154edo: Difference between revisions

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The '''''154edo''''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] (or [[enfactored]]) 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.
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.


154 = 2 * 7 * 11, with divisors [[2edo|2]], [[7edo|7]], [[11edo|11]], [[14edo|14]], [[22edo|22]] and [[77edo|77]].
154 = 2 * 7 * 11, with divisors [[2edo|2]], [[7edo|7]], [[11edo|11]], [[14edo|14]], [[22edo|22]] and [[77edo|77]].

Revision as of 23:10, 12 November 2021

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 gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.

154 = 2 * 7 * 11, with divisors 2, 7, 11, 14, 22 and 77.