Olympia: Difference between revisions

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 == Temperaments ==
-[[Tempering out]] this comma in the full 11-limit results in the rank-4 '''olympic temperament''' , with a very natural 13-limit extension {2080/2079, 4096/4095} (→ [[Rank-4 temperament #Olympic (131072/130977)]]). As its order of 11 is one, any 7-limit temperament can be extended to the 11-limit by tempering out this comma. To make practical sense, however, it requires low complexity and high accuracy of the septimal comma, which is less common.
+[[Tempering out]] this comma in the full 11-limit results in the rank-4 olympic temperament (→ [[Rank-4 temperament #Olympic (131072/130977)]]), or in the 2.3.7.11 subgroup, the rank-3 olympian temperament. Olympic has a very natural 13-limit extension {2080/2079, 4096/4095}. As the comma's order of 11 is one, any 7-limit temperament can be extended to the 11-limit by tempering out this comma, but it works best for temperaments with low complexity and high accuracy in the septimal comma.
 == Etymology ==