Llywelynsma: Difference between revisions

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- link to dissolved clan; note 21edo as a tuning
 
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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 4194304/4117715
| Ratio = 4194304/4117715
| Monzo = 22 0 -1 -7
| Name = llywelynsma, llywelyn comma
| Cents = 31.9049
| Color name = sr<sup>7</sup>g-3, sasepru-agu negative 3rd
| Name = ultrapyth comma
| Comma = yes
| Sound =
| Color name =  
| FJS name = d-3<sub>5,7,7,7,7,7,7,7</sub>
}}
}}
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]].


'''4194304/4117715''', the '''ultrapyth comma''', is a 7-limit medium comma. It is the amount by which seven [[8/7]]s exceed an octave plus a [[5/4]]. It is tempered by [[32edo]] and [[37edo]].
== 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]].


[[Category: 7-limit]]
== Etymology ==
[[Category: Medium comma]]
This comma was named by [[User:Flirora|+merlan #flirora]] in 2021 after {{w|Llywelyn Bren}}.
 
[[Category:Llywelynsmic]]
[[Category:Commas named after individuals]]