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| The Laconic family [[tempering_out|tempers out]] the [[Laconic_comma|Laconic comma]], 2187/2000, which is the difference between three [[10/9|10/9]]'s and a [[3/2|3/2]]. Although a higher-error temperament, it does pop up enough in the low-numbered EDOs to be useful, most notably in 16-EDO and 21-EDO. The only 7-limit extension that makes any sense to use is [[Gorgo|gorgo]], which also tempers out 1029/1024.
| | #redirect [[Syntonic–diatonic equivalence continuum #Laconic]] |
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| =Laconic=
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| Comma: 2187/2000
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| [[POTE_generator|POTE generator]]: ~10/9 = 227.426
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| Map: [<1 1 1|, <0 3 7|>
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| [[EDO|EDO]]s: [[5edo|5]], [[16edo|16]], [[21edo|21]], [[37edo|37]]b
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| [[Badness|Badness]]: 0.1618
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| ==Gorgo==
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| Commas: 36/35, 1029/1024
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| POTE generator: ~8/7 = 228.334
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| Map: [<1 1 1 3|, <0 3 7 -1|>
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| EDOs: 5, 16, 21, 37b
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| Badness: 0.0607
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| ==11-limit==
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| Commas: 36/35, 45/44, 1029/1024
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| POTE generator: ~8/7 = 227.373
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| Map: [<1 1 1 3 1|, <0 3 7 -1 13|>
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| EDOs: 16, 21, 37b
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| Badness: 0.0495
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| ==13-limit==
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| Commas: 27/26, 36/35, 45/55, 507/500
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| POTE generator: ~8/7 = 227.230
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| Map: [<1 1 1 3 1 2|, <0 3 7 -1 13 9|>
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| EDOs 16, 21, 37b
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| Badness: 0.0327
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| =Spartan=
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| Commas: 36/35, 56/55, 1029/1024
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| POTE generator: ~8/7 = 229.535
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| Map: [<1 1 1 3 5|, <0 3 7 -1 -8|>
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| EDOs: 5, 21
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| Badness: 0.0627
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| [[Category:family]]
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| [[Category:laconic]]
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