6144/6125
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Ratio
6144/6125
Factorization
211 × 3 × 5-3 × 7-2
Monzo
[11 1 -3 -2⟩
Size in cents
5.3620463¢
Name
porwell comma
Color name
srrg31, sarurutrigu 1sn,
Sarurutrigu comma
FJS name
[math]\text{d1}_{5,5,5,7,7}[/math]
Special properties
reduced
Tenney height (log2 nd)
25.1655
Weil height (log2 max(n, d))
25.1699
Wilson height (sopfr(nd))
54
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.46289 bits
Comma size
small
open this interval in xen-calc
| Interval information |
Sarurutrigu comma
(Shannon, [math]\sqrt{nd}[/math])
6144/6125, the porwell comma, is a small 7-limit comma measuring about 5.4 cents. It is the amount by which a stack of two 35/32's falls short of 6/5, and the amount by which a stack of two 48/35's exceeds 15/8.
Temperaments
Tempering out this comma alone in the 7-limit leads to the porwell temperament. See Porwell family for the family of rank-3 temperaments where it is tempered out. See Porwell temperaments for a collection of rank-2 temperaments where it is tempered out.
Etymology
This comma was first named as hewuermity by Gene Ward Smith in 2005 as a contraction of hemiwürschmidt and amity[1], and was renamed to porwell in 2010 as a contraction of porcupine and orwell per Petr Pařízek's suggestion[2].