154edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
The '''154edo''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.
{{ED intro}}


154 = 2 * 7 * 11, with divisors [[2edo|2]], [[7edo|7]], [[11edo|11]], [[14edo|14]], [[22edo|22]] and [[77edo|77]].
154edo is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out [[126/125]], [[1029/1024]] and [[243/242]], which define the 11-limit 31 & 123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the [[optimal patent val]]. In the 13-limit, it tempers out [[196/195]], [[364/363]] and [[676/675]].


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
=== Prime harmonics ===
{{Harmonics in equal|154}}
 
=== Subsets and supersets ===
154 = {{factorization|154}}, 154edo has subset edos {{EDOs| 2, 7, 11, 14, 22, and 77 }}.