313edo: Difference between revisions

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The ''313 equal division'' divides the octave into 313 equal parts of 3.834 cents each. It provides the [[Optimal_patent_val|optimal patent val]] for 11- and 13-limit [[Porwell_temperaments#Hemischis|hemischis temperament]] and the rank three [[Cataharry_family|madagascar temperament]]. It tempers out the schisma, 32805/32768, in the 5-limit; 6144/6125 and 19683/19600 in the 7-limit; 540/539, 5632/5625 and 8019/8000 in the 11-limit; and 351/350 and 676/675 in the 13-limit.
'''313EDO''' is the [[EDO|equal division of the octave]] into 313 parts of 3.83387 [[cent]]s each. It provides the [[Optimal_patent_val|optimal patent val]] for 11- and 13-limit [[Porwell_temperaments#Hemischis|hemischis temperament]] and the rank three [[Cataharry_family|madagascar temperament]]. It tempers out the schisma, 32805/32768, in the 5-limit; 6144/6125 and 19683/19600 in the 7-limit; 540/539, 5632/5625 and 8019/8000 in the 11-limit; 351/350 and 676/675 in the 13-limit.
 
313EDO is the 65th [[prime EDO]].


=Scales=
=Scales=
[[madagascar19|madagascar19]]     [[Category:313edo]]
*[[Madagascar19]]
[[Category:edo]]
 
[[Category:Edo]]
[[Category:Prime EDO]]
[[Category:todo:add_definition]]
[[Category:todo:add_definition]]

Revision as of 08:41, 17 March 2019

313EDO is the equal division of the octave into 313 parts of 3.83387 cents each. It provides the optimal patent val for 11- and 13-limit hemischis temperament and the rank three madagascar temperament. It tempers out the schisma, 32805/32768, in the 5-limit; 6144/6125 and 19683/19600 in the 7-limit; 540/539, 5632/5625 and 8019/8000 in the 11-limit; 351/350 and 676/675 in the 13-limit.

313EDO is the 65th prime EDO.

Scales