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| == Gorgo == | | == Gorgo == |
| In the 5-limit, gorgo tempers out the laconic comma, [[2187/2000]], which is the difference between three [[10/9]]'s and a [[3/2]]. Although a higher-error temperament, it does pop up enough in the low-numbered edos to be useful, most notably in [[16edo]] and [[21edo]]. The only 7-limit extension that makes any sense to use is to add the gamelisma to the comma list.
| | : ''For the 5-limit version, see [[Syntonic–diatonic equivalence continuum #Laconic]].'' |
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| === 5-limit (laconic) ===
| | Gorgo can be described as 16 & 21. It tempers the generator of ~8/7 together with ~10/9. |
| [[Subgroup]]: 2.3.5
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| [[Comma list]]: 2187/2000
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| {{Mapping|legend=1| 1 1 1 | 0 3 7 }}
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| {{Multival|legend=1| 3 7 4 }}
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| [[Optimal tuning]]s:
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| * [[CTE]]: ~2 = 1200.000, ~8/7 = 228.700
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| : [[error map]]: {{val| 0.000 -15.856 +14.584 }}
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| * [[POTE]]: ~2 = 1200.000, ~10/9 = 227.426
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| : error map: {{val| 0.000 -19.679 +5.664 }}
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| {{Optimal ET sequence|legend=1| 5, 11c, 16, 21, 37b }}
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| [[Badness]] (Smith): 0.161799
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| === 7-limit ===
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| [[Subgroup]]: 2.3.5.7 | | [[Subgroup]]: 2.3.5.7 |
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