78/71

Interval information

Ratio	78/71
Subgroup monzo	2.3.13.71 [1 1 1 -1⟩
Size in cents	162.7861¢
Name	porcupine neutral second
Color name	71u3o2, fitwewutho 2nd/seventy-wutho 2nd
FJS name	[math]\displaystyle{ \text{m2}^{13}_{71} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	12.4351
Weil norm (log2 max(n, d))	12.5708
Wilson norm (sopfr(nd))	89
[sound info]
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The porcupine neutral second, 78/71 = 2 ⋅ 3 ⋅ 13 ⋅ 71⁻¹, provides a good generator for porcupine temperament. It is between 3\22 and 8\59, and leads to a fifth of 711.642 cents, which is 9.687 cents sharp of 3/2.

Approximation

Edo approximations for 78/71 (162.79 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	1\7	171.43	+8.64	+5.04
8	1\8	150.00	-12.79	-8.52
15	2\15	160.00	-2.79	-3.48
22	3\22	163.64	+0.85	+1.56
29	4\29	165.52	+2.73	+6.60
30	4\30	160.00	-2.79	-6.97
37	5\37	162.16	-0.62	-1.92
44	6\44	163.64	+0.85	+3.12
51	7\51	164.71	+1.92	+8.16
52	7\52	161.54	-1.25	-5.41
59	8\59	162.71	-0.07	-0.37
66	9\66	163.64	+0.85	+4.68
67	9\67	161.19	-1.59	-8.89
73	10\73	164.38	+1.60	+9.72
74	10\74	162.16	-0.62	-3.85