From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 1874161/1874048
Subgroup monzo 2.11.37 [-7 -4 4
Size in cents 0.10438556¢
Name Berylisma
Color name quadthisolu fourth, 37o41u44
FJS name [math]\text{d}{-2}^{37,37,37,37}_{11,11,11,11}[/math]
Special properties reduced
Tenney height (log2 nd) 41.6755
Weil height (log2 max(n, d)) 41.6756
Wilson height (sopfr (nd)) 206
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.39754 bits
Comma size unnoticeable
open this interval in xen-calc

The berylisma, 1874161/1874048, is an unnoticeable comma in the 2.11.37 subgroup that is the difference between a stack of four 44/37 thirds and an octave, which is notable because 44/37 is a continued fraction convergent to the 4th root of 2.

The name is a reference to beryllium, following the tradition of naming fractional-octave temperaments after elements. However, the associated temperament with the comma is the rank-11 berylismic temperament in the 37-limit, and rank-2 berylic. in the 2.11.37 subgroup. See 4th-octave temperaments#Berylic.