359edo: Difference between revisions
Expansion |
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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 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 | 359edo [[support]]s 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 | Pythagorean diatonic scale: 61 61 27 61 61 61 27 | ||
Revision as of 18:34, 25 January 2022
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.
Prime harmonics
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