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. 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.


{{todo|add more proper data and maybe create an article for the temperament}}
{{todo|add more proper data and maybe create an article for the temperament}}

Latest revision as of 03:36, 19 September 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. In 2026 this temperament was named Delta Centauri by CompactStar, named after 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.

Mapping: [(1 1 -2] (0 1 9])

TE tuning map: ~3=1902.102, ~5=2786.056, ~11=4151.382.

See also