64/61: Difference between revisions

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'''64/61''' ~~= 2<sup>6<~~/~~sup> ⋅ 61<sup>−1<~~/~~sup>,~~ the harry minor semitone, makes for a good tuning for [[~~Gravity family#Harry|~~harry ~~temperament~~]], and in particular is only 0.001 cents flat of the POTE generator for [[13-limit]] harry. It also makes for an excellent tuning for the generator of [[~~Kleismic family#Tritikleismic|~~tritikleismic ~~temperament~~]]; hence, harry consists of two parallel tracks of 64/61 steps and tritikleismic of three parallel tracks. As a fraction of an octave 64/61 falls between 9\[[130edo|130]] and 7\[[101edo|101]]. ~~It can~~ also ~~be described as the~~ [[~~Octave reduction|octave-reduced~~]] ~~61st~~ [[~~subharmonic~~]].

'''64/61''' is the [[Octave reduction|octave-reduced]] 61st [[subharmonic]]. It is flat of the [[256/243|Pythagorean limma (243/128)]] by [[244/243]]. It can also be described as the harry minor semitone, as it makes for a good tuning for [[harry]] temperament, and in particular is only 0.001 cents flat of the [[POTE tuning|POTE generator]] for [[13-limit]] harry. It also makes for an excellent tuning for the generator of [[tritikleismic]] temperament; hence, harry consists of two parallel tracks of 64/61 steps and tritikleismic of three parallel tracks. As a fraction of an octave 64/61 falls between 9\[[130edo|130]] and 7\[[101edo|101]].

== See also ==

* [[61/32]] – its [[octave complement]]

[[Category:Second]]

[[Category:Semitone]]

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-'''64/61''' = 2<sup>6</sup> ⋅ 61<sup>−1</sup>, the harry minor semitone, makes for a good tuning for [[Gravity family#Harry|harry temperament]], and in particular is only 0.001 cents flat of the POTE generator for [[13-limit]] harry. It also makes for an excellent tuning for the generator of [[Kleismic family#Tritikleismic|tritikleismic temperament]]; hence, harry consists of two parallel tracks of 64/61 steps and tritikleismic of three parallel tracks. As a fraction of an octave 64/61 falls between 9\[[130edo|130]] and 7\[[101edo|101]]. It can also be described as the [[Octave reduction|octave-reduced]] 61st [[subharmonic]].
+'''64/61''' is the [[Octave reduction|octave-reduced]] 61st [[subharmonic]]. It is flat of the [[256/243|Pythagorean limma (243/128)]] by [[244/243]]. It can also be described as the harry minor semitone, as it makes for a good tuning for [[harry]] temperament, and in particular is only 0.001 cents flat of the [[POTE tuning|POTE generator]] for [[13-limit]] harry. It also makes for an excellent tuning for the generator of [[tritikleismic]] temperament; hence, harry consists of two parallel tracks of 64/61 steps and tritikleismic of three parallel tracks. As a fraction of an octave 64/61 falls between 9\[[130edo|130]] and 7\[[101edo|101]].
+== See also ==
+* [[61/32]] – its [[octave complement]]
 [[Category:Second]]
 [[Category:Semitone]]