116edo
| ← 115edo | 116edo | 117edo → |
116edo tempers out 20000/19683 (tetracot comma) and 2197265625/2147483648 (wizard comma) in the 5-limit. Using the patent val, it tempers out 225/224, 15625/15309, and 51200/50421 in the 7-limit; 385/384, 540/539, 4000/3993, and 6655/6561 in the 11-limit; 169/168, 275/273, 352/351, and 640/637 in the 13-limit. 116edo provides the optimal patent val for submajor temperament.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +1.49 | -3.56 | +3.59 | -3.04 | -2.60 | -1.51 | +2.49 | +2.76 | +4.91 | +3.24 |
| Relative (%) | +0.0 | +14.4 | -34.4 | +34.7 | -29.4 | -25.1 | -14.6 | +24.0 | +26.7 | +47.4 | +31.3 | |
| Steps (reduced) |
116 (0) |
184 (68) |
269 (37) |
326 (94) |
401 (53) |
429 (81) |
474 (10) |
493 (29) |
525 (61) |
564 (100) |
575 (111) | |