Berylisma

Interval information

Ratio	1874161/1874048
Subgroup monzo	2.11.37 [-7 -4 4⟩
Size in cents	0.1043856¢
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{nd}[/math])	~1.19991 bits
Comma size	unnoticeable
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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.