Very high accuracy temperaments: Difference between revisions
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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Optimal tuning (CTE): ~36756909/33554432 = 157.8240 | Optimal tuning (CTE): ~36756909/33554432 = 157.8240 | ||
{{Optimal ET sequence|legend=1|38, 403, 441, 479, 844, 2684, 3125, 3566, 4007, 6691}}, ... | |||
== Fortune == | == Fortune == | ||
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Optimal tuning (CTE): ~3/2 = 701.9536 | Optimal tuning (CTE): ~3/2 = 701.9536 | ||
{{Optimal ET sequence|legend=1|41, 2460, 4961, 7421, 9881}}, ... | |||
== Revopent == | == Revopent == | ||
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Optimal tuning (CTE): ~24576/16807 = 657.792 | Optimal tuning (CTE): ~24576/16807 = 657.792 | ||
{{Optimal ET sequence|legend=1|135, 571, 706, 1277, 1848, 3125}}, ... | |||
= Rank-3 temperaments = | = Rank-3 temperaments = | ||
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Mapping: [{{val| 1 0 9 -3 }}, {{val| 0 1 8 0 }}, {{val| 0 0 10 -3 }}] | Mapping: [{{val| 1 0 9 -3 }}, {{val| 0 1 8 0 }}, {{val| 0 0 10 -3 }}] | ||
{{Optimal ET sequence|legend=1| 171, 935, 1106, 1277, 2289, 2460, 3395, 3566, 3737}} | |||
Badness: 0.000281 | Badness: 0.000281 | ||
| Line 290: | Line 290: | ||
Mapping: [{{val| 1 0 0 0 }}, {{val| 0 1 7 5 }}, {{val| 0 0 12 7 }}] | Mapping: [{{val| 1 0 0 0 }}, {{val| 0 1 7 5 }}, {{val| 0 0 12 7 }}] | ||
{{Optimal ET sequence|legend=1| 171, 1547, 1677, 1718, 1848, 2019, 3395, 3566, 3737}} | |||
Badness: 0.000135 | Badness: 0.000135 | ||
| Line 301: | Line 301: | ||
Mapping: [{{val| 1 0 3 11 }}, {{val| 0 1 4 9 }}, {{val| 0 0 5 16 }}] | Mapping: [{{val| 1 0 3 11 }}, {{val| 0 1 4 9 }}, {{val| 0 0 5 16 }}] | ||
{{Optimal ET sequence|legend=1| 171, 270, 441, 612, 783, 4802, 4973, 5144}} | |||
Badness: 0.000297 | Badness: 0.000297 | ||
| Line 312: | Line 312: | ||
Mapping: [{{val| 1 3 0 1 }}, {{val| 0 11 0 4 }}, {{val| 0 0 1 1 }}] | Mapping: [{{val| 1 3 0 1 }}, {{val| 0 11 0 4 }}, {{val| 0 0 1 1 }}] | ||
{{Optimal ET sequence|legend=1| 171, 1407, 1547, 1578, 1718, 2783, 2954, 3125, 3296}} | |||
Badness: 0.000114 | Badness: 0.000114 | ||
| Line 334: | Line 334: | ||
Mapping: [{{val| 1 0 13 16 }}, {{val| 0 1 10 12 }}, {{val| 0 0 14 17 }}] | Mapping: [{{val| 1 0 13 16 }}, {{val| 0 1 10 12 }}, {{val| 0 0 14 17 }}] | ||
{{Optimal ET sequence|legend=1| 171, 1236, 1407, 3566, 3737, 3908, 4802, 4973, 8539, 8710}} | |||
Badness: 0.000223 | Badness: 0.000223 | ||
| Line 367: | Line 367: | ||
Mapping: [{{val| 1 0 9 7 }}, {{val| 0 1 3 3 }}, {{val| 0 0 23 18 }}] | Mapping: [{{val| 1 0 9 7 }}, {{val| 0 1 3 3 }}, {{val| 0 0 23 18 }}] | ||
{{Optimal ET sequence|legend=1| 171, 1547, 4802, 4973, 5144, 6520, 6691, 6862, 11493, 11664, 11835, 18184, 18355, 18526, 25046, 30019, 30190, 48545}} | |||
Badness: 0.000114 | Badness: 0.000114 | ||
| Line 378: | Line 378: | ||
Mapping: [{{val| 1 0 1 5 }}, {{val| 0 1 7 -2 }}, {{val| 0 0 10 -1 }}] | Mapping: [{{val| 1 0 1 5 }}, {{val| 0 1 7 -2 }}, {{val| 0 0 10 -1 }}] | ||
{{Optimal ET sequence|legend=1| 441, 1848, 3125, 3566, 4973, 6691, 8098, 8539, 9816, 11664, 14789, 15230, 18355, 21480, 30019, 33144, 39835, 51499}} | |||
Badness: 0.000263 | Badness: 0.000263 | ||
| Line 389: | Line 389: | ||
Mapping: [{{val| 1 0 0 -11 }}, {{val| 0 1 -1 6 }}, {{val| 0 0 10 11 }}] | Mapping: [{{val| 1 0 0 -11 }}, {{val| 0 1 -1 6 }}, {{val| 0 0 10 11 }}] | ||
{{Optimal ET sequence|legend=1| 11664, 21480, 33144, 36881, 48545, 54624, 70025, 81689, 91505, 103169}} | |||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||