359edo

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359 tone equal temperament[edit]

359-tET or 359-EDO divides the octave in 359 parts of 3.34262 cents each. 359-EDO contains a very close approximation of the pure 3/2 fifth of 701.955 cents; with the 210\359 step of 701.94986 cents. 359-EDO supports a type of exaggered 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 Cents) minus the Pythagorean comma (23.46 Cents) = 678.495 cents, in 359-EDO this is the step 203\359 of 678.55153 cents.

Pythagorean diatonic scale: 61 61 27 61 61 61 27

Exaggered 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]).