154edo: Difference between revisions

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{{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.
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.



Revision as of 19:08, 4 October 2022

← 153edo 154edo 155edo →
Prime factorization 2 × 7 × 11
Step size 7.79221 ¢ 
Fifth 90\154 (701.299 ¢) (→ 45\77)
Semitones (A1:m2) 14:12 (109.1 ¢ : 93.51 ¢)
Consistency limit 3
Distinct consistency limit 3

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.