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| Line 270: |
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| Badness (Sintel): 1.29 | | Badness (Sintel): 1.29 |
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| === French decimal ===
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| French decimal is conceived upon the fact that 1789edo has an excellent 5/4, and uses it as the generator. This rings particularly true for the French attempts to decimalize a lot more things than we are used to today. Using the maximal evenness method of finding rank-2 temperaments, a 1525 & 1789 temperament is obtained.
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| [[Subgroup]]: 2.5.7
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| [[Comma list]]: {{monzo| 372 -159 -1 }}
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| {{Mapping|legend=2| 1 0 372 | 0 1 -159 }}
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| : mapping generators: ~2, ~5
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| [[Optimal tuning]]s:
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| * [[WE]]: ~2 = 1199.9901{{c}}, ~5/4 = 386.3562{{c}}
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| : [[error map]]: {{val| -0.010 +0.023 +0.000 }}
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| * [[CWE]]: ~2 = 1200.0000{{c}}, ~5/4 = 386.3595{{c}}
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| : error map: {{val| 0.000 +0.046 +0.019 }}
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| {{Optimal ET sequence|legend=1| 205, 264, 733, 997, 2258, 3255, 7507, 10762 }}
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| [[Badness]] (Sintel): 148
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| ==== 2.5.7.11 subgroup ====
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| Subgroup: 2.5.7.11
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| Comma list: {{monzo| -49 8 17 -5 }}, {{monzo| 45 -27 10 -3 }}
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| Subgroup-val mapping: {{mapping| 1 0 372 1255 | 0 1 -159 -539 }}
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| Optimal tunings:
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| * WE: ~2 = 1200.0130{{c}}, ~5/4 = 386.3653{{c}}
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| * CWE: ~2 = 1200.0000{{c}}, ~5/4 = 386.3611{{c}}
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| {{Optimal ET sequence|legend=0| 264, 997e, 1261e, 1525, 1789 }}
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| Badness (Sintel): 52.2
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| ==== 2.5.7.11.13 subgroup ====
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| Subgroup: 2.5.7.11.13
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| Comma basis: 28824005/28792192, 200126927/200000000, 6106906624/6103515625
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| Subgroup-val mapping: {{mapping| 1 0 372 1255 -398 | 0 1 -159 -539 173 }}
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| Optimal tunings:
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| * WE: ~2 = 1200.0137{{c}}, ~5/4 = 386.3655{{c}}
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| * CWE: ~2 = 1200.0000{{c}}, ~5/4 = 386.3611{{c}}
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| {{Optimal ET sequence|legend=0| 261, 1261e, 1525, 1789 }}
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| Badness (Sintel): 10.5
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| === Bastille === | | === Bastille === |