From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
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.

See also