No-threes subgroup temperaments: Difference between revisions

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 == Higher 2.5 temperaments ==
+=== Pure onzonic ===
+Named for the French word for eleven, ''onze'', since the generator is 11/8. Initially defined for 2.5.11.13, but it can be extended.
+Pure onzonic is the temperament that was initially referred to as "jacobin" before it was pointed out that the same name would be reserved for the rank-5 temperamnet tempering out 6656/6655 alone (see above).
+[[Subgroup]]: 2.5.11.13
+[[Comma list]]: 6656/6655, {{monzo| -119 -46 15 47 }}
+[[Sval]] [[mapping]]: [{{val| 1 74 3 74 }}, {{val| 0 -156 1 -153 }}]
+[[Optimal tuning]] ([[CTE]]): ~11/8 = 551.370
+{{Optimal ET sequence|legend=1| 37, 1789 }}
+==== Septimal onzonic ====
+Septimal onzonic in between the 2.5.11.13 subgroup adds the mapping for 7.
+Subgroup: 2.5.7.11.13
+Comma list: 6656/6655, 200126927/200000000, 41322093568/41259765625
+Sval mapping: [{{val| 1 74 114 3 74 }}, {{val| 0 -156 -242 1 -153 }}]
+Optimal tuning (CTE): ~11/8 = 551.369
+{{Optimal ET sequence|legend=1| 37, 1789 }}
 === Pure onzonic ===