1728/1715
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Ratio
1728/1715
Factorization
26 × 33 × 5-1 × 7-3
Monzo
[6 3 -1 -3⟩
Size in cents
13.07357¢
Name
orwellisma
Color name
r3g-2, triru-agu negative 2nd,
Triru-agu comma
FJS name
[math]\text{m}{-2}_{5,7,7,7}[/math]
Special properties
reduced
Tenney height (log2 nd)
21.4989
Weil height (log2 max(n, d))
21.5098
Wilson height (sopfr(nd))
47
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~2.61759 bits
Comma size
small
S-expression
S6 / S7
open this interval in xen-calc
| Interval information |
Triru-agu comma
(Shannon, [math]\sqrt{nd}[/math])
1728/1715, the orwellisma, is a small 7-limit comma measuring about 13.1 cents. It is equal to (8/5)/(7/6)3 and thus often makes sense to temper in any temperament where the generator (or a multiple thereof) is a slightly sharpened 7/6, such as in orwell.
Temperaments
Tempering out this comma alone in the 7-limit leads to the orwellismic temperament. See orwellismic family for the rank-3 temperament family where it is tempered out. See orwellismic temperaments for a collection of rank-2 temperaments where it is tempered out.