61/32

Interval information

Ratio	61/32
Subgroup monzo	2.61 [-5 1⟩
Size in cents	1116.885¢
Name	octave-reduced 61st harmonic
Color name	61o7, siwo seventh
FJS name	[math]\displaystyle{ \text{M7}^{61} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	10.9307
Weil height (log2 max(n, d))	11.8615
Wilson height (sopfr(nd))	71
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.2526 bits
[sound info]
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61/32, the octave-reduced 61st harmonic. It is sharp of the Pythagorean major seventh (243/128) by 244/243. Being the octave complement of the harry minor semitone 64/61, it can also be used as a generator for harry and tritikleismic.

In addition, the convergent chain of edos of representing it is 14, 29, 101, 130, 231. These are notable tuning systems in their own way, and they can be used to introduce 61-limit harmony into lower-limit music.

See also

• 64/61 – its octave complement
• File:jid_61_32_pluck_adu_dr220.mp3 - another sound example
• Gallery of just intervals