279edo: Difference between revisions

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-'''279edo''' is the [[EDO|equal division of the octave]] into 279 parts of 4.3011 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and |-64 36 3&gt; in the 5-limit, as well as |-68 18 17&gt; (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.
+'''279edo''' is the [[EDO|equal division of the octave]] into 279 parts of 4.3011 cents each.
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+== Theory ==
+{{Harmonics in equal|279}}
+[[Category:Equal divisions of the octave|###]]
+It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and |-64 36 3&gt; in the 5-limit, as well as |-68 18 17&gt; (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]].<!-- 3-digit number -->