78/71
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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]\text{m2}^{13}_{71}[/math]
Special properties
reduced
Tenney height (log2 nd)
12.4351
Weil height (log2 max(n, d))
12.5708
Wilson height (sopfr(nd))
89
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.22465 bits
[sound info]
open this interval in xen-calc
| Interval information |
fitwewutho 2nd/seventy-wutho 2nd
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.