Llywelynsma

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Interval information
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
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

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.