323/322
Jump to navigation
Jump to search
| Ratio | 323/322 |
| Factorization | 2-1 × 7-1 × 17 × 19 × 23-1 |
| Monzo | [-1 0 0 -1 0 0 1 1 -1⟩ |
| Size in cents | 5.3681719¢ |
| Name | major semivicema |
| Color name | 23u19o17or1, twethunosoru 1sn, Twethunosoru comma |
| FJS name | [math]\text{d2}^{17,19}_{7,23}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 16.6663 |
| Weil height (log2 max(n, d)) | 16.6708 |
| Wilson height (sopfr(nd)) | 68 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.46349 bits |
| Comma size | small |
| open this interval in xen-calc | |
323/322, the major semivicema is a 23-limit superparticular comma measuring about 5.37 cents. It forms the difference between 17/14 (septendecimal semi-minor third) and 23/19 (vicesimotertial semi-minor third).
Etymology
The name major semivicema is contrast to the minor semivicema, 392/391, measuring about 4.42¢, which is the difference between 17/14 and 28/23. 323/322 is larger than 392/391 by a 19-limit unnoticeable comma, 5491/5488. The word semivicema was introduced by Xenllium in 2023. It is a contraction of semi-minor vicesimotertial comma into a single word.