961/960

Interval information

Ratio	961/960
Subgroup monzo	2.3.5.31 [-6 -1 -1 2⟩
Size in cents	1.80243¢
Name	tricesimoprimal quarter-tones comma
Color name	Bithiwo-agu comma
FJS name	[math]\displaystyle{ \text{m}{-2}^{31,31}_{5} }[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	19.8153
Weil height (log2 max(n, d))	19.8168
Wilson height (sopfr(nd))	82
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.22853 bits
Comma size	unnoticeable
S-expression	S31
Open this interval in xen-calc

961/960, the tricesimoprimal quarter-tones comma is a 31-limit or 2.3.5.31-subgroup superparticular comma of about 1.8 cents. It is so named as it forms the difference between the simplest quarter-tones formed from prime 31: 32/31 and 31/30. It is also more surprisingly the difference between 31/24 and 40/31, so that when tempered it splits 5/3 into two parts, which finds notable use in the strong canonical extension of sensipent.

Etymology

The name was proposed by Godtone in 2024 for completeness in creating the page for a commonly-encountered comma of subgroup harmony.

See also

• Unnoticeable comma
• List of superparticular intervals
• 1024/1023
• Sensipent