Diaschismic family: Difference between revisions

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@@ Line 309: / Line 309: @@
 Mapping: [{{val| 2 0 11 12 -1 9 }}, {{val| 0 2 -4 -4 5 -1 }}]
-POTE generator: ~15/13 = 246.907
+POTE generator: ~15/13 = 246.926
 Optimal GPV sequence: {{Val list| 10, 24d, 34d }}
 Badness: 0.028755
+==== 17-limit ====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 50/49, 64/63, 78/77, 85/84, 144/143
+Mapping: [{{val| 2 0 11 12 -1 9 5 }}, {{val| 0 2 -4 -4 5 -1 2 }}]
+POTE generator: ~15/13 = 246.790
+Optimal GPV sequence: {{Val list| 10, 24d, 34d }}
+Badness: 0.021790
 == Diaschismic ==
@@ Line 378: / Line 391: @@
 Badness: 0.018926
-=== 17-limit (Na"Naa') ===
+=== 17-limit ===
 Subgroup: 2.3.5.7.11.13.17
@@ Line 395: / Line 408: @@
 Badness: 0.016425
+==== Na"Naa' ====
+<b>Na"Naa'</b> is a remarkable subgroup temperament of 46&amp;58 with a prime harmonic of 23.
+Subgroup: 2.3.5.7.11.13.17.23
+[[Comma list]]: 126/125, 136/135, 176/175, 196/195, 231/230, 256/255
+[[Mapping|Sval mapping]]: [{{val| 2 0 11 31 45 55 5 63 }}, {{val| 0 1 -2 -8 -12 -15 1 -17 }}]
+[[POTE generator|POL2 generator]]: ~3/2 = 703.870
+{{Val list|legend=1| 46, 58i, 104ci }}
 == Keen ==
@@ Line 821: / Line 847: @@
 Subgroup: 2.3.5.7.11.13
-Comma list: 49/48, 56/55, 91/90, 352/351
+Comma list: 49/48, 56/55, 91/90, 243/242
 Mapping: [{{val| 2 0 11 4 -1 9 }}, {{val| 0 2 -4 1 5 -1 }}]
@@ Line 827: / Line 853: @@
 POTE generator: ~8/7 = 247.691
-Optimal GPV sequence: {{Val list| 10, 24, 34, 58d, 92def }}
+Optimal GPV sequence: {{Val list| 10, 24, 34, 58d, 92ddef }}
 Badness: 0.030829
+=== 17-limit ===
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 49/48, 56/55, 91/90, 119/117, 154/153
+Mapping: [{{val| 2 0 11 4 -1 9 5 }}, {{val| 0 2 -4 1 5 -1 2 }}]
+POTE generator: ~8/7 = 247.670
+Optimal GPV sequence: {{Val list| 10, 24, 34, 58d, 92ddef }}
+Badness: 0.021796
 == Shru ==