32/25

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.

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 norm (log2 nd)	9.64386
Weil norm (log2 max(n, d))	10
Wilson norm (sopfr(nd))	20
[sound info]
Open this interval in xen-calc

Approximation

Edo approximations for 32/25 (427.37 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
3	1\3	400.00	-27.37	-6.84
11	4\11	436.36	+8.99	+8.24
14	5\14	428.57	+1.20	+1.40
17	6\17	423.53	-3.84	-5.44
25	9\25	432.00	+4.63	+9.64
28	10\28	428.57	+1.20	+2.80
31	11\31	425.81	-1.57	-4.05
42	15\42	428.57	+1.20	+4.20
45	16\45	426.67	-0.71	-2.65
48	17\48	425.00	-2.37	-9.49
56	20\56	428.57	+1.20	+5.59
59	21\59	427.12	-0.25	-1.25
62	22\62	425.81	-1.57	-8.09
70	25\70	428.57	+1.20	+6.99
73	26\73	427.40	+0.02	+0.15
76	27\76	426.32	-1.06	-6.69

See also

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