961/960
Jump to navigation
Jump to search
| 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.