32/25
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Ratio
32/25
Factorization
25 × 5-2
Monzo
[5 0 -2⟩
Size in cents
427.3726¢
Names
classic(al) diminished fourth,
diptolemaic diminished fourth
Color name
gg4, gugu 4th
FJS name
[math]\text{d4}_{5,5}[/math]
Special properties
reduced,
reduced subharmonic
Tenney height (log2 nd)
9.64386
Weil height (log2 max(n, d))
10
Wilson height (sopfr(nd))
20
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.21448 bits
[sound info]
open this interval in xen-calc
| Interval information |
diptolemaic diminished fourth
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
32/25, the classic(al) diminished fourth or diptolemaic diminished fourth, is the interval between 5/4 and 8/5. It is 225/224 flat of 9/7, and tempering out 225/224 makes 1-5/4-8/5 into the marvel triad. It is also 176/175 sharp of 14/11, and tempering out 176/175 makes 1-5/4-8/5 into the valinorsmic augmented triad.
See also
- 25/16 – its octave complement
- 75/64 – its fifth complement