29edo: Difference between revisions
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29edo divides the 2:1 [[Octave|octave]] into 29 equal steps of approximately 41.37931 [[cent|cents]]. It is the 10th [[prime_numbers|prime]] edo, following [[23edo|23edo]] and coming before [[31edo|31edo]]. | 29edo divides the 2:1 [[Octave|octave]] into 29 equal steps of approximately 41.37931 [[cent|cents]]. It is the 10th [[prime_numbers|prime]] edo, following [[23edo|23edo]] and coming before [[31edo|31edo]]. | ||
29 is the lowest edo which approximates the [[3/2|3:2]] just fifth more accurately than [[12edo|12edo]]: 3/2 = 701.955... cents; 17 degrees of 29edo = 703.448... cents. Since the fifth is slightly sharp, 29edo is a [ | 29 is the lowest edo which approximates the [[3/2|3:2]] just fifth more accurately than [[12edo|12edo]]: 3/2 = 701.955... cents; 17 degrees of 29edo = 703.448... cents. Since the fifth is slightly sharp, 29edo is a [https://en.xen.wiki/w/Erv_Wilson%27s_Linear_Notations positive temperament] -- a Superpythagorean instead of a Meantone system. | ||
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