218edo
218edo, having a step size of 5.50458715596 cents, contains very accurate ratios, such as 7/4, 9/7, 8/7, 9/8, 10/9, 11/10 and 17/16 which are approximated within 0.55¢ deviation (10% the step size).
| ← 217edo | 218edo | 219edo → |
The following table shows the nearest matches for the interval, not the matches from the patent val. Bold numbers are off within less than 0.1 (10%) of the step size.
| Interval fraction | 3/2 | 4/3 | 5/4 | 8/5 | 5/3 | 6/5 | 7/4 | 8/7 | 10/9 | 9/5 | 9/8 | 16/9 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Steps in 218edo | 128 | 90 | 70 | 148 | 161 | 57 | 176 | 42 | 33 | 185 | 37 | 181 |
Suggested subgroups: 2.9.7.17 and 2.9.5.7.11.17.
Also explore 436edo.
Commas using the 13-limit patent val:
- 5-limit
- 20000/19683, 1220703125/1207959552
- 7-limit
- 4000/3969, 65625/65536, 245/243, 2401/2400 117649/116640
- 11-limit
- 4000/3993, 12005/11979, 16384/16335, 4375/4356, 78125/77616, 896/891, 67228/66825, 1375/1372, 6875/6804, 5632/5625, 385/384, 94325/93312, 15488/15435, 75625/75264, 15488/15309, 3388/3375, 1331/1323, 6655/6561, 65219/64800, 43923/43904, 73205/72576,
- 13-limit
- 28672/28561, 86240/85683, 20480/20449, 5600/5577, 16807/16731, 25000/24843, 6125/6084, 86625/86528, 68992/68445, 58080/57967, 96800/95823, 847/845, 41503/41067, 33275/33124, 65219/64896, 29575/29403, 4225/4224, 21632/21609, 676/675, 33124/32805, 9295/9261, 46475/45927, 13013/12960, 28561/28512