48edf
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Prime factorization
24 × 3
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
Special properties
| ← 47edf | 48edf | 49edf → |
Division of the just perfect fifth into 48 equal parts (48EDF) is related to 82edo, but with the 3/2 rather than the 2/1 being just. The octave is compressed by about 0.8269 cents 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.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.83 | -0.83 | +6.88 | -5.29 | +1.92 | +5.19 | -5.89 | +6.28 | -2.75 | +5.42 | +6.96 |
| Relative (%) | -5.7 | -5.7 | +47.1 | -36.2 | +13.1 | +35.5 | -40.3 | +43.0 | -18.8 | +37.1 | +47.6 | |
| Steps (reduced) |
82 (34) |
130 (34) |
191 (47) |
230 (38) |
284 (44) |
304 (16) |
335 (47) |
349 (13) |
371 (35) |
399 (15) |
407 (23) | |
 |
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