32/25

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.21448 bits
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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. In terms of interval regions, it can be treated as a supermajor third.

See also

• 25/16 – its octave complement
• 75/64 – its fifth complement