48/25

Interval information

Ratio	48/25
Factorization	24 × 3 × 5-2
Monzo	[4 1 -2⟩
Size in cents	1129.328¢
Names	just diminished octave, classic(al) diminished octave, diptolemaic diminished octave
Color name	gg8, gugu octave
FJS name	[math]\displaystyle{ \text{d8}_{5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.2288
Weil norm (log2 max(n, d))	11.1699
Wilson norm (sopfr(nd))	21
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48/25 is the just diminished octave, classic(al) diminished octave or diptolemaic diminished octave measuring about 1129.3 cents. It is the inversion of 25/24.

Approximation

Edo approximations for 48/25 (1129.33 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
16	15\16	1125.00	-4.33	-5.77
17	16\17	1129.41	+0.08	+0.12
18	17\18	1133.33	+4.01	+6.01
33	31\33	1127.27	-2.05	-5.65
34	32\34	1129.41	+0.08	+0.24
35	33\35	1131.43	+2.10	+6.13
50	47\50	1128.00	-1.33	-5.53
51	48\51	1129.41	+0.08	+0.36
52	49\52	1130.77	+1.44	+6.25
67	63\67	1128.36	-0.97	-5.41
68	64\68	1129.41	+0.08	+0.48
69	65\69	1130.43	+1.11	+6.37

See also

• 25/24 – its octave complement
• Gallery of just intervals

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