216edo

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216edo is the equal division of the octave into 216 parts of 5.5556 cents each. It is inconsistent to the 5-limit and higher limit, with four mappings possible for the 13-limit: <216 342 502 606 747 799| (patent val), <216 343 502 607 748 800| (216bdef), <216 342 501 606 747 799| (216c), and <216 342 502 607 747 799| (216d). Using the patent val, it tempers out 531441/524288 and 1990656/1953125 in the 5-limit; 126/125, 1029/1024, and 118098/117649 in the 7-limit; 243/242, 3388/3375, 41503/41472, and 43923/43904 in the 11-limit; 676/675, 847/845, 1287/1280, 1701/1690, and 1716/1715 in the 13-limit. Using the 216bdef val, it tempers out 2048/2025 and |1 -46 31> in the 5-limit; 3136/3125, 4000/3969, and 40353607/39858075 in the 7-limit; 2560/2541, 3025/3024, 3388/3375, and 12005/11979 in the 11-limit; 325/324, 364/363, 640/637, and 1716/1715 in the 13-limit. Using the 216c val, it tempers out 15625/15552 and 531441/524288 in the 5-limit; 225/224, 1029/1024, and 4375/4374 in the 7-limit; 243/242, 385/384, 441/440, and 4000/3993 in the 11-limit; 2200/2197 and 2205/2197 in the 13-limit. Using the 216d val, it tempers out 2430/2401, 3136/3125, and 531441/524288 in the 7-limit; 176/175, 243/242, 1375/1372, and 131769/131072 in the 11-limit; 676/675, 1188/1183, 1287/1280, and 3042/3025 in the 13-limit.