48edf

Revision as of 18:47, 5 October 2022 by Plumtree (talk | contribs) (Infobox ET added)

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.

← 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

Lookalikes: 82edo, 130edt