Berylisma: Difference between revisions
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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 '''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 | 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]] | [[Category:Commas named after elements]] | ||
Latest revision as of 09:47, 11 March 2026
| Interval information |
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.