263edo
263EDO is the equal division of the octave into 263 parts of 4.5627 cents each. 263EDO is the 56th prime EDO. 263EDO is accurate for the 17th harmonic, as the denominator of a convergent to log217, after 80 and before 343.
| ← 262edo | 263edo | 264edo → |
It tempers out 393216/390625 (Würschmidt comma) and |50 -33 1> in the 5-limit. Using the patent val, it tempers out 4375/4374, 50421/50000, and 458752/455625 in the 7-limit; 441/440, 3388/3375, 16384/16335, and 26411/26244 in the 11-limit; 364/363, 2080/2079, 2197/2187, and 3584/3575 in the 13-limit; 595/594, 833/832, 936/935, and 1156/1155 in the 17-limit.
Using the 263d val, it tempers out 5120/5103, 16875/16807, and 1959552/1953125 in the 7-limit; 540/539, 1375/1372, 16384/16335, and 43923/43750 in the 11-limit; 351/350, 1001/1000, 1573/1568, 2197/2187, and 4225/4224 in the 13-limit.
Using the 263df val, it tempers out 352/351, 640/637, 729/728, and 3584/3575 in the 13-limit.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.71 | +1.52 | -1.53 | +0.77 | -0.98 | -0.01 | -0.94 | +1.38 | +1.60 | +0.21 |
| Relative (%) | +0.0 | +15.5 | +33.3 | -33.4 | +16.9 | -21.6 | -0.3 | -20.5 | +30.3 | +35.1 | +4.6 | |
| Steps (reduced) |
263 (0) |
417 (154) |
611 (85) |
738 (212) |
910 (121) |
973 (184) |
1075 (23) |
1117 (65) |
1190 (138) |
1278 (226) |
1303 (251) | |