Keemic family: Difference between revisions
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The '''keemic family''' of temperaments are [[planar temperament]]s tempering out the keema, [[875/864]]. | |||
= Supermagic = | = Supermagic = | ||
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{{EDOs|legend=1| 7, 15, 19, 41 }} | {{EDOs|legend=1| 7, 15, 19, 41 }} | ||
[[ | [[Projection pair]]: 7 864/125 | ||
Scales: [[ | Scales: [[supermagic15]] | ||
== 11-limit == | == 11-limit == | ||
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[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Temperament family]] | [[Category:Temperament family]] | ||
[[Category:Keemic]] | [[Category:Keemic]] | ||
[[Category:Supermagic]] | |||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Revision as of 05:34, 6 January 2021
The keemic family of temperaments are planar temperaments tempering out the keema, 875/864.
Supermagic
Comma: 875/864
7 and 9 limit minimax
[|1 0 0 0>, |0 1 0 0>, |5/4 3/4 1/4 -1/4>, |5/4 3/4 -3/4 3/4>]
Eigenmonzos: 2, 4/3, 7/5
Lattice basis: 6/5 length=0.8879 3/2 length=1.3391
Angle(6/5, 3/2) = 77.834
Map to lattice: [<0 0 -1 3|, <0 1 1 0|]
Map: [<1 0 0 5|, <0 1 0 3|, <0 0 1 -3|]
Generators: 2, 3, 5
Projection pair: 7 864/125
Scales: supermagic15
11-limit
Commas: 100/99, 385/384
Map: [<1 0 0 5 2|, <0 1 0 3 -2|, <0 0 1 -3 2|]
EDOs: 7, 15, 19, 22, 37, 41, 104, 145c, 201ce, 264bce, 305bcce
Badness: 0.000641
Supernatural
Commas: 225/224, 245/243
Map:[<1 0 2 -1 0|, <0 5 1 12 0|, <0 0 0 0 1|]
EDOs: 19, 22, 41, 82e, 101cd, (104), 224ccde, 265ccde
Badness: 0.000888