961/960
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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]\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
| Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.