2430/2401

Interval information

Ratio	2430/2401
Factorization	2 × 35 × 5 × 7-4
Monzo	[1 5 1 -4⟩
Size in cents	20.78509 ¢
Name	nuwell comma
Color name	r4y-3, quadru-ayo negative 3rd
FJS name	[math]\displaystyle{ \text{dd}{-3}^{5}_{7,7,7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	22.4762
Weil norm (log2 max(n, d))	22.4935
Wilson norm (sopfr(nd))	50
Comma size	small
Open this interval in xen-calc

2430/2401, the nuwell comma, is a small 7-limit comma measuring about 20.8 cents. It is amount by which four septimal minor thirds 7/6 fall short of a major seventh 15/8.

It factors into simpler commas as (225/224)⋅(1728/1715).

Temperaments

Tempering out this comma alone in the 7-limit leads to the rank-3 nuwell temperament.

See Nuwell temperaments for the collection of rank-2 temperaments where it is tempered out.

Etymology

The name nuwell was given by Gene Ward Smith in 2005 as a contraction of nusecond and orwell.