54/35

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.2629 bits
[sound info]
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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

• 35/27 – its octave complement
• Gallery of just intervals