271edo: Difference between revisions
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'''271 | The '''271 equal divisions of the octave''' divides the [[octave]] into 271 [[equal]] intervals, each 4.428044 [[cent]]s in size. 271edo is the last edo whose perfect fifth is tuned worse than 12edo. It is inconsistent in the 5-limit. Using the [[patent val]], 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{{clarify}} 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]]. | 271EDO is the 58th [[prime EDO]]. | ||
=Scales= | == Scales == | ||
*[[Pepperoni7]] | * [[Pepperoni7]] | ||
*[[Pepperoni12]] | * [[Pepperoni12]] | ||
*[[Cantonpenta]] | * [[Cantonpenta]] | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
Revision as of 13:16, 9 August 2021
The 271 equal divisions of the octave divides the octave into 271 equal intervals, each 4.428044 cents in size. 271edo is the last edo whose perfect fifth is tuned worse than 12edo. It is inconsistent in the 5-limit. Using the patent val, 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[clarification needed] 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.