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| __FORCETOC__
| | #redirect [[Miscellaneous 7-limit temperaments #Canopic a.k.a. mirkwai]] |
| The mirkwai family of [[Planar_Temperament|planar temperament]]s tempers out the mirkwai comma, 16875/16807.
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| =Vital statistics=
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| [[Comma|Comma]]: mirkwai 16875/16807 | |
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| 7-limit minimax | |
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| [|1 0 0 0>, |0 4/7 -4/7 5/7>,
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| |0 -3/7 3/7 5/7>, |0 0 0 1>]
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| [[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 6/5
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| 9-limit minimax
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| [|1 0 0 0>, |0 8/11 -4/11 5/11>,
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| |0 -6/11 3/11 10/11>, |0 0 0 1>]
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| [[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 8/7
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| Map: [<1 0 0 0|, <0 1 3 3|, <0 0 -5 -4|]
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| [[generator|Generators]]: 2, 3, 7/5
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| [[EDO|Edos]]: [[72edo|72]], [[152edo|152]], [[193edo|193]], [[224edo|224]], [[296edo|296]], [[327edo|327]], [[775edo|775]]
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| Badness: 0.000342
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| [[Projection_pair|Projection pair]]s: 5 84375/16807 7 16875/2401 to 2.3.7/5
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| =Indra=
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| [[Comma|Commas]]: 540/539, 1375/1372
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| [[Minimax_tuning|Minimax tuning]]
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| [|1 0 0 0 0>, |10 10 -3 0 -5>, |0 0 1 0 0>,
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| |6 6 -1 0 -3>, |20 18 -6 0 -9>]
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| [[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 5/4
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| Lattice basis: 15/14 length 0.6184 55/36 length 0.7585
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| Angle(15/14, 55/36) = 68.1048 cents
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| Map to lattice: [<0 2 1 2 3|, <0 -1 2 1 -3|]
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| Map: [<1 0 0 0 2|, <0 1 3 3 0|, <0 0 -5 -4 3|]
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| [[generator|Generators]]: 2, 3, 7/5
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| [[EDO|Edos]]: 31, 41, [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]], [[703edo|703]]
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| Badness: 0.000266
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| [[Projection_pair|Projection pair]]s: 5 84375/16807 7 16875/2401 11 1372/125 to 2.3.7/5
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| Scales: [[indra31|indra31]]
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| ==Shibi==
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| Commas: 540/539, 729/728, 1375/1372
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| Map: [<1 0 0 0 2 -4 -3|, <0 1 3 3 0 11 3|, <0 0 -5 -4 3 4|]
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| EDOs: 41, 72, 111, 183, 224, 703
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| Badness: 0.000721
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| ==Yajna==
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| [[Comma|Commas]]: 540/539, 625/624, 1375/1372
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| 13-limit minimax
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| [|1 0 0 0 0 0>, |4/5 6/5 -4/5 0 0 1/5>,
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| |8/5 2/5 -3/5 0 0 2/5>,
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| |44/25 26/25 -24/25 0 0 11/25>,
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| |62/25 48/25 -27/25 0 0 3/25>,
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| |8/5 2/5 -8/5 0 0 7/5>]
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| [[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 13/10
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| 15-limit minimax
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| [|1 0 0 0 0 0>, |0 1 0 0 0 0>,
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| |5/4 1/2 0 -5/16 0 5/16>,
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| |1 1 0 -1/4 0 1/4>,
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| |5/4 3/2 0 3/16 0 -3/16>,
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| |1 1 0 -5/4 0 5/4>]
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| [[Eigenmonzo|Eigenmonzos]]: 2, 14/13, 4/3
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| Map: [<1 0 0 0 2 -4|, <0 1 3 3 0 11|, <0 0 -5 -4 3 -20|]
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| [[generator|Generators]]: 2, 3, 7/5
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| [[EDO|Edos]]: [[31edo|31]], [[72edo|72]], [[103edo|103]], [[193edo|193]], 224, 296, 520, 703
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| Badness: 0.000700
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| ==Vibhu==
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| [[Comma|Commas]]: 540/539, 1375/1372, 351/350
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| Map: [<1 0 0 0 2 1|, <0 1 3 3 0 6|, <0 0 -5 -4 3 -14|]
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| EDOs: 31, 72, 103, 111, 152, 183
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| Badness: 0.000826
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| ==Vish==
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| [[Comma|Commas]]: 325/324, 364/363, 540/539
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| Map: [<1 0 0 0 2 2], <0 1 3 3 0 -2], <0 0 -5 -4 3 10|]
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| EDOs: 41, 72, 121, 193
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| Badness: 0.000930
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| [[Category:family]]
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| [[Category:mirkwai]]
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| [[Category:theory]]
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