64/61: Difference between revisions

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{{Infobox Interval

~~| Ratio = 64/61~~

~~| Monzo = 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1~~

~~| Cents = 83.11519~~

| Name = harry minor semitone

| Color name = 61u2, siwu 2nd

~~| FJS name = m2<sub>61</sub>~~

| Sound = jid_64_61_pluck_adu_dr220.mp3

}}

'''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:61-limit]]~~

[[Category:Second]]

[[Category:Semitone]]

~~[[Category:Octave-reduced subharmonics]]~~

~~[[Category:Pages with internal sound examples]]~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 64/61
-| Monzo = 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
-| Cents = 83.11519
 | Name = harry minor semitone
 | Color name = 61u2, siwu 2nd
-| FJS name = m2<sub>61</sub>
 | Sound = jid_64_61_pluck_adu_dr220.mp3
 }}
-'''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:61-limit]]
 [[Category:Second]]
 [[Category:Semitone]]
-[[Category:Octave-reduced subharmonics]]
-[[Category:Pages with internal sound examples]]