525edo: Difference between revisions

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It supports the 140 & 525 temperament, with period 35 which sets 7/5 and 10/7 to two "legs" of 35edo (17\35 and 18\35) opposing the tonic and tempers out {{monzo| 34 0 70 -70 }}, setting a circle of thirty-five [[50/49]]'s equal with the octave.

525edo supports 21st-octave period called [[akjayland]], and the 23-limit extension of akjayland called [[21st-octave temperaments|vasca]], defined as 357 & 525. It is more suitable to view this temperament as vasca in 525edo as opposed to simply akjayland, since 525edo is consistent in the 23-limit, while other EDOs which support akjayland are not. ~~In addition to splitting octave into 21 parts~~, 525edo also supports the relationship that sets 11\21 to [[23/16]].

525edo supports 21st-octave period called [[akjayland]], and the 23-limit extension of akjayland called [[21st-octave temperaments|vasca]], defined as 357 & 525. It is more suitable to view this temperament as vasca in 525edo as opposed to simply akjayland, since 525edo is consistent in the 23-limit, while other EDOs which support akjayland are not. As a corollary of supporting vasca, 525edo also supports the relationship that sets 11\21 to [[23/16]].

=== Prime harmonics ===

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 It supports the 140 & 525 temperament, with period 35 which sets 7/5 and 10/7 to two "legs" of 35edo (17\35 and 18\35) opposing the tonic and tempers out {{monzo| 34 0 70 -70 }}, setting a circle of thirty-five [[50/49]]'s equal with the octave.
-edo supports 21st-octave period called [[akjayland]], and the 23-limit extension of akjayland called [[21st-octave temperaments|vasca]], defined as 357 & 525. It is more suitable to view this temperament as vasca in 525edo as opposed to simply akjayland, since 525edo is consistent in the 23-limit, while other EDOs which support akjayland are not. In addition to splitting octave into 21 parts, 525edo also supports the relationship that sets 11\21 to [[23/16]].
+edo supports 21st-octave period called [[akjayland]], and the 23-limit extension of akjayland called [[21st-octave temperaments|vasca]], defined as 357 & 525. It is more suitable to view this temperament as vasca in 525edo as opposed to simply akjayland, since 525edo is consistent in the 23-limit, while other EDOs which support akjayland are not. As a corollary of supporting vasca, 525edo also supports the relationship that sets 11\21 to [[23/16]].
 === Prime harmonics ===