76/61

Interval information

Ratio	76/61
Subgroup monzo	2.19.61 [2 1 -1⟩
Size in cents	380.6282¢
Name	magic major third
Color name	61u19o4, siwuno 4th
FJS name	[math]\displaystyle{ \text{d4}^{19}_{61} }[/math]
Special properties	reduced
Tenney height (log2 nd)	12.1787
Weil height (log2 max(n, d))	12.4959
Wilson height (sopfr(nd))	84
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.04193 bits
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76/61 = 2² ⋅ 19 ⋅ 61⁻¹, the magic major third, gives a good tuning for the generator of magic temperament and can be used for other varieties of magic such as sorcery, necromancy, telepathy and soothsaying.

See also

• 71/57 – witchcraft major third
• 81/65 – quasimagical major third