600edo: Difference between revisions

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== Theory ==

600edo has good approximations to [[harmonic]]s [[3/1|3]], [[5/1|5]], [[13/1|13]], and [[23/1|23]], on top of which we may consider adding [[7/1|7]] or [[19/1|19]]. The equal temperament [[tempering out|tempers out]] the [[tricot comma]], {{monzo| 39 -29 3 }}, and the [[mutt comma]], {{monzo| -44 -3 21 }} in the 5-limit, [[65625/65536]], [[250047/250000]], 5250987/5242880, and 28824005/28697814 in the 7-limit, [[support]]ing septimal [[mutt]]. The [[patent val]] is also a tuning for [[atomic]], ~~whereas~~ the 600e [[val]] is a tuning for atomic in the 11-limit~~. In addition, 600e val is a tuning~~ for 20th-octave temperament [[soviet ferris wheel]] as high as the 19-limit.

600edo has good approximations to [[harmonic]]s [[3/1|3]], [[5/1|5]], [[13/1|13]], and [[23/1|23]], on top of which we may consider adding [[7/1|7]] or [[19/1|19]]. The equal temperament [[tempering out|tempers out]] the [[tricot comma]], {{monzo| 39 -29 3 }}, and the [[mutt comma]], {{monzo| -44 -3 21 }} in the 5-limit, [[65625/65536]], [[250047/250000]], 5250987/5242880, and 28824005/28697814 in the 7-limit, [[support]]ing septimal [[mutt]]. The [[patent val]] is also a tuning for [[atomic]].

In the 11-limit, the 600e [[val]], {{Val|600 951 1393 684 '''2076'''}}, is better tuned than the patent val. 600e is a tuning for atomic in the 11-limit as well as for the 20th-octave temperament [[soviet ferris wheel]] as high as the 19-limit.

=== Prime harmonics ===

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 == Theory ==
-edo has good approximations to [[harmonic]]s [[3/1|3]], [[5/1|5]], [[13/1|13]], and [[23/1|23]], on top of which we may consider adding [[7/1|7]] or [[19/1|19]]. The equal temperament [[tempering out|tempers out]] the [[tricot comma]], {{monzo| 39 -29 3 }}, and the [[mutt comma]], {{monzo| -44 -3 21 }} in the 5-limit, [[65625/65536]], [[250047/250000]], 5250987/5242880, and 28824005/28697814 in the 7-limit, [[support]]ing septimal [[mutt]]. The [[patent val]] is also a tuning for [[atomic]], whereas the 600e [[val]] is a tuning for atomic in the 11-limit. In addition, 600e val is a tuning for 20th-octave temperament [[soviet ferris wheel]] as high as the 19-limit.
+edo has good approximations to [[harmonic]]s [[3/1|3]], [[5/1|5]], [[13/1|13]], and [[23/1|23]], on top of which we may consider adding [[7/1|7]] or [[19/1|19]]. The equal temperament [[tempering out|tempers out]] the [[tricot comma]], {{monzo| 39 -29 3 }}, and the [[mutt comma]], {{monzo| -44 -3 21 }} in the 5-limit, [[65625/65536]], [[250047/250000]], 5250987/5242880, and 28824005/28697814 in the 7-limit, [[support]]ing septimal [[mutt]]. The [[patent val]] is also a tuning for [[atomic]].
+In the 11-limit, the 600e [[val]], {{Val|600 951 1393 684 '''2076'''}}, is better tuned than the patent val. 600e is a tuning for atomic in the 11-limit as well as for the 20th-octave temperament [[soviet ferris wheel]] as high as the 19-limit.
 === Prime harmonics ===