Llywelynsma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 4194304/4117715
| Ratio = 4194304/4117715
| Name = llywelyn comma
| Name = llywelynsma, llywelyn comma
| Comma = yes
| Comma = yes
}}
}}


'''4194304/4117715''', the '''llywelyn comma''' (named after [[Wikipedia:Llywelyn Bren|Llywelyn Bren]]), is a 7-limit medium comma. It is the amount by which seven [[8/7]]s exceed an octave plus a [[5/4]]. Tempering out this comma for the 2.5.7 subgroup leads to [[Subgroup temperaments#Llywelyn|llywelyn]] temperament, which includes [[16edo]] and [[37edo]].
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 ==
Tempering out this comma in the 7-limit leads to the '''llywelynsmic temperament''', or in the 2.5.7 [[subgroup]], the [[Llywelyn clan #Llywelyn|llywelyn]] temperament. Edos tempering it out includes [[16edo]] and [[37edo]].
 
== Etymology ==
This comma was named by [[User:Flirora|+merlan #flirora]] in 2021 after [[Wikipedia: Llywelyn Bren|Llywelyn Bren]].
 
[[Category:Llywelynsmic]]

Revision as of 06:37, 13 June 2023

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
FJS name [math]\displaystyle{ \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
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.