54/35
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Ratio
54/35
Factorization
2 × 33 × 5-1 × 7-1
Monzo
[1 3 -1 -1⟩
Size in cents
750.7254¢
Name
septimal semiaugmented fifth
Color name
rg5, rugu 5th
FJS name
[math]\text{P5}_{5,7}[/math]
Special properties
reduced
Tenney height (log2 nd)
10.8842
Weil height (log2 max(n, d))
11.5098
Wilson height (sopfr(nd))
23
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.2629 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
54/35, the septimal semiaugmented fifth, is a 7-limit interseptimal interval. It corresponds to the sum of 9/7 and 6/5 or the difference between 12/7 and 10/9.
Notice it is also flat of the just minor sixth (8/5) by 28/27, the subminor second, suggesting the function of a dissonance yet to be resolved up to the minor sixth.