Llywelynsma
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Ratio
4194304/4117715
Factorization
222 × 5-1 × 7-7
Monzo
[22 0 -1 -7⟩
Size in cents
31.904941¢
Names
llywelynsma,
llywelyn comma
Color name
sr7g-3, sasepru-agu negative 3rd
FJS name
[math]\text{d}{-3}_{5,7,7,7,7,7,7,7}[/math]
Special properties
reduced,
reduced subharmonic
Tenney height (log2 nd)
43.9734
Weil height (log2 max(n, d))
44
Wilson height (sopfr(nd))
98
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.48486 bits
Comma size
medium
open this interval in xen-calc
Interval information |
llywelyn comma
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
The llywelynsma or llywelyn comma (monzo: [22 0 -1 -7⟩, ratio: 4194304/4117715) is a medium 7-limit comma. It is the amount by which seven 8/7's exceed an octave plus a 5/4.
Temperaments
Tempering out this comma in the 7-limit leads to the llywelynsmic temperament, or in the 2.5.7 subgroup, the llywelyn temperament. Edos tempering it out includes 16edo and 37edo.
Etymology
This comma was named by +merlan #flirora in 2021 after Llywelyn Bren.