2430/2401: Difference between revisions

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'''2430/2401''', the '''nuwell comma''', is a [[small comma|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]].  
'''2430/2401''', the '''nuwell comma''', is a [[small comma|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 ==
== Temperaments ==
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The name ''nuwell'' was given by [[Gene Ward Smith]] in 2005 as a contraction of ''[[nusecond]]'' and ''[[orwell]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>.  
The name ''nuwell'' was given by [[Gene Ward Smith]] in 2005 as a contraction of ''[[nusecond]]'' and ''[[orwell]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>.  


== Notes ==
== References ==


[[Category:Nuwell]]
[[Category:Nuwell]]
[[Category:Commas named after other creatives]]
[[Category:Commas named after other creatives]]
[[Category:Commas named by combining multiple temperament names]]
[[Category:Commas named by combining multiple temperament names]]

Latest revision as of 13:28, 14 July 2026

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 nuwell temperament.

Etymology

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

References