198edo

The 198 equal temperament divides the octave into 198 parts of 6.061 cents each. It is contorted in the 7-limit, with the same tuning as 99edo, but makes for a good 11- and 13-limit system. Like 99, it tempers out 2401/2400, 4375/4374, 3136/3125, 5120/5103 and 6144/6125 in the 7-limit; in the 11-limit it tempers 3025/3024, 9801/9800 and 14641/14580; and in the 13-limit 352/351, 676/675, 847/845, 1001/1000, 1716/1715 and 2080/2079.

It is the optimal patent val for the rank five temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as hemimist, namaka and semicanou. It is distinctly consistent through the 15-limit, and has divisors 2, 3, 6, 9, 11, 18, 22, 33, 66 and 99.

Just approximation

		prime 2	prime 3	prime 5	prime 7	prime 11	prime 13	prime 17	prime 19	prime 23	prime 29	prime 31
Error	absolute (¢)	0.00	+1.08	+1.57	+0.87	+0.20	+1.90	-1.93	-0.54	+2.03	+0.73	+0.42
	relative (%)	0.0	+17.7	+25.8	+14.4	+3.3	+31.3	-31.8	-9.0	+33.5	+12.0	+6.9