Revision as of 06:21, 2 January 2021

These are the 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

Commas: 100/99, 385/384

Map: [<1 0 0 5 2|, <0 1 0 3 -2|, <0 0 1 -3 2|]

Badness: 0.000641

Commas: 225/224, 245/243

Map:[<1 0 2 -1 0|, <0 5 1 12 0|, <0 0 0 0 1|]

Badness: 0.000888

@@ Line 1: / Line 1: @@
-__FORCETOC__
+These are the [[planar temperament]]s tempering out the keema, [[875/864]].
-These are the [[Planar_Temperament|planar temperament]]s tempering out the keema, 875/864.
-=Supermagic=
+= Supermagic =
 Comma: 875/864
@@ Line 22: / Line 21: @@
 Generators: 2, 3, 5
-Edos: 7, 8, 15, 18, 19, 22, 26, 34, 37, 41, 56, 60
+{{EDOs|legend=1| 7, 15, 19, 41 }}
 [[Projection_pair|Projection pair]]: 7 864/125
@@ Line 28: / Line 27: @@
 Scales: [[supermagic15|supermagic15]]
-==11-limit==
+== 11-limit ==
 Commas: 100/99, 385/384
 Map: [&lt;1 0 0 5 2|, &lt;0 1 0 3 -2|, &lt;0 0 1 -3 2|]
-EDOs: 7, 15, 19, 22, 37, 41, 63, 104, 145c, 201ce, 242ce, 264bce, 305bce
+{{EDOs|legend=1| 7, 15, 19, 22, 37, 41, 104, 145c, 201ce, 264bce, 305bcce }}
 Badness: 0.000641
-=Supernatural=
+= Supernatural =
 Commas: 225/224, 245/243
 Map:[&lt;1 0 2 -1 0|, &lt;0 5 1 12 0|, &lt;0 0 0 0 1|]
-EDOs: 19, 22, 41, 82e, 101cd, 104, 123ce, 142cd, 224cde, 265cde
+{{EDOs|legend=1| 19, 22, 41, 82e, 101cd, (104), 224ccde, 265ccde }}
 Badness: 0.000888
@@ Line 50: / Line 49: @@
 [[Category:Planar temperament]]
 [[Category:Keemic]]
+[[Category:Rank 3]]