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 norm (log2 nd)	19.8153
Weil norm (log2 max(n, d))	19.8168
Wilson norm (sopfr(nd))	82
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, along with escapade.

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