4-cent comma: Difference between revisions

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  {{Infobox Interval
  {{Infobox Interval
| Icon =
| Name = 4-cent comma
| Color name = 1uy<sup>9</sup>-2, lutritriyo negative<br>2nd, Lutritriyo comma
| Ratio = 1953125/1948617
| Ratio = 1953125/1948617
| Monzo = 0 -11 9 0 -1
| Comma = yes
| Cents = 4.000478
| Name = 4-cent comma
| Color name = 1uy<sup>9</sup>-2, lutritriyo negative 2nd
| FJS name = 3d-2<sup>5,5,5,5,5,5,5,5,5</sup><sub>11</sub>
}}
}}


'''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.
'''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 [[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.


== See also ==
== See also ==
* [[Small comma]]
* [[Small comma]]


[[Category:11-limit]]
== References ==
[[Category:Small comma]]
<references />
 
[[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