251edo
| ← 250edo | 251edo | 252edo → |
251edo is the equal division of the octave into 251 parts of 4.7809 cents each.
It tempers out 1600000/1594323 (amity comma) and 562949953421312/556182861328125 (maquila comma) in the 5-limit; 4375/4374, 5120/5103, and 40500000/40353607 in the 7-limit.
Using the patent val, it tempers out 1331/1323, 1375/1372, 16896/16807, and 24057/24010 in the 11-limit; 352/351, 676/675, 847/845, and 1573/1568 in the 13-limit.
Using the 251e val, it tempers out 540/539, 5632/5625, 6250/6237, and 12005/11979 in the 11-limit; 364/363, 676/675, 1716/1715, and 3584/3575 in the 13-limit.
251edo is the 54th prime EDO.
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.83 | +0.94 | +1.69 | +1.67 | -1.52 | +0.91 | +1.77 | +0.22 | -1.10 | -2.26 | -1.98 |
| Relative (%) | +17.4 | +19.6 | +35.4 | +34.9 | -31.7 | +19.0 | +37.0 | +4.7 | -23.0 | -47.2 | -41.4 | |
| Steps (reduced) |
398 (147) |
583 (81) |
705 (203) |
796 (43) |
868 (115) |
929 (176) |
981 (228) |
1026 (22) |
1066 (62) |
1102 (98) |
1135 (131) | |