279edo: Difference between revisions

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279edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1|3]]. It [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo| -64 36 3 }} in the 5-limit, as well as {{monzo| -68 18 17 }} (vavoom comma); [[3136/3125]], [[19683/19600]], and [[823543/819200]] in the 7-limit. Using the [[patent val]], it tempers out [[441/440]], [[5632/5625]], 24057/24010, and 35937/35840 in the 11-limit; [[351/350]], [[676/675]], [[1716/1715]], [[4225/4224]], and [[6656/6655]] in the 13-limit.

5 steps of 279edo ~~closely represent~~ the syntonic comma, [[81/80]].

5 steps of 279edo is close to the syntonic comma, [[81/80]]. Unfortunately, it is not compatible with the patent val, but the 279c val.

=== Prime harmonics ===

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=== Subsets and supersets ===

Since 279 factors into {{factorization|279}}, 279edo has subset edos {{EDOs| 3, 9, 31, and 93 }}.

Since 279 factors into {{factorization|279}}, 279edo has subset edos {{EDOs| 3, 9, 31, and 93 }}. [[1395edo]], which divides its step into five, makes for a strong higher-limit system.

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 {{Infobox ET}}
-{{EDO intro}}
+{{ED intro}}
 edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1|3]]. It [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo| -64 36 3 }} in the 5-limit, as well as {{monzo| -68 18 17 }} (vavoom comma); [[3136/3125]], [[19683/19600]], and [[823543/819200]] in the 7-limit. Using the [[patent val]], it tempers out [[441/440]], [[5632/5625]], 24057/24010, and 35937/35840 in the 11-limit; [[351/350]], [[676/675]], [[1716/1715]], [[4225/4224]], and [[6656/6655]] in the 13-limit.
-steps of 279edo closely represent the syntonic comma, [[81/80]].
+steps of 279edo is close to the syntonic comma, [[81/80]]. Unfortunately, it is not compatible with the patent val, but the 279c val.
 === Prime harmonics ===
@@ Line 10: / Line 10: @@
 === Subsets and supersets ===
-Since 279 factors into {{factorization|279}}, 279edo has subset edos {{EDOs| 3, 9, 31, and 93 }}.
+Since 279 factors into {{factorization|279}}, 279edo has subset edos {{EDOs| 3, 9, 31, and 93 }}. [[1395edo]], which divides its step into five, makes for a strong higher-limit system.