71/57: Difference between revisions

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**Imported revision 513254918 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = witchcraft major third
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 15:25:34 UTC</tt>.<br>
| Color name = 71o19u3, <br>fitwewonu 3rd/seventy-wonu 3rd
: The original revision id was <tt>513254918</tt>.<br>
| Sound = jid_71_57_pluck_adu_dr220.mp3
: The revision comment was: <tt></tt><br>
}}
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**71/57**
= 3&lt;span style="font-size: 80%; vertical-align: super;"&gt;-1&lt;/span&gt; * 19&lt;span style="font-size: 80%; vertical-align: super;"&gt;-1&lt;/span&gt; * 71
380.2285 cents
[[media type="file" key="jid_71_57_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_71_57_pluck_adu_dr220.mp3|sound sample]]


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.</pre></div>
'''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.
<h4>Original HTML content:</h4>
 
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;71_57&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;71/57&lt;/strong&gt;&lt;br /&gt;
== See also ==
= 3&lt;span style="font-size: 80%; vertical-align: super;"&gt;-1&lt;/span&gt; * 19&lt;span style="font-size: 80%; vertical-align: super;"&gt;-1&lt;/span&gt; * 71&lt;br /&gt;
* [[76/61]] – magic major third
380.2285 cents&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_71_57_pluck_adu_dr220.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;jid_71_57_pluck_adu_dr220.mp3&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_71_57_pluck_adu_dr220.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt; &lt;a href="http://xenharmonic.wikispaces.com/file/view/jid_71_57_pluck_adu_dr220.mp3/513250424/jid_71_57_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_71_57_pluck_adu_dr220.mp3/513250424/jid_71_57_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
[[Category:Third]]
&lt;br /&gt;
[[Category:Major third]]
71/57, the witchcraft major third, provides a good tuning for &lt;a class="wiki_link" href="/Magic%20family"&gt;witchcraft&lt;/a&gt; and 11-limit &lt;a class="wiki_link" href="/Magic%20family"&gt;divination&lt;/a&gt;, all varieties of magic temperament. The mediant of 71/57 with 5/4 gives &lt;a class="wiki_link" href="/76_61"&gt;76/61&lt;/a&gt;, the magic major third.&lt;/body&gt;&lt;/html&gt;</pre></div>

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
Retrieved from "https://en.xen.wiki/index.php?title=71/57&oldid=98356"