169edo

169 equal divisions per octave

169edo is the equal division of the octave into 169 parts of 5.38117 cents each. It is inconsistent to the 5-limit and higher limit, with two mappings possible for the 5-limit: <169 268 392| (optimal patent val) and <169 268 393| (169c). Using the optimal patent val, it tempers out the sycamore comma, 48828125/47775744 and the rodan comma, 131072000/129140163 in the 5-limit; 245/243, 1029/1024, and 9765625/9633792 in the 7-limit. Using the 169c val, it tempers out the valentine comma, 1990656/1953125 and the vulture comma, 10485760000/10460353203 in the 5-limit; 1728/1715, 5120/5103, and 235298/234375 in the 7-limit using the alternative 169cd val.