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{n\cdot d}[/math]) |
~2.52158 bits |
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 leads to the porwell family of temperaments.
Etymology
The porwell comma was named by Gene Ward Smith in 2010. It is the concatenation of porcupine and orwell^{[1]}.
See also
- Porwell family, the rank-3 family where it is tempered out
- Porwell temperaments, a collection of rank-2 temperaments where it is tempered out
- Small comma