52edf: Difference between revisions

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Created page with "'''Division of the just perfect fifth into 52 equal parts''' (52EDF) is related to 89 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..."
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'''[[EDF|Division of the just perfect fifth]] into 52 equal parts''' (52EDF) is related to [[89edo|89 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 1.4230 cents stretched and the step size is about 13.4991 cents. Unlike 89edo, it is only consistent up to the [[3-odd-limit|4-integer-limit]], with discrepancy for the 5th harmonic.
'''[[EDF|Division of the just perfect fifth]] into 52 equal parts''' (52EDF) is related to [[89edo|89 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 1.4230 cents stretched and the step size is about 13.4991 cents. Unlike 89edo, it is only consistent up to the [[3-odd-limit|4-integer-limit]], with discrepancy for the 5th harmonic.



Revision as of 18:49, 5 October 2022

← 51edf 52edf 53edf →
Prime factorization 22 × 13
Step size 13.4991 ¢ 
Octave 89\52edf (1201.42 ¢)
Twelfth 141\52edf (1903.38 ¢)
Consistency limit 4
Distinct consistency limit 4

Division of the just perfect fifth into 52 equal parts (52EDF) is related to 89 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 1.4230 cents stretched and the step size is about 13.4991 cents. Unlike 89edo, it is only consistent up to the 4-integer-limit, with discrepancy for the 5th harmonic.

Lookalikes: 89edo, 141edt