271edo: Difference between revisions

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'''271 EDO''' divides the [[Octave|octave]] into 271 [[Equal|equal]] intervals, each 4.428 [[cent|cent]]s in size. It tempers out 4000/3969 and 65625/65536 in the 7-limit, 896/891 and 1375/1372 in the 11-limit, and 352/351, 364/363, 676/675, 1575/1573 and 2200/2197 in the 13-limit. It is an optimal patent val by some measures for the 13-limit pentacircle temperament, tempering out 352/351 and 364/363 on the 2.11/7.13/7 subgroup of the 13-limit.
'''271 EDO''' divides the [[Octave|octave]] into 271 [[Equal-step tuning|equal]] intervals, each 4.428044 [[cent]]s in size. It tempers out 4000/3969 and 65625/65536 in the 7-limit, 896/891 and 1375/1372 in the 11-limit, and 352/351, 364/363, 676/675, 1575/1573 and 2200/2197 in the 13-limit. It is an optimal patent val by some measures for the 13-limit pentacircle temperament, tempering out 352/351 and 364/363 on the 2.11/7.13/7 subgroup of the 13-limit.
 
271EDO is the 58th [[prime EDO]].


=Scales=
=Scales=
[[pepperoni7|pepperoni7]]
*[[Pepperoni7]]
 
*[[Pepperoni12]]
[[pepperoni12|pepperoni12]]
*[[Cantonpenta]]


[[cantonpenta|cantonpenta]]      [[Category:271edo]]
[[Category:Edo]]
[[Category:edo]]
[[Category:Prime EDO]]

Revision as of 06:26, 13 March 2019

271 EDO divides the octave into 271 equal intervals, each 4.428044 cents in size. It tempers out 4000/3969 and 65625/65536 in the 7-limit, 896/891 and 1375/1372 in the 11-limit, and 352/351, 364/363, 676/675, 1575/1573 and 2200/2197 in the 13-limit. It is an optimal patent val by some measures for the 13-limit pentacircle temperament, tempering out 352/351 and 364/363 on the 2.11/7.13/7 subgroup of the 13-limit.

271EDO is the 58th prime EDO.

Scales