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| == Temperament == | | == Temperament == |
| [[Tempering out]] this comma leads to the 5-limit version of the [[ennealimmal]] temperament, which remarkably splits the octave into nine equal parts. Since the [[7-limit]] temperament (definable by tempering out both [[2401/2400]] and [[4375/4374]], the two smallest superparticular ratios in the 7-limit) is far more natural to think of than the 5-limit, the 5-limit temperament is only provided below for bookkeeping purposes. | | [[Tempering out]] this comma leads to the 5-limit version of the [[ennealimmal]] temperament, which remarkably splits the octave into nine equal parts. |
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| === Ennealimmal ===
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| : ''For the 7-limit temperament, see [[Septiennealimmal clan #Ennealimmal]].''
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| [[Subgroup]]: 2.3.5
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| [[Comma list]]: {{monzo| 1 -27 18 }}
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| {{Mapping|legend=1| 9 1 1 | 0 2 3 }}
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| : mapping generators: ~27/25, ~5/3
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| [[Optimal tuning]]s:
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| * [[WE]]: ~27/25 = 133.3333{{c}}, ~5/3 = 884.3190{{c}}
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| : [[error map]]: {{val| -0.000 +0.016 -0.023 }}
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| * [[CWE]]: ~27/25 = 133.3333{{c}}, ~5/3 = 884.3191{{c}}
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| : error map: {{val| 0.000 +0.017 -0.023 }}
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| {{Optimal ET sequence|legend=1| 27, 45, 72, 99, 171, 441, 612, 1665, 2277, 2889, 3501, 6390, 16281, 22671, 29061c }}
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| [[Badness]] (Sintel): 0.403
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| == Etymology == | | == Etymology == |