32/25

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Interval information

Ratio

32/25

Factorization

2⁵ × 5^-2

[5 0 -2⟩

Size in cents

427.3726¢

Names

classic(al) diminished fourth,
diptolemaic diminished fourth

gg4, gugu 4th

[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

Open this interval in xen-calc

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

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