57edt: Difference between revisions

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{{Infobox ET}}
'''[[Edt|Division of the third harmonic]] into 57 equal parts''' (57EDT) is related to [[36edo|36 edo]] (sixth-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 33.3676 cents. It is consistent to the [[9-odd-limit|9-integer-limit]]. In comparison, 36edo is only consistent up to the [[7-odd-limit|8-integer-limit]].
'''[[Edt|Division of the third harmonic]] into 57 equal parts''' (57EDT) is related to [[36edo|36 edo]] (sixth-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 33.3676 cents. It is consistent to the [[9-odd-limit|9-integer-limit]]. In comparison, 36edo is only consistent up to the [[7-odd-limit|8-integer-limit]].



Revision as of 20:01, 5 October 2022

← 56edt 57edt 58edt →
Prime factorization 3 × 19
Step size 33.3676 ¢ 
Octave 36\57edt (1201.23 ¢) (→ 12\19edt)
Consistency limit 9
Distinct consistency limit 9

Division of the third harmonic into 57 equal parts (57EDT) is related to 36 edo (sixth-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 33.3676 cents. It is consistent to the 9-integer-limit. In comparison, 36edo is only consistent up to the 8-integer-limit.

Lookalikes: 36edo, 93ed6, 101ed7, 21edf