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| Line 324: |
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| Badness: 0.028920 | | Badness: 0.028920 |
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| == Thuja ==
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| : ''For the 5-limit version of this temperament, see [[High badness temperaments #Thuja]].''
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 126/125, 65536/64827
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| {{Mapping|legend=1| 1 -4 0 7 | 0 12 5 -9 }}
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| {{Multival|legend=1| 12 5 -9 -20 -48 -35 }}
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| [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~175/128 = 558.605
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| {{Optimal ET sequence|legend=1| 15, 43, 58 }}
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| [[Badness]]: 0.088441
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 126/125, 176/175, 1344/1331
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| Mapping: {{mapping| 1 -4 0 7 3 | 0 12 5 -9 1 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 558.620
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| {{Optimal ET sequence|legend=1| 15, 43, 58 }}
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| Badness: 0.033078
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| === 13-limit ===
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 126/125, 144/143, 176/175, 364/363
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| Mapping: {{mapping| 1 -4 0 7 3 -7 | 0 12 5 -9 1 23 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 558.589
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| {{Optimal ET sequence|legend=1| 15, 43, 58 }}
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| Badness: 0.022838
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 126/125, 144/143, 176/175, 221/220, 256/255
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| Mapping: {{mapping| 1 -4 0 7 3 -7 12 | 0 12 5 -9 1 23 -17 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 558.509
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| {{Optimal ET sequence|legend=1| 15, 43, 58 }}
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| Badness: 0.022293
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| === 19-limit ===
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| Subgroup: 2.3.5.7.11.13.17.19
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| Comma list: 96/95, 126/125, 144/143, 153/152, 176/175, 221/220
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| Mapping: {{mapping| 1 -4 0 7 3 -7 12 1 | 0 12 5 -9 1 23 -17 7 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 558.504
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| {{Optimal ET sequence|legend=1| 15, 43, 58h }}
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| Badness: 0.018938
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| === 23-limit ===
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| Subgroup: 2.3.5.7.11.13.17.19.23
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| Comma list: 96/95, 126/125, 144/143, 153/152, 176/175, 221/220, 231/230
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| Mapping: {{mapping| 1 -4 0 7 3 -7 12 1 5 | 0 12 5 -9 1 23 -17 7 -1 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 558.522
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| {{Optimal ET sequence|legend=1| 15, 43, 58hi }}
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| Badness: 0.016581
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| === 29-limit ===
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| The ''raison d'etre'' of this entry is the simple and accurate approximation of factor twenty-nine, the 2.5.11.21.29 subgroup being of especially good accuracy and simplicity.
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| Subgroup: 2.3.5.7.11.13.17.19.23.29
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| Comma list: 96/95, 116/115, 126/125, 144/143, 153/152, 176/175, 221/220, 231/230
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| Mapping: {{mapping| 1 -4 0 7 3 -7 12 1 5 3 | 0 12 5 -9 1 23 -17 7 -1 4 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 558.520
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| {{Optimal ET sequence|legend=1| 15, 43, 58hi }}
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| Badness: 0.013762
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| == Cypress == | | == Cypress == |