32/25

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Interval information
Ratio 32/25
Factorization 25 × 5-2
Monzo [5 0 -2
Size in cents 427.37257¢
Names classic(al) diminished fourth,
diptolemaic diminished fourth
Color name gg4, gugu 4th
FJS name [math]\text{d4}_{5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 9.64386
Weil height (log2 max(n, d)) 10
Wilson height (sopfr (nd)) 20
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.57493 bits

[sound info]
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