69edo: Difference between revisions

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The ~~<b>~~69 equal division~~</b>~~ or ~~<b>~~69-EDO~~</b>~~, 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]]". 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.

In the [[7-limit]] it is a mohajira system, tempering out 6144/6125, but not a septimal meantone system, as [[126/125]] maps to one step. It also supports the 12&69 temperament tempering out 3125/3087 along with [[81/80]]. In the 11-limit it tempers out [[99/98]], and supports the 31&69 variant of mohajira, identical to the standard 11-limit mohajira in 31 but not in 69.

Revision as of 21:35, 9 June 2020 view source CritDeathX (talk \| contribs) autopatrolled 398 edits m You know why I added that word Tag: Visual edit ← Older edit		Revision as of 21:49, 9 June 2020 view source Xenwolf (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 8,705 edits No clue. Why "Nice"? Newer edit →
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	The ~~<b>~~69 equal division~~</b>~~ or ~~<b>~~69-EDO~~</b>~~, 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]]". 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.

	In the [[7-limit]] it is a mohajira system, tempering out 6144/6125, but not a septimal meantone system, as [[126/125]] maps to one step. It also supports the 12&69 temperament tempering out 3125/3087 along with [[81/80]]. In the 11-limit it tempers out [[99/98]], and supports the 31&69 variant of mohajira, identical to the standard 11-limit mohajira in 31 but not in 69.		In the [[7-limit]] it is a mohajira system, tempering out 6144/6125, but not a septimal meantone system, as [[126/125]] maps to one step. It also supports the 12&69 temperament tempering out 3125/3087 along with [[81/80]]. In the 11-limit it tempers out [[99/98]], and supports the 31&69 variant of mohajira, identical to the standard 11-limit mohajira in 31 but not in 69.