600edo: Difference between revisions

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{{EDO intro|600}} ~~Because the step size is 2 cents, it is the smallest edo where every possible interval is tuned within 1 cent of error.~~

== Theory ==

600edo 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, supporting septimal [[mutt]].

=== Prime harmonics ===

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=== Subsets and supersets ===

Since 600 factors into 2<sup>3</sup> × 3 × 5<sup>2</sup>, it has subset edos {{EDOs| 2, 3, 4, 5, 6, 8, 10, 12, 15, 24, 25, 30, 40, 60, 100, 200, and 300 }}.

Since 600 = 6 x 100, one step of 600edo is named ''centitone'', being a relative cent of [[6edo]], otherwise known as the whole tone scale. In addition, because the step size is 2 cents, it is the smallest edo where every possible interval is tuned within 1 cent of error.

== Regular temperament properties ==

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 {{Infobox ET}}
-{{EDO intro|600}} Because the step size is 2 cents, it is the smallest edo where every possible interval is tuned within 1 cent of error.
+{{EDO intro|600}}
 == Theory ==
 edo 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, supporting septimal [[mutt]].
 === Prime harmonics ===
 {{Harmonics in equal|600}}
@@ Line 10: / Line 9: @@
 === Subsets and supersets ===
 Since 600 factors into 2<sup>3</sup> × 3 × 5<sup>2</sup>, it has subset edos {{EDOs| 2, 3, 4, 5, 6, 8, 10, 12, 15, 24, 25, 30, 40, 60, 100, 200, and 300 }}.
+Since 600 = 6 x 100, one step of 600edo is named ''centitone'', being a relative cent of [[6edo]], otherwise known as the whole tone scale. In addition, because the step size is 2 cents, it is the smallest edo where every possible interval is tuned within 1 cent of error.
 == Regular temperament properties ==