71/57: Difference between revisions

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m infoboxified; as of now without ratio factorization in the infobox, edit later
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m monzo added
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| JI glyph =  
| JI glyph =  
| Ratio = 71/57
| Ratio = 71/57
| Monzo =  
| Monzo = 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 1
| Cents = 380.22853
| Cents = 380.22853
| Name = witchcraft major third
| Name = witchcraft major third
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}}
}}


'''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.
'''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.


[[Category:Interval]]
[[Category:Interval]]

Revision as of 22:08, 20 November 2020

Interval information
Ratio 71/57
Subgroup monzo 3.19.71 [-1 -1 1
Size in cents 380.2285¢
Name witchcraft major third
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.