227edo: Difference between revisions

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-The ''227 equal temperament'' divides the octave into 227 equal parts of 5.286 cents each. It tempers out the kleisma, 15625/15552, in the 5-limit and 5120/5103 in the 7-limit, so that it supports [[Kleismic_family#Countercata|countercata temperament]], and it also tempers out 117649/116640. In the 11-limit it tempers out 385/384 and it provides the [[Optimal_patent_val|optimal patent val]] for 11-limit countercata. 227 is the 49th prime EDO.
+'''227EDO''' is the [[EDO|equal division of the octave]] into 227 parts of 5.2863 [[cent]]s each. It tempers out 15625/15552 (kleisma) and |61 -37 -1&gt; in the 5-limit; 5120/5103, 65625/65536, and 117649/116640 in the 7-limit, so that it supports [[Kleismic_family#Countercata|countercata temperament]]. In the 11-limit, it tempers out 385/384, 2200/2187, 3388/3375, and 12005/11979, so that it provides the [[Optimal_patent_val|optimal patent val]] for 11-limit countercata. In the 13-limit, it tempers out 325/324, 352/351, 625/624, and 847/845. 227EDO is acculate for the 13th harmonic, as the denominator of a convergent to log<sub>2</sub>13, after [[10edo|10]] and before [[5231edo|5231]].
+EDO is the 49th prime EDO.
 [[Category:countercata]]
+[[Category:Edo]]
+[[Category:Prime EDO]]