359edo

The 359 equal divisions of the octave (359edo) is the equal division of the octave into 359 parts of 3.34262 cents each.

Theory

359edo contains a very close approximation of the pure 3/2 fifth of 701.955 cents, with the 210\359 step of 701.94986 cents. It provides the optimal patent val for the 11-limit hera temperament.

359edo supports a type of exaggerated Hornbostel mode, with an approximation of the blown fifth that he described of the pan flutes of some regions of South America; the Pythagorean fifth (701.955¢) minus the Pythagorean comma (23.46¢) = 678.495¢; in 359edo this is the step 203\359 of 678.55153¢.

Pythagorean diatonic scale: 61 61 27 61 61 61 27

Exaggerated Hornbostel superdiatonic scale: 47 47 47 15 47 47 47 47 15 (fails in the position of Phi and the square root of Pi [+1\359 step of each one]^{[clarification needed]}).

359edo is the 72nd prime EDO.