961/960

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Interval information
Ratio 961/960
Subgroup monzo 2.3.5.31 [-6 -1 -1 2
Size in cents 1.8024302¢
Name tricesimoprimal quarter-tones comma
Color name Bithiwo-agu comma
FJS name [math]\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]\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