179edo

Revision as of 21:14, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)

179edo is the equal division of the octave into 179 parts of 6.7039 cents each. It tempers out the parakleisma, 1224440064/1220703125 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.

← 178edo 179edo 180edo →
Prime factorization 179 (prime)
Step size 6.70391 ¢ 
Fifth 105\179 (703.911 ¢)
Semitones (A1:m2) 19:12 (127.4 ¢ : 80.45 ¢)
Consistency limit 7
Distinct consistency limit 7