42/25

Interval information

Ratio	42/25
Factorization	2 × 3 × 5-2 × 7
Monzo	[1 1 -2 1⟩
Size in cents	898.1535¢
Name	quasi-tempered major sixth
Color name	zgg7, zogugu 7th
FJS name	[math]\displaystyle{ \text{d7}^{7}_{5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.0362
Weil norm (log2 max(n, d))	10.7846
Wilson norm (sopfr(nd))	22
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42/25, the quasi-tempered major sixth, is the octave complement of 25/21. It is 126/125 sharp of 5/3, and is extremely close to 9 steps of 12edo (900 cents).

Approximation

Edo approximations for 42/25 (898.15 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
4	3\4	900.00	+1.85	+0.62
8	6\8	900.00	+1.85	+1.23
12	9\12	900.00	+1.85	+1.85
16	12\16	900.00	+1.85	+2.46
20	15\20	900.00	+1.85	+3.08
24	18\24	900.00	+1.85	+3.69
28	21\28	900.00	+1.85	+4.31
32	24\32	900.00	+1.85	+4.92
36	27\36	900.00	+1.85	+5.54
40	30\40	900.00	+1.85	+6.16
44	33\44	900.00	+1.85	+6.77
48	36\48	900.00	+1.85	+7.39
52	39\52	900.00	+1.85	+8.00
56	42\56	900.00	+1.85	+8.62
60	45\60	900.00	+1.85	+9.23
64	48\64	900.00	+1.85	+9.85

See also

• 25/21 -- its octave complement
• 25/14 -- its tritave complement
• Gallery of just intervals
• 25-odd-limit