Vermeil comma: Difference between revisions

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== Overview ==
{{Infobox interval
The Vermeil comma ([[Monzo]]: [—136; -34; 0; 68⟩), is an interval of 13.691 cents which is the amount by which thirty-four 49/48’s exceed an octave, (2/(49/48)^34). It is a [[7-limit]] small comma.
| Monzo = -137 -34 0 68
| Name = vermeil comma
| FJS name = -
| Color name = quinla-sequadzo 28th
| Calc = (49/48)^34/2
| Comma = yes
}}
The '''vermeil comma''', or systematically '''34-49/48-comma''' ({{monzo|legend=1| -136 -34 0 68 }}), is a [[small comma|small]] [[7-limit]]  [[comma]] of about 13.7 [[cent]]s. It is the amount by which a stack of thirty-four [[49/48]]'s exceeds an [[2/1|octave]], 2/(49/48)<sup>34</sup>.  


It is best approximated by [[44edo|44EDO]], with 1 EDOstep = 13.581c.
== Approximation ==
This interval's size equals one step of 87.649…edo, so it is best approximated by [[88edo]], with 1\88 = 13.6364 cents.
 
== Etymology ==
This comma was named by [[User:Perry.k|Perry.k]] in 2026.
 
[[Category:Vermeil]]
[[Category:Commas with unknown etymology]]

Latest revision as of 02:47, 25 May 2026

Interval information
Factorization 2-137 × 3-34 × 768
Monzo [-137 -34 0 68
Size in cents 13.69161¢
Name vermeil comma
Color name quinla-sequadzo 28th
FJS name [math]\displaystyle{ - }[/math]
Special properties reduced
Tenney norm (log2 nd) 381.789
Weil norm (log2 max(n, d)) 381.8
Wilson norm (sopfr(nd)) 852
Comma size small
Open this interval in xen-calc

The vermeil comma, or systematically 34-49/48-comma (monzo[-136 -34 0 68), is a small 7-limit comma of about 13.7 cents. It is the amount by which a stack of thirty-four 49/48's exceeds an octave, 2/(49/48)34.

Approximation

This interval's size equals one step of 87.649…edo, so it is best approximated by 88edo, with 1\88 = 13.6364 cents.

Etymology

This comma was named by Perry.k in 2026.