29edo: Difference between revisions

General cleanup
Intro
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'''29edo''' divides the 2:1 [[octave]] into 29 equal steps of approximately 41.37931 [[cent|cents]]. It is the 10th [[prime_numbers|prime]] edo, following [[23edo]] and coming before [[31edo]].


== Theory ==
== Theory ==
29edo divides the 2:1 [[octave]] into 29 equal steps of approximately 41.37931 [[cent|cents]]. It is the 10th [[prime_numbers|prime]] edo, following [[23edo]] and coming before [[31edo]].


29 is the lowest edo which approximates the [[3/2]] just fifth more accurately than [[12edo]]: 3/2 = 701.955… cents; 17 degrees of 29edo = 703.448… cents. Since the fifth is slightly sharp, 29edo is a [[Erv Wilson's Linear Notations|positive temperament]] – a Superpythagorean instead of a Meantone system.
29 is the lowest edo which approximates the [[3/2]] just fifth more accurately than [[12edo]]: 3/2 = 701.955… cents; 17 degrees of 29edo = 703.448… cents. Since the fifth is slightly sharp, 29edo is a [[Erv Wilson's Linear Notations|positive temperament]] – a Superpythagorean instead of a Meantone system.