48edf: Difference between revisions

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Created page with "'''Division of the just perfect fifth into 48 equal parts''' (48EDF) is related to 82 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 48 equal parts''' (48EDF) is related to [[82edo|82 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 0.8269 cents compressed and the step size is about 14.6241 cents. Unlike 82edo, 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 48 equal parts''' (48EDF) is related to [[82edo|82 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 0.8269 cents compressed and the step size is about 14.6241 cents. Unlike 82edo, it is only consistent up to the [[3-odd-limit|4-integer-limit]], with discrepancy for the 5th harmonic.



Revision as of 18:47, 5 October 2022

← 47edf 48edf 49edf →
Prime factorization 24 × 3 (highly composite)
Step size 14.6241 ¢ 
Octave 82\48edf (1199.17 ¢) (→ 41\24edf)
Twelfth 130\48edf (1901.13 ¢) (→ 65\24edf)
Consistency limit 4
Distinct consistency limit 4

Division of the just perfect fifth into 48 equal parts (48EDF) is related to 82 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 0.8269 cents compressed and the step size is about 14.6241 cents. Unlike 82edo, it is only consistent up to the 4-integer-limit, with discrepancy for the 5th harmonic.

Lookalikes: 82edo, 130edt