Marvel family: Difference between revisions

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@@ Line 20: / Line 20: @@
 [[Associated temperament]]: [[catakleismic]]
+Mapping: [{{val| 1 0 0 -5 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 2 }}]
+Mapping generators: ~2, ~3, ~5
+Map to lattice: [{{val| 0 0 -1 -2 }}, {{val| 0 1 -1 0 }}]
 Lattice basis:
 : secor length = 1.256, 3/2 length = 1.369
 : Angle (secor, 3/2) = 106.958 degrees
-Map to lattice: [{{val| 0 0 -1 -2 }}, {{val| 0 1 -1 0 }}]
-Mapping: [{{val| 1 0 0 -5 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 2 }}]
-Mapping generators: ~2, ~3, ~5
 Minimax tuning:
@@ Line 35: / Line 35: @@
 : [{{monzo| 1 0 0 0 }}, {{monzo| 5/4 1/2 -1/2 1/4 }}, {{monzo| 5/4 -1/2 1/2 1/4 }}, {{monzo| 0 0 0 1 }}]
 : [[Eigenmonzo subgroup]]: 2.5/3.7
-* 9-odd-limit minimax: 3 1/6c flat, 5 1/3c flat, 7 just
+* 9-odd-limit: 3 1/6c flat, 5 1/3c flat, 7 just
 : [{{monzo| 1 0 0 0 }}, {{monzo| 5/6 2/3 -1/3 1/6 }}, {{monzo| 5/3 -2/3 1/3 1/3 }}, {{monzo| 0 0 0 1 }}]
 : [[Eigenmonzo subgroup]]: 2.9/5.7
@@ Line 51: / Line 51: @@
 == [[Minkowski blocks]] ==
 {2, 3, 5} subgroup
+* 8: 16/15, 250/243
-: 16/15, 250/243
+* 9: 135/128, 128/125
+* 10: 25/24, 2048/2025
-: 135/128, 128/125
+* 11: 135/128, 2048/1875
+* 12: 2048/2025, 128/125
-: 25/24, 2048/2025
+* 15: 128/125, 32768/30375
+* 17: 25/24, 2278125/2097152
-: 135/128, 2048/1875
+* 19: 16875/16384, 81/80
+* 21: 128/125, 273375/262144
-: 2048/2025, 128/125
+* 22: 2048/2025, 3125/3072
+* 29: 16875/16384, 32805/32768
-: 128/125, 32768/30375
+* 31: 81/80, 34171875/33554432
+* 41: 34171875/33554432, 3125/3072
-: 25/24, 2278125/2097152
-: 16875/16384, 81/80
-: 128/125, 273375/262144
-: 2048/2025, 3125/3072
-: 16875/16384, 32805/32768
-: 81/80, 34171875/33554432
-: 34171875/33554432, 3125/3072
 == Music ==
 * [http://chrisvaisvil.com/?p=314 Semimarvelous Blue Drawf] by [[Chris Vaisvil]]
 * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3 notJoelTaylorsTreeSpirit-Marvel10-2] by [[Billy Stiltner]]
+== Eleven-limit extensions ==
+The second comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 11-limit family member we are looking at.
+* 4125/4096 gives unidecimal marvel,
+* 91125/90112 gives prodigy,
+* 5632/5625 gives minerva, and
+* 243/242 gives spectacle.
 = 11-limit (unimarv) =
@@ Line 86: / Line 80: @@
 [[Associated temperament]]: [[catakleismic]]
+Mapping: [{{val| 1 0 0 -5 12 }}, {{val| 0 1 0 2 -1 }}, {{val| 0 0 1 2 -3 }}]
+Mapping generators: ~2, ~3, ~5
+Map to lattice: [{{val| 0 -1 0 -2 1 }}, {{val| 0 -1 1 0 -2 }}]
 Lattice basis:
 : secor length = 1.0364, 5/4 length = 1.0759
 : Angle (secor, 5/4) = 104.028 degrees
-Map to lattice: [{{val| 0 -1 0 -2 1 }}, {{val| 0 -1 1 0 -2 }}]
-Mapping: [{{val| 1 0 0 -5 12 }}, {{val| 0 1 0 2 -1 }}, {{val| 0 0 1 2 -3 }}]
-Mapping generators: ~2, ~3, ~5
 [[Minimax tuning]]:
@@ Line 115: / Line 109: @@
 {2, 3, 5} subgroup
-: 128/125, 2048/2025
+* 12: 128/125, 2048/2025
+* 15: 128/125, 32768/30375
-: 128/125, 32768/30375
+* 19: 16875/16384, 81/80
+* 22: 2048/2025, 2109375/2097152
-: 16875/16384, 81/80
+* 31: 2109375/2097152, 81/80
+* 41: 3125/3072, 34171875/33554432
-: 2048/2025, 2109375/2097152
-: 2109375/2097152, 81/80
-: 3125/3072, 34171875/33554432
 == 13-limit ==
@@ Line 239: / Line 228: @@
 Projection pairs: 7 225/32 11 4096/375 13 3375/256
-== Other eleven limit marvel children ==
-The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at.
-* 4125/4096 gives unidecimal marvel,
-* 91125/90112 gives prodigy,
-* 5632/5625 gives minerva, and
-* 243/242 gives spectacle.
 = Mirage =