64/61

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]\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
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.32282 bits
[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

• 61/32 – its octave complement