Augmented family: Difference between revisions

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@@ Line 259: / Line 259: @@
 Badness: 0.035946
-== Hemiaug ==
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 128/125, 245/243
-[[Mapping]]: [{{val| 3 1 7 -1 }}, {{val| 0 2 0 5 }}]
-Mapping generators: ~5/4, ~14/9
-{{Multival|legend=1| 6 0 15 -14 7 35 }}
-[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~14/9 = 752.8335 (~36/35 = 47.1665)
-{{Val list|legend=1| 24, 27 }}
-[[Badness]]: 0.070463
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 56/55, 128/125, 243/242
-Mapping: [{{val| 3 1 7 -1 1 }}, {{val| 0 2 0 5 5 }}]
-Optimal tuning (CTE): ~5/4 = 1\3, ~14/9 = 752.0512 (~36/35 = 47.9488)
-Optimal GPV sequence: {{Val list| 24, 27e, 51ce }}
-Badness: 0.038232
-=== 13-limit ===
-Subgroup: 2.3.5.7.11.13
-Comma list: 56/55, 91/90, 128/125, 245/243
-Mapping: [{{val| 3 1 7 -1 1 13 }}, {{val| 0 2 0 5 5 -1 }}]
-Optimal tuning (CTE): ~5/4 = 1\3, ~14/9 = 752.1284 (or ~36/35 = 47.8716)
-Optimal GPV sequence: {{Val list| 24, 27e, 51ce }}
-Badness: 0.030159
 == Triforce ==
@@ Line 369: / Line 326: @@
 Badness: 0.059160
+== Hemiaug ==
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 128/125, 245/243
+[[Mapping]]: [{{val| 3 1 7 -1 }}, {{val| 0 2 0 5 }}]
+Mapping generators: ~5/4, ~14/9
+{{Multival|legend=1| 6 0 15 -14 7 35 }}
+[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~14/9 = 752.8335 (~36/35 = 47.1665)
+{{Val list|legend=1| 24, 27 }}
+[[Badness]]: 0.070463
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 56/55, 128/125, 243/242
+Mapping: [{{val| 3 1 7 -1 1 }}, {{val| 0 2 0 5 5 }}]
+Optimal tuning (CTE): ~5/4 = 1\3, ~14/9 = 752.0512 (~36/35 = 47.9488)
+Optimal GPV sequence: {{Val list| 24, 27e, 51ce }}
+Badness: 0.038232
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 56/55, 91/90, 128/125, 245/243
+Mapping: [{{val| 3 1 7 -1 1 13 }}, {{val| 0 2 0 5 5 -1 }}]
+Optimal tuning (CTE): ~5/4 = 1\3, ~14/9 = 752.1284 (or ~36/35 = 47.8716)
+Optimal GPV sequence: {{Val list| 24, 27e, 51ce }}
+Badness: 0.030159
 == Hemiug ==
@@ Line 412: / Line 412: @@
 Badness: 0.042289
-== Trug ==
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 128/125, 360/343
-[[Mapping]]: [{{val| 3 1 7 6 }}, {{val| 0 3 0 2 }}]
-Mapping generators: ~5/4, ~48/35
-[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~48/35 = 498.6367
-{{Val list|legend=1| 9bd, 12 }}
-[[Badness]]: 0.138279
 == Oodako ==
@@ Line 546: / Line 531: @@
 Badness: 0.024143
-== Music ==
+== Trug ==
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 128/125, 360/343
+[[Mapping]]: [{{val| 3 1 7 6 }}, {{val| 0 3 0 2 }}]
+Mapping generators: ~5/4, ~48/35
+[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~48/35 = 498.6367
+{{Val list|legend=1| 9bd, 12 }}
+[[Badness]]: 0.138279
+== External links ==
 * [https://www.prismnet.com/~hmiller/music/temp-augmented.html Herman Miller's page about augmented temperament]