71/57: Difference between revisions

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'''71/57'''
{{Infobox Interval
| Name = witchcraft major third
| Color name = 71o19u3, <br>fitwewonu 3rd/seventy-wonu 3rd
| Sound = jid_71_57_pluck_adu_dr220.mp3
}}


= 3<span style="font-size: 80%; vertical-align: super;">-1</span> * 19<span style="font-size: 80%; vertical-align: super;">-1</span> * 71
'''71/57''' = 3<sup>−1</sup> ⋅&nbsp;19<sup>−1</sup> ⋅&nbsp;71, the '''witchcraft major third''', provides a good tuning for [[Magic family#Witchcraft|witchcraft]] and 11-limit [[Magic family#Divination|divination]], all varieties of magic temperament. The mediant of 71/57 with [[5/4]] gives [[76/61]], the magic major third.


380.2285 cents
== See also ==
* [[76/61]] – magic major third


[[File:jid_71_57_pluck_adu_dr220.mp3]] [[:File:jid_71_57_pluck_adu_dr220.mp3|sound sample]]
[[Category:Third]]
 
[[Category:Major third]]
71/57, the witchcraft major third, provides a good tuning for [[Magic_family|witchcraft]] and 11-limit [[Magic_family|divination]], all varieties of magic temperament. The mediant of 71/57 with 5/4 gives [[76/61|76/61]], the magic major third.

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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