179edo

The 179 equal division divides the octave into 179 steps of 6.704 cents each. It tempers out the parakleisma, |8 14 -13>, in the 5-limit, and supports parakleismic and its extensions, providing the optimal patent val for 11- and 13-limit parkleismic temperament. In the 7-limit it tempers out 3136/3125, 4375/4374 and 10976/10935, in the 11-limit 176/175 and 1375/1372 and in the 13-limit 169/168, 325/324, 351/350 and 352/351, providing the optimal patent val for 11- and 13-limit ulmo temperament. 179 is the 41st prime number, with all of the advantages and disadvantages that brings.