35/27

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Interval information
Ratio 35/27
Factorization 3-3 × 5 × 7
Monzo [0 -3 1 1
Size in cents 449.27462¢
Name septimal semidiminished fourth
Color name zy4, zoyo 4th
FJS name [math]\text{P4}^{5,7}[/math]
Special properties reduced
Tenney height (log2 nd) 9.88417
Weil height (log2 max(n, d)) 10.2586
Wilson height (sopfr(nd)) 21
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.22975 bits

[sound info]
open this interval in xen-calc

35/27, the septimal semidiminished fourth, is the interval between 9/7 and 5/3. It is about 449.3 cents in size, 245/243 sharp of 9/7 and 351/350 flat of 13/10. Tempering out 351/350 leads to chords such as the ratwolf triad, a tempered 1-6/5-20/13.

Notice it is also sharp of the just major third by 28/27, the subminor second, suggesting the function of a dissonance yet to be resolved down to the major third.

See also