35/27

Interval information

Ratio	35/27
Factorization	3-3 × 5 × 7
Monzo	[0 -3 1 1⟩
Size in cents	449.2746¢
Name	septimal semidiminished fourth
Color name	zy4, zoyo 4th
FJS name	[math]\displaystyle{ \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]\displaystyle{ \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

• 54/35 – its octave complement
• 81/70 – its fifth complement
• Gallery of just intervals
• File:Ji-35-27-csound-foscil-220hz.mp3 – another sound example