71/57: Difference between revisions

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m Normalising usage of Infobox Interval
 
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{{Infobox Interval
{{Infobox Interval
| Ratio = 71/57
| Monzo = 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 1
| Cents = 380.22853
| Name = witchcraft major third
| Name = witchcraft major third
| Color name = 71o19u3, <br>fitwewonu 3rd/seventy-wonu 3rd
| Color name = 71o19u3, <br>fitwewonu 3rd/seventy-wonu 3rd
| FJS name = M3<sup>71</sup><sub>19</sub>
| Sound = jid_71_57_pluck_adu_dr220.mp3
| Sound = jid_71_57_pluck_adu_dr220.mp3
}}
}}
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* [[76/61]] – magic major third
* [[76/61]] – magic major third


[[Category:71-limit]]
[[Category:Third]]
[[Category:Third]]
[[Category:Major third]]
[[Category:Major third]]
[[Category:Pages with internal sound examples]]

Latest revision as of 16:50, 25 October 2022

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]\displaystyle{ \text{M3}^{71}_{19} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.9826
Weil norm (log2 max(n, d)) 12.2995
Wilson norm (sopfr(nd)) 93

[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
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