64/57

Interval information

Ratio	64/57
Subgroup monzo	2.3.19 [6 -1 -1⟩
Size in cents	200.532¢
Names	octave-reduced 57th subharmonic, quasi-tempered whole tone
Color name	19u2, inu 2nd
FJS name	[math]\displaystyle{ \text{M2}_{19} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	11.8329
Weil norm (log2 max(n, d))	12
Wilson norm (sopfr(nd))	34
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The octave-reduced 57th subharmonic (frequency ratio 64/57) is a 19-limit interval. It is close to one degree of 6edo, and described as quasi-tempered whole tone.

Approximation

Edo approximations for 64/57 (200.53 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
6	1\6	200.00	-0.53	-0.27
12	2\12	200.00	-0.53	-0.53
18	3\18	200.00	-0.53	-0.80
24	4\24	200.00	-0.53	-1.06
30	5\30	200.00	-0.53	-1.33
36	6\36	200.00	-0.53	-1.60
42	7\42	200.00	-0.53	-1.86
48	8\48	200.00	-0.53	-2.13
54	9\54	200.00	-0.53	-2.39
60	10\60	200.00	-0.53	-2.66
66	11\66	200.00	-0.53	-2.93
72	12\72	200.00	-0.53	-3.19
78	13\78	200.00	-0.53	-3.46

See also

• 57/32 – its octave complement
• 19/16 – its fourth complement