359edo

From Xenharmonic Wiki
Jump to navigation Jump to search

359EDO is the equal division of the octave into 359 parts of 3.34262 cents each.

359 tone equal temperament

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. 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]).

359EDO is the 72nd prime EDO.