64/61: Difference between revisions

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'''64/61'''
{{Infobox Interval
| Name = harry minor semitone
| Color name = 61u2, siwu 2nd
| Sound = jid_64_61_pluck_adu_dr220.mp3
}}


= 2<span style="font-size: 80%; vertical-align: super;">6</span> * 61<span style="font-size: 80%; vertical-align: super;">-1</span>
'''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]].


83.1152 cents
== See also ==
* [[61/32]] – its [[octave complement]]


[[File:jid_64_61_pluck_adu_dr220.mp3]] [[:File:jid_64_61_pluck_adu_dr220.mp3|sound sample]]
[[Category:Second]]
 
[[Category:Semitone]]
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\130 and 7\101. It can also be described as the octave reduced 61st subharmonic.

Latest revision as of 10:05, 7 December 2024

Interval information
Ratio 64/61
Subgroup monzo 2.61 [6 -1
Size in cents 83.11519¢
Name harry minor semitone
Color name 61u2, siwu 2nd
FJS name [math]\displaystyle{ \text{m2}_{61} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 11.9307
Weil height (log2 max(n, d)) 12
Wilson height (sopfr(nd)) 73

[sound info]
Open this interval in xen-calc

64/61 is the octave-reduced 61st subharmonic. It is flat of the 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 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\130 and 7\101.

See also