Subgroup temperaments: Difference between revisions

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@@ Line 193: / Line 193: @@
 [[Comma list]]: 1029/1024
-[[Sval]] [[mapping]]: [{{val| 1 2 4 }}, {{val| 0 3 1 }}]
+{{Mapping|legend=2| 1 2 4 | 0 3 1 }}
-[[Gencom]]: [2 21/16; 1029/1024]
+: sval mapping generators: ~2, ~21/16
-[[Gencom]] [[mapping]]: [{{val| 1 1 0 3 }}, {{val| 0 3/2 0 -1/2 }}]
+{{Mapping|legend=3| 1 1 0 3 | 0 3/2 0 -1/2 }}
-[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~21/16 = 467.375
+: [[gencom]]: [2 21/16; 1029/1024]
+[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~2 = 1\1, ~21/16 = 467.375
 {{Optimal ET sequence|legend=1| 5, 13, 18, 41, 59, 77, 95 }}
@@ Line 210: / Line 212: @@
 Comma list: 81/80, 99/98, 385/384
-Sval mapping: [{{val| 1 2 0 4 5 }}, {{val| 0 3 6 1 -4 }}]
+Sval mapping: {{mapping| 1 2 0 4 5 | 0 3 6 1 -4 }}
-Gencom: [2 21/16; 81/80 99/98 385/384]
+Gencom mapping: {{mapping| 1 1 0 3 5 | 0 3/2 6 -1/2 -4 }}
-Gencom mapping: [{{val| 1 1 0 3 5 }}, {{val| 0 3/2 6 -1/2 -4 }}]
+: gencom: [2 21/16; 81/80 99/98 385/384]
-Optimal tuning (subgroup POTE): ~21/16 = 463.956
+Optimal tuning (subgroup POTE): ~2 = 1\1, ~21/16 = 463.956
-{{Optimal ET sequence|legend=1| 5, 13, 31}}
+{{Optimal ET sequence|legend=1| 5, 13, 31 }}
-== 7.8.9 subgroup ==
+== 8.9.7 subgroup ==
 === Sixscared ===
-[[Subgroup]]: 7.8.9
+[[Subgroup]]: 8.9.7
 [[Comma list]]: 64/63
-[[Gencom]]: [7/1 9/8; 64/63]
+{{Mapping|legend=2| 1 0 2 | 0 1 -1 }}
-[[Mapping]]: [{{val|1 1 1}}, {{val|0 1 2}}]
-[[TE tuning|TE period]]: ~[[7/1]] = 3372.8103
+: sval mapping generators: ~8, ~9
-[[TE tuning|TE generator]]: ~[[9/8]] = 218.0899
+: [[gencom]]: [8 9/8; 64/63]
-[[Ed7]]s: 15, 16
+[[Optimal tuning]] ([[CTE]]): ~8 = 3\1, ~9/8 = 219.1898
-[[Ed8]]s: 16, 17
+[[Optimal ET sequence]]: {{val| 16 17 15 }}, {{val| 33 35 31 }}, {{val| 148 … }}, {{val| 181 … }}, {{val| 214 … }}, {{val| 247 … }}
-[[Ed9]]s: 17, 18
+[[Badness]]: 0.0215 × 10<sup>-3</sup>
 == Fractional subgroup temperaments ==