2430/2401: Difference between revisions

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'''2430/2401''', the '''nuwell comma''', 20.8 cents is a small, 7-limit comma. It is amount by which four septimal minor thirds [[7/6]] fall short of a major seventh [[15/8]].  Tempering it out leads to the [[nuwell family]] of temperaments.
'''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]].  


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== 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.


== See also ==
== Etymology ==
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>.


* [[Comma]]
== Notes ==
* [[Small comma]]


[[Category:Nuwell]]
[[Category:Nuwell]]

Revision as of 12:49, 2 January 2024

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. 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[1].

Notes