323/322

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~1.46349 bits
Comma size	small
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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.

See also

• Small comma
• List of superparticular intervals