35/27
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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]\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
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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