54/35
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Ratio | 54/35 |
Factorization | 2 × 3^{3} × 5^{-1} × 7^{-1} |
Monzo | [1 3 -1 -1⟩ |
Size in cents | 750.72538¢ |
Name | septimal semiaugmented fifth |
Color name | rg5, rugu 5th |
FJS name | [math]\text{P5}_{5,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 10.8842 |
Weil height (log_{2} 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 |
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.