69edo: Difference between revisions

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The '''69 equal division''' or '''69-EDO''', which divides the octave into 69 equal parts of 17.391 [[cent]]s each, has been called "the love-child of [[23edo]] and [[quarter-comma meantone]]". Nice. As a meantone system, it is on the flat side, with a fifth of 695.652 cents. Such a fifth is closer to 2/7-comma meantone than 1/4-comma, and is nearly identical to that of "Synch-Meantone", or Wilson's equal beating meantone, wherein the perfect fifth and the major third beat at equal rates. Therefore 69edo can be treated as a closed system of Synch-Meantone for most purposes.
The '''69 equal division''' or '''69-EDO''', which divides the octave into 69 equal parts of 17.391 [[cent]]s each, has been called "the love-child of [[23edo]] and [[quarter-comma meantone]]". As a meantone system, it is on the flat side, with a fifth of 695.652 cents. Such a fifth is closer to 2/7-comma meantone than 1/4-comma, and is nearly identical to that of "Synch-Meantone", or Wilson's equal beating meantone, wherein the perfect fifth and the major third beat at equal rates. Therefore 69edo can be treated as a closed system of Synch-Meantone for most purposes.
{{primes in edo|69}}
{{primes in edo|69}}