapping generators: ~2, ~8192/4725, ~5 | |||
Optimal tuning ([[POTE]]): ~8192/4725 = 951.0868, ~5/4 = 386.6183 | [[Optimal tuning]] ([[POTE]]): ~8192/4725 = 951.0868, ~5/4 = 386.6183 | ||
{{Val list|legend=1| 10, 19d, 24, 34, 43, 53, 87, 130, 183, 217, 270, 593, 863, 1133, 1856cd, 2126cd, 2719cd, 2989bcd }} | {{Val list|legend=1| 10, 19d, 24, 34, 43, 53, 87, 130, 183, 217, 270, 593, 863, 1133, 1856cd, 2126cd, 2719cd, 2989bcd }} | ||
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[[Mapping]]: [{{val| 1 0 0 13 -9 }}, {{val| 0 2 0 -7 4 }}, {{val| 0 0 1 -2 4 }}] | [[Mapping]]: [{{val| 1 0 0 13 -9 }}, {{val| 0 2 0 -7 4 }}, {{val| 0 0 1 -2 4 }}] | ||
Optimal tuning ([[POTE]]): ~400/231 = 951.0585, ~5/4 = 386.7912 | [[Optimal tuning]] ([[POTE]]): ~400/231 = 951.0585, ~5/4 = 386.7912 | ||
{{Val list|legend=1| 34, 43, 53, 87, 130, 183, 270, 670, 940, 1210, 2063c }} | {{Val list|legend=1| 34, 43, 53, 87, 130, 183, 270, 670, 940, 1210, 2063c }} | ||
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[[Mapping]]: [{{val| 1 0 2 3 11 }}, {{val| 0 1 0 0 -5 }}, {{val| 0 0 5 -3 6 }}] | [[Mapping]]: [{{val| 1 0 2 3 11 }}, {{val| 0 1 0 0 -5 }}, {{val| 0 0 5 -3 6 }}] | ||
Optimal tuning ([[POTE]]): ~3/2 = 702.3024, ~256/245 = 77.1952 | [[Optimal tuning]] ([[POTE]]): ~3/2 = 702.3024, ~256/245 = 77.1952 | ||
{{Val list|legend=1| 46, 94, 140, 171, 217, 311, 979, 1290 }} | {{Val list|legend=1| 46, 94, 140, 171, 217, 311, 979, 1290 }} | ||