Sensamagic family: Difference between revisions

← Older edit Newer edit →

VisualWikitext

@@ Line 2: / Line 2: @@
 == Sensamagic  ==
-{{main| Sensamagic }}
+{{Main| Sensamagic }}
 Subgroup: 2.3.5.7
@@ Line 34: / Line 34: @@
 [[Projection pair]]: 5 243/49 to 2.3.7
-<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
+{{databox|[[Minkowski blocks]]|
-<div style="line-height:1.6;">[[Minkowski blocks]]</div>
-<div class="mw-collapsible-content">
 {2, 3, 7} subgroup
 * 12: 729/686, 64/63
@@ Line 44: / Line 41: @@
 * 22: 64/63, 537824/531441
 * 24: 64/63, 15059072/14348907
+}}
-</div></div>
+== Undecimal sensamagic ==
-== Undecimal sensamagic  ==
 Subgroup: 2.3.5.7.11
@@ Line 69: / Line 64: @@
 [[Projection pair]]s: 5 243/49 11 896/81 to 2.3.7
-=== 13-limit  ===
+=== 13-limit ===
 Subgroup: 2.3.5.7.11
-Comma list: 245/243, 352/351, 385/384
+Comma list: 245/243, 352/351, 364/363
 Mapping: [{{val| 1 0 0 0 7 12 }}, {{val| 0 1 1 2 -2 -5 }}, {{val| 0 0 2 -1 -1 -1 }}]
-Vals: {{Val list| 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd }}
+Optimal GPV sequence: {{Val list| 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd }}
 Badness: 1.20 × 10<sup>-3</sup>
-== Sensawer  ==
+== Sensawer ==
 Subgroup: 2.3.5.7.11
@@ Line 95: / Line 88: @@
 [[Badness]]: 0.796 × 10<sup>-3</sup>
-=== 13-limit  ===
+=== 13-limit ===
 Subgroup: 2.3.5.7.11.13
@@ Line 103: / Line 95: @@
 Mapping: [{{val| 1 0 0 0 -3 2 }}, {{val| 0 1 1 2 5 2 }}, {{val| 0 0 2 -1 -4 -4 }}]
-Vals: {{Val list| 14c, 19e, 27e, 41, 46, 60e, 68e, 87, 522bd }}
+Optimal GPV sequence: {{Val list| 14c, 19e, 27e, 41, 46, 60e, 68e, 87, 522bd }}
 Badness: 0.928 × 10<sup>-3</sup>
-== Octarod  ==
+== Octarod ==
 Subgroup: 2.3.5.7.11
@@ Line 123: / Line 114: @@
 Scales: [[octarod1]], [[octarod2]], [[octarod3]], [[octarod4]], [[octarod5]]
-== Shrusus  ==
+== Shrusus ==
 Subgroup: 2.3.5.7.11
@@ Line 137: / Line 127: @@
 [[Badness]]: 0.877 × 10<sup>-3</sup>
-=== Shrusic  ===
+=== Shrusic ===
 Subgroup: 2.3.5.7.11.13
@@ Line 145: / Line 134: @@
 Mapping: [{{val| 1 0 0 0 -4 1 }}, {{val| 0 1 1 2 4 1 }}, {{val| 0 0 2 -1 3 3 }}]
-Vals: {{Val list| 22, 46, 211bcf, 233bcf, 257bcf, 279bcf }}
+Optimal GPV sequence: {{Val list| 22, 46, 211bcf, 233bcf, 257bcf, 279bcf }}
 Badness: 1.125 × 10<sup>-3</sup>
-== Sensigh  ==
+== Bisector ==
+Subgroup: 2.3.5.7.11
+[[Comma list]]: 121/120, 245/243
+[[Mapping]]: [{{val| 2 0 0 0 3 }}, {{val| 0 1 1 2 1 }}, {{val| 0 0 2 -1 1 }}]
+Mapping generators: ~77/54, ~3, ~9/7
+[[POTE generator]]s: ~3/2 = 703.0884, ~9/7 = 441.1060
+{{Val list|legend=1| 22, 46, 68, 82e, 106de, 114, 128e }}
+[[Badness]]: 1.089 × 10<sup>-3</sup>
+== Sensigh ==
 Subgroup: 2.3.5.7.11.13
@@ Line 157: / Line 160: @@
 Mapping: [{{val| 1 6 8 11 0 10 }}, {{val| 0 -7 -9 -13 0 -10 }}, {{val| 0 0 0 0 1 0 }}]
-Vals: {{Val list| 19, 27, 46, 111df, 157df }}
+Mapping generators: ~2, ~9/7, ~11
+Optimal GPV sequence: {{Val list| 19, 27, 46, 111df, 157df }}
 Badness: 0.939 × 10<sup>-3</sup>
-=== 17-limit  ===
+=== 17-limit ===
 Subgroup: 2.3.5.7.11.13.17
@@ Line 169: / Line 174: @@
 Mapping: [{{val| 1 6 8 11 0 10 0 }}, {{val| 0 -7 -9 -13 0 -10 1 }}, {{val| 0 0 0 0 1 0 1 }}]
-Vals: {{Val list| 19, 27, 46 }}
+Optimal GPV sequence: {{Val list| 19, 27, 46 }}
-== Bisector  ==
-Subgroup: 2.3.5.7.11
-[[Comma list]]: 121/120, 245/243
-[[Mapping]]: [{{val| 2 0 0 0 3 }}, {{val| 0 1 1 2 1 }}, {{val| 0 0 2 -1 1 }}]
-Mapping generators: ~77/54, ~3, ~9/7
-[[POTE generator]]s: ~3/2 = 703.0884, ~9/7 = 441.1060
-{{Val list|legend=1| 22, 46, 68, 82e, 106de, 114, 128e }}
-[[Badness]]: 1.089 × 10<sup>-3</sup>
 [[Category:Temperament families]]
 [[Category:Sensamagic family| ]] <!-- main article -->
 [[Category:Rank 3]]