6144/6125

Revision as of 14:11, 9 November 2023 by FloraC (talk | contribs) (Integrate the links to temps to the temperaments section)
Interval information
Ratio 6144/6125
Factorization 211 × 3 × 5-3 × 7-2
Monzo [11 1 -3 -2
Size in cents 5.362046¢
Name porwell comma
Color name srrg31, sarurutrigu 1sn,
Sarurutrigu comma
FJS name [math]\displaystyle{ \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
Comma size small
Open this interval in xen-calc

6144/6125, the porwell comma, is a 7-limit small 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

The porwell comma was named by Gene Ward Smith in 2010. It is the concatenation of porcupine and orwell[1].

See also

Notes