87edt: Difference between revisions

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Created page with "'''Division of the third harmonic into 87 equal parts''' (87EDT) is related to 55 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 2..."
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{{Infobox ET}}
'''[[Edt|Division of the third harmonic]] into 87 equal parts''' (87EDT) is related to [[55edo|55 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 2.3853 cents stretched and the step size is about 21.8616 cents. Unlike 55edo, it is only consistent up to the [[3-odd-limit|4-integer-limit]], with discrepancy for the 5th harmonic.
'''[[Edt|Division of the third harmonic]] into 87 equal parts''' (87EDT) is related to [[55edo|55 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 2.3853 cents stretched and the step size is about 21.8616 cents. Unlike 55edo, it is only consistent up to the [[3-odd-limit|4-integer-limit]], with discrepancy for the 5th harmonic.



Revision as of 20:06, 5 October 2022

← 86edt 87edt 88edt →
Prime factorization 3 × 29
Step size 21.8616 ¢ 
Octave 55\87edt (1202.39 ¢)
Consistency limit 4
Distinct consistency limit 4

Division of the third harmonic into 87 equal parts (87EDT) is related to 55 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 2.3853 cents stretched and the step size is about 21.8616 cents. Unlike 55edo, it is only consistent up to the 4-integer-limit, with discrepancy for the 5th harmonic.

Lookalikes: 55edo, 142ed6, 154ed7