3888/3887
Jump to navigation
Jump to search
Ratio
3888/3887
Factorization
24 × 35 × 13-2 × 23-1
Monzo
[4 5 0 0 0 -2 0 0 -1⟩
Size in cents
0.44533352¢
Names
shoalma,
vicetride comma
Color name
23u3uu-2, twethuthuthu negative 2nd,
Twethuthuthu comma
FJS name
[math]\text{A1}_{13,13,23}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
23.8493
Weil height (log2 max(n, d))
23.8496
Wilson height (sopfr(nd))
72
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20094 bits
Comma size
unnoticeable
S-expression
S24 / S26
open this interval in xen-calc
| Interval information |
vicetride comma
Twethuthuthu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
3888/3887, the shoalma 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 (13/12)2, or between 23/12 and (18/13)2 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.