6144/6125
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Ratio | 6144/6125 |
Factorization | 2^{11} × 3 × 5^{-3} × 7^{-2} |
Monzo | [11 1 -3 -2⟩ |
Size in cents | 5.3620463¢ |
Name | porwell comma |
Color name | srrg^{3}1, sarurutrigu 1sn, Sarurutrigu comma |
FJS name | [math]\text{d1}_{5,5,5,7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 25.1655 |
Weil height (log_{2} 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 |
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]}.