218edo
218edo, having a step size of 5.50458715596 cents, contains very accurate ratios, such as 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10 and 17/16 (sizes are approximated within 5.5 cents).
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:
- 3-limit
- 1/1
- 5-limit
- 20000/19683
- 7-limit
- 4000/3969 65625/65536 245/243 2401/2400 60025/59049
- 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