4-cent comma: Difference between revisions

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== Temperament ==
== Temperament ==
Tempering out this comma in the 3.5.11 subgroup results in a [[rank-2]] temperament. In 2026 this temperament was named ''Delta Centauri'' by [[User:CompactStar|CompactStar]], named after {{w|Delta Centauri|the star}}. This in the keeping with the star theming of other [[no-2s subgroup temperaments]], and is a slight reference to "4-cent" since delta is the 4th letter of the Greek alphabet.
Tempering out this comma in the 3.5.11 subgroup results in a rank-2 temperament, which was seemingly first discovered by [[User:MisterShafXen|MisterShafXen]] in 2025<ref>https://en.xen.wiki/index.php?title=4-cent_comma&diff=prev&oldid=183697</ref>, and named [[Delta centauri]] by [[User:CompactStar|CompactStar]] in 2026.
 
{{todo|add more proper data and maybe create an article for the temperament}}
 
[[Mapping]]: [(1 1 -2] (0 1 9])
 
TE tuning map: ~3=1902.102, ~5=2786.056, ~11=4151.382.


== See also ==
== See also ==
* [[Small comma]]
* [[Small comma]]
== References ==
<references />


[[Category:Commas named after their interval size]]
[[Category:Commas named after their interval size]]

Latest revision as of 19:43, 8 October 2026

Interval information
Ratio 1953125/1948617
Factorization 3-11 × 59 × 11-1
Monzo [0 -11 9 0 -1⟩
Size in cents 4.000473 ¢
Name 4-cent comma
Color name 1uy9-2, lutritriyo negative
2nd, Lutritriyo comma
FJS name [math]\displaystyle{ \text{ddd}{-2}^{5,5,5,5,5,5,5,5,5}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 41.7914
Weil norm (log2 max(n, d)) 41.7947
Wilson norm (sopfr(nd)) 89
Comma size small
Open this interval in xen-calc

1953125/1948617, the 4-cent comma, is an 11-limit small comma almost exactly 4 cents in size. It is the difference between a stack of nine 6/5 minor thirds (octave-reduced) and a 128/99 paraminor fourth.

Temperament

Tempering out this comma in the 3.5.11 subgroup results in a rank-2 temperament, which was seemingly first discovered by MisterShafXen in 2025[1], and named Delta centauri by CompactStar in 2026.

See also

References

  1. ↑ https://en.xen.wiki/index.php?title=4-cent_comma&diff=prev&oldid=183697
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