3888/3887

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¢
Names	shoal comma, vicetride comma
Color name	23u3uu-2, twethuthuthu negative 2nd, Twethuthuthu 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
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3888/3887, the shoal comma or 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 23/12 and 18/13² 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 systems 17edo and 147edo.

Etymology

The name vicetride was assigned by Xenllium, presumably from a contraction of "vicesimotertial" and "tridecimal", while the name shoal originates with CompactStar and comes from a contraction of "sharp whole tone", referring to the 26/23-generated temperament defined by this comma alongside 12168/12167 or equivalently the kwadransma.

See also

• Unnoticeable comma
• List of superparticular intervals