2430/2401: Difference between revisions

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== Temperaments ==
== 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.  
[[Tempering out]] this comma alone in the 7-limit leads to the [[nuwell]] temperament.  


== Etymology ==
== Etymology ==

Latest revision as of 13:35, 30 November 2025

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.

Temperaments

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

Etymology

The name nuwell was given by Gene Ward Smith in 2005 as a contraction of nusecond and orwell[1].

Notes