64/61: Difference between revisions

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[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Octave-reduced subharmonics]]
[[Category:Octave-reduced subharmonics]]
[[Category:Pages with internal sound examples]]

Revision as of 23:47, 22 February 2022

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 = 26 ⋅ 61−1, the harry minor semitone, 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. It can also be described as the octave-reduced 61st subharmonic.