4-cent comma

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]\text{ddd}{-2}^{5,5,5,5,5,5,5,5,5}_{11}[/math]
Special properties	reduced
Tenney height (log2 nd)	41.7914
Weil height (log2 max(n, d))	41.7947
Wilson height (sopfr(nd))	89
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.34879 bits
Comma size	small
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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.

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

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

See also

• Small comma