Llywelynsma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Fredg999 category edits (talk | contribs)
Plumtree (talk | contribs)
m Normalising usage of Infobox Interval
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 4194304/4117715
| Ratio = 4194304/4117715
| Monzo = 22 0 -1 -7
| Cents = 31.9049
| Name = llywelyn comma
| Name = llywelyn comma
| Sound =
| Comma = yes
| Color name =
| FJS name =  
}}
}}


'''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]].
'''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]].
[[Category: 7-limit]]
[[Category:Medium commas]]

Revision as of 17:42, 25 October 2022

Interval information
Ratio 4194304/4117715
Factorization 222 × 5-1 × 7-7
Monzo [22 0 -1 -7
Size in cents 31.90494¢
Name 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

4194304/4117715, the llywelyn comma (named after Llywelyn Bren), is a 7-limit medium comma. It is the amount by which seven 8/7s exceed an octave plus a 5/4. Tempering out this comma for the 2.5.7 subgroup leads to llywelyn temperament, which includes 16edo and 37edo.