Llywelynsma: Difference between revisions

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The '''llywelynsma''' or '''llywelyn comma''' ({{monzo|legend=1| 22 0 -1 -7 }}, [[ratio]]: 4194304/4117715) is a [[medium comma|medium]] [[7-limit]] [[comma]]. It is the amount by which seven [[8/7]]'s exceed an [[octave]] plus a [[5/4]].  
The '''llywelynsma''' or '''llywelyn comma''' ({{monzo|legend=1| 22 0 -1 -7 }}, [[ratio]]: 4194304/4117715) is a [[medium comma|medium]] [[7-limit]] [[comma]]. It is the amount by which seven [[8/7]]'s exceed an [[octave]] plus a [[5/4]].  


== Temperaments ==
== Temperaments ==
Tempering out this comma in the 7-limit leads to the '''llywelynsmic temperament''', or in the 2.5.7 [[subgroup]], the [[Llywelynsmic clan #Llywelyn a.k.a. shoe|llywelyn]] temperament. Edos tempering it out includes [[16edo]] and [[37edo]].
[[Tempering out]] this comma in the 7-limit leads to the rank-3 '''llywelynsmic''' temperament, or in the [[2.5.7 subgroup]], the rank-2 [[llywelyn]] temperament. Edos tempering it out includes [[16edo]], [[21edo]] and [[37edo]].


== Etymology ==
== Etymology ==
This comma was named by [[User:Flirora|+merlan #flirora]] in 2021 after [[Wikipedia: Llywelyn Bren|Llywelyn Bren]].
This comma was named by [[User:Flirora|+merlan #flirora]] in 2021 after {{w|Llywelyn Bren}}.


[[Category:Llywelynsmic]]
[[Category:Llywelynsmic]]
[[Category:Commas named after individuals]]
[[Category:Commas named after individuals]]

Latest revision as of 05:31, 3 November 2026

Interval information
Ratio 4194304/4117715
Factorization 222 × 5-1 × 7-7
Monzo [22 0 -1 -7⟩
Size in cents 31.90494 ¢
Names llywelynsma,
llywelyn comma
Color name sr7g-3, sasepru-agu negative 3rd
FJS name [math]\displaystyle{ \text{d}{-3}_{5,7,7,7,7,7,7,7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 43.9734
Weil norm (log2 max(n, d)) 44
Wilson norm (sopfr(nd)) 98
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 rank-3 llywelynsmic temperament, or in the 2.5.7 subgroup, the rank-2 llywelyn temperament. Edos tempering it out includes 16edo, 21edo and 37edo.

Etymology

This comma was named by +merlan #flirora in 2021 after Llywelyn Bren.