110edo: Difference between revisions

@@ Line 1: / Line 1: @@
-'''110edo''' is the [[EDO|equal division of the octave]] into 110 parts of 10.9090909091 cents each. It tempers out 15625/15552 and 3486784401/3355443200 in the 5-limit. Using the patent val, it tempers out 1728/1715, 3125/3087, and 3645/3584 in the 7-limit.
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Edo]]
+== Theory ==
+The equal temperament [[tempering out|tempers out]] 15625/15552 ([[15625/15552|kleisma]]) and 3486784401/3355443200 in the 5-limit. Using the [[patent val]], it tempers out [[1728/1715]], [[3125/3087]], and 3645/3584 in the 7-limit.
+=== Odd harmonics ===
+{{Harmonics in equal|110}}
+=== Subsets and supersets ===
+Since 110 factors into {{factorization|110}}, 110edo has subset edos {{EDOs| 2, 5, 10, 11, 22, and 55 }}.
+ed8, built by taking every third step of 110edo, is a system where primes 3, 5, 7, 11, 17, 23, 29 are mapped exactly as in 110edo.
+== Intervals ==
+{{Interval table}}
+== Instruments ==
+* [[Lumatone mapping for 110edo]]
+{{stub}}