71/57

Interval information

Ratio	71/57
Subgroup monzo	3.19.71 [-1 -1 1⟩
Size in cents	380.2285¢
Name	witchcraft major third
Color name	71o19u3, fitwewonu 3rd/seventy-wonu 3rd
FJS name	[math]\text{M3}^{71}_{19}[/math]
Special properties	reduced
Tenney height (log2 nd)	11.9826
Weil height (log2 max(n, d))	12.2995
Wilson height (sopfr(nd))	93
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.04769 bits
[sound info]
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71/57 = 3⁻¹ ⋅ 19⁻¹ ⋅ 71, the witchcraft major third, provides a good tuning for witchcraft and 11-limit divination, all varieties of magic temperament. The mediant of 71/57 with 5/4 gives 76/61, the magic major third.

See also

• 76/61 – magic major third