218edo

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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).

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