22/13: Difference between revisions

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**Imported revision 575539877 - Original comment: **
Address a name change; expansion
 
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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 = tridecimal major sixth, major minthmic major sixth
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-02-22 17:05:45 UTC</tt>.<br>
| Color name = 3u1o6, thulo 6th
: The original revision id was <tt>575539877</tt>.<br>
| Sound = jid_22_13_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">**22/13**
|1 0 0 0 1 -1&gt;
910.7903 cents
[[media type="file" key="jid_22_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_22_13_pluck_adu_dr220.mp3|sound sample]]


See also
'''22/13''', the '''tridecimal major sixth''' or '''major minthmic major sixth''', is a [[13-limit]] [[just intonation]] interval measuring about 910.8 [[cent]]s. It is the inverse of [[13/11]], the tridecimal minor third. It is sharp of the [[27/16|Pythagorean major sixth (27/16)]] by a [[352/351|major minthma (352/351)]].
* [[17edo|13\17]] (917.647 cents)
 
* [[Gallery of Just Intervals]]</pre></div>
== Approximation ==
<h4>Original HTML content:</h4>
This interval is well approximated by [[17edo|13\17]] (917.647 cents), and even better, by [[29edo|22\29]] (910.345 cents).
<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;22_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;22/13&lt;/strong&gt;&lt;br /&gt;
 
|1 0 0 0 1 -1&amp;gt;&lt;br /&gt;
== See also ==
910.7903 cents&lt;br /&gt;
* [[13/11]] – its [[octave complement]]
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* [[Gallery of just intervals]]
&lt;br /&gt;
 
See also&lt;br /&gt;
[[Category:Sixth]]
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/17edo"&gt;13\17&lt;/a&gt; (917.647 cents)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Major sixth]]
[[Category:Major minthmic]]

Latest revision as of 14:52, 15 January 2024

Interval information
Ratio 22/13
Factorization 2 × 11 × 13-1
Monzo [1 0 0 0 1 -1
Size in cents 910.7903¢
Names tridecimal major sixth,
major minthmic major sixth
Color name 3u1o6, thulo 6th
FJS name [math]\displaystyle{ \text{M6}^{11}_{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.15987
Weil height (log2 max(n, d)) 8.91886
Wilson height (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

22/13, the tridecimal major sixth or major minthmic major sixth, is a 13-limit just intonation interval measuring about 910.8 cents. It is the inverse of 13/11, the tridecimal minor third. It is sharp of the Pythagorean major sixth (27/16) by a major minthma (352/351).

Approximation

This interval is well approximated by 13\17 (917.647 cents), and even better, by 22\29 (910.345 cents).

See also