54/35
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| Ratio | 54/35 |
| Factorization | 2 × 33 × 5-1 × 7-1 |
| Monzo | [1 3 -1 -1⟩ |
| Size in cents | 750.72538¢ |
| 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 | |
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.