323/322
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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
5.368172¢
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
| Interval information |
twethunosoru 1sn,
Twethunosoru comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.