39/35

Interval information

Ratio	39/35
Factorization	3 × 5-1 × 7-1 × 13
Monzo	[0 1 -1 -1 0 1⟩
Size in cents	187.343¢
Name	animist major second
Color name	3org2, thorugu 2nd
FJS name	[math]\displaystyle{ \text{m2}^{13}_{5,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.4147
Weil norm (log2 max(n, d))	10.5708
Wilson norm (sopfr(nd))	28
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39/35, the animist major second is 105/104 flat of 9/8, or 351/350 sharp of 10/9. It arises in 13-limit JI scales as the interval between 7/6 and 13/10, or between 5/3 and 13/7.

Approximation

Edo approximations for 39/35 (187.34 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
6	1\6	200.00	+12.66	+6.33
7	1\7	171.43	-15.91	-9.28
13	2\13	184.62	-2.73	-2.95
19	3\19	189.47	+2.13	+3.37
25	4\25	192.00	+4.66	+9.70
26	4\26	184.62	-2.73	-5.91
32	5\32	187.50	+0.16	+0.42
38	6\38	189.47	+2.13	+6.75
39	6\39	184.62	-2.73	-8.86
45	7\45	186.67	-0.68	-2.54
51	8\51	188.24	+0.89	+3.79
58	9\58	186.21	-1.14	-5.49
64	10\64	187.50	+0.16	+0.84
70	11\70	188.57	+1.23	+7.17
71	11\71	185.92	-1.43	-8.45
77	12\77	187.01	-0.33	-2.12

See also

• Gallery of just intervals
• 70/39 – its octave complement
• 35/26 – its fifth complement