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| Line 2,744: |
Line 2,744: |
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| Badness (Sintel): 1.46 | | Badness (Sintel): 1.46 |
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| == Tridecafifths ==
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| Named by [[Eliora]] in 2023, tridecafifths may be described as the {{nowrap| 89 & 200 }} temperament. It divides the [[3/2|perfect fifth]] into thirteen quartertones, so its [[ploidacot]] is 13-cot. [[289edo]] gives a highly recommendable tuning.
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 32805/32768, {{monzo| -14 -1 -9 13 }}
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| {{Mapping|legend=1| 1 1 7 6 | 0 13 -104 -71 }}
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| : mapping generators: ~2, ~1323/1280
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| [[Optimal tuning]]s:
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| * [[WE]]: ~2 = 1200.1431{{c}}, ~1323/1280 = 53.9838{{c}}
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| : [[error map]]: {{val| +0.143 -0.023 +0.375 -0.816 }}
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| * [[CWE]]: ~2 = 1200.0000{{c}}, ~1323/1280 = 53.9764{{c}}
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| : error map: {{val| 0.000 -0.261 -0.221 -0.421 }}
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| {{Optimal ET sequence|legend=1| 89, 200, 289 }}
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| [[Badness]] (Sintel): 10.9
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 441/440, 32805/32768, 55296000/55240493
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| Mapping: {{mapping| 1 1 7 6 4 | 0 13 -104 -71 -12 }}
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| Optimal tunings:
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| * WE: ~2 = 1200.0311{{c}}, ~33/32 = 53.9766{{c}}
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| * CWE: ~2 = 1200.0000{{c}}, ~33/32 = 53.9750{{c}}
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| {{Optimal ET sequence|legend=0| 89, 200, 289 }}
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| Badness (Sintel): 4.23
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| == Subgroup extensions == | | == Subgroup extensions == |