359edo: Difference between revisions

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'''359EDO''' is the [[EDO|equal division of the octave]] into 359 parts of 3.34262 [[cent]]s 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¢.

~~359-tET or 359-EDO divides the octave into 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 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 ~~359-EDO~~ this is the step 203\359 of 678.55153¢.

Pythagorean diatonic scale: 61 61 27 61 61 61 27

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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]).

[[Category:~~edo~~]]

359EDO is the 72nd [[prime EDO]].

[[Category:Edo]]

[[Category:Prime EDO]]

[[Category:nano]]

[[Category:theory]]

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+'''359EDO''' is the [[EDO|equal division of the octave]] into 359 parts of 3.34262 [[cent]]s each.
 =359 tone equal temperament=
+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. 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¢.
--tET or 359-EDO divides the octave into 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 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 359-EDO this is the step 203\359 of 678.55153¢.
 Pythagorean diatonic scale: 61 61 27 61 61 61 27
@@ Line 7: / Line 8: @@
 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]).
-[[Category:edo]]
+EDO is the 72nd [[prime EDO]].
+[[Category:Edo]]
+[[Category:Prime EDO]]
 [[Category:nano]]
 [[Category:theory]]