181edo: Difference between revisions
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== Theory == | == Theory == | ||
181et [[tempering out|tempers out]] 2109375/2097152 ([[semicomma]]) and {{monzo| 14 -22 9 }} in the 5-limit; [[2401/2400]], [[5120/5103]], and 390625/387072 in the 7-limit ([[support]]ing the [[hemififths]] and the [[cotritone]]). Using the patent val, it tempers out [[385/384]], 1375/1372, [[2200/2187]], and [[4000/3993]] in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1575/1573]] in the 13-limit. | 181edo is only consistent to the [[7-odd-limit]], though besides [[10/9]] and [[9/5]] all intervals are consistent in the 21-odd-limit, and it has low errors on primes all the way up to 43. It even does well beyond that, with less than 30% error on all primes up to 137, besides 47, 61, 73, 97, and 113. 181et [[tempering out|tempers out]] 2109375/2097152 ([[semicomma]]) and {{monzo| 14 -22 9 }} in the 5-limit; [[2401/2400]], [[5120/5103]], and 390625/387072 in the 7-limit ([[support]]ing the [[hemififths]] and the [[cotritone]]). Using the patent val, it tempers out [[385/384]], 1375/1372, [[2200/2187]], and [[4000/3993]] in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1575/1573]] in the 13-limit. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|181}} | {{Harmonics in equal|181}}{{Harmonics in equal|181|start=12}}{{Harmonics in equal|181|start=23}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||