Berylisma: Difference between revisions

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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]].
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]].
[[Category:Commas named after elements]]

Revision as of 03:05, 16 November 2024

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]\displaystyle{ \text{d}{-2}^{37,37,37,37}_{11,11,11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 41.6755
Weil norm (log2 max(n, d)) 41.6756
Wilson norm (sopfr(nd)) 206
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.