Berylisma
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Ratio | 1874161/1874048 |
Subgroup monzo | 2.11.37 [-7 -4 4⟩ |
Size in cents | 0.10438556¢ |
Name | Berylisma |
Color name | quadthisolu fourth, 37o^{4}1u^{4}4 |
FJS name | [math]\text{d}{-2}^{37,37,37,37}_{11,11,11,11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 41.6755 |
Weil height (log_{2} max(n, d)) | 41.6756 |
Wilson height (sopfr (nd)) | 206 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19991 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.