333edo: Difference between revisions

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The ''333 equal temperament'' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it ~~supports~~ [[Kleismic_family#Countercata|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.

The ''333 equal temperament'' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it [[support]]s [[Kleismic_family#Countercata|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.

[[Category:countercata]]

[[Category:marveltwin]]

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-The ''333 equal temperament'' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports [[Kleismic_family#Countercata|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.
+The ''333 equal temperament'' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it [[support]]s [[Kleismic_family#Countercata|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.
 [[Category:countercata]]
 [[Category:marveltwin]]