961/960
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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 (log_{2} nd) | 19.8153 |
Weil height (log_{2} 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.