71/57
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| Ratio | 71/57 |
| Subgroup monzo | 3.19.71 [-1 -1 1⟩ |
| Size in cents | 380.22853¢ |
| 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] | |
| open this interval in xen-calc | |
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