71edo
The 71 equal temperament or 71-EDO divides the octave into 71 equal parts of 16.901 cents each. It tempers out 20480/19683 and 393216/390625 in the 5-limit, 875/864, 4000/3969 and 1029/1024 in the 7-limit, 245/242 and 100/99 in the 11-limit, and 91/90 in the 13-limit. In the 13-limit it supplies the optimal patent val for the 29&71 and 34&37 temperaments.
71edo is the 20th prime EDO.
| Prime number | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | |
|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +7.90 | +2.42 | -5.45 | +6.43 | +4.54 | -3.55 | +6.71 | -2.92 |
| relative (%) | +46.8 | +14.3 | -32.2 | +38.0 | +26.9 | -21.0 | +39.7 | -17.3 | |
| Degree (reduced) | 113 (42) | 165 (23) | 199 (57) | 246 (33) | 263 (50) | 290 (6) | 302 (18) | 321 (37) | |