3888/3887

3888/3887, the vicetride comma, is a 23-limit and 2.3.13.23-subgroup semiparticular comma of about 0.445 cents. It is the difference between 27/23 and 13/12², or between 48/23 and 13/9² and in this way tempering this comma out allows for the introduction of intervals of 23 into the 2.3.13 subgroup, like is done in the notable 2.3.13.23 systems 17edo and 70edo.

Interval information

Ratio	3888/3887
Factorization	24 × 35 × 13-2 × 23-1
Monzo	[4 5 0 0 0 -2 0 0 -1⟩
Size in cents	0.4453335¢
Name	vicetride comma
FJS name	[math]\displaystyle{ \text{A1}_{13,13,23} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	23.8493
Weil norm (log2 max(n, d))	23.8496
Wilson norm (sopfr(nd))	72
Comma size	unnoticeable
S-expression	S24/S26
Open this interval in xen-calc

Etymology

The name vicetride comma was assigned by Xenllium, presumably from a contraction of "vicesimotertial" and "tridecimal".

See also

• Unnoticeable comma
• List of superparticular intervals