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]\text{dd}{-3}^{5}_{7,7,7,7}[/math]
Special properties	reduced
Tenney height (log2 nd)	22.4762
Weil height (log2 max(n, d))	22.4935
Wilson height (sopfr(nd))	50
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~3.85786 bits
Comma size	small
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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.

Temperaments

Tempering out this comma alone in the 7-limit leads to the nuwell temperament. See Nuwell family for the rank-3 temperament family where it is tempered out.

Etymology

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