21/13: Difference between revisions

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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 supraminor sixth
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-28 14:19:37 UTC</tt>.<br>
| Color name = thuzo 6th, 3uz6
: The original revision id was <tt>602877076</tt>.<br>
| Sound = ji-21-13-csound-foscil-220hz.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">**21/13**
| 0 1 0 1 0 -1&gt;
830.25325 cents
[[media type="file" key="ji-21-13-csound-foscil-220hz.mp3"]] [[file:xenharmonic/ji-21-13-csound-foscil-220hz.mp3|sound sample]]


The **tredecimal minor sixth**. Its inverse is the tredecimal major third [[26_21|26/21]].
'''21/13''', the '''tridecimal supraminor sixth''', is ''ca''. 830 [[cent]]s in size. It has a very good approximation in [[13edo]], and notably, 5 of these intervals differ from [[11/1]] by 4084223/4084101, a comma of a mere 0.052{{cent}}.


See [[Gallery of Just Intervals]]</pre></div>
This interval is a ratio of two consecutive {{w|Fibonacci numbers}} and thus a convergent to [[acoustic phi]] (the interval of a [[golden ratio]]). In this case, 21/13 is ~2.8{{cent}} flat of acoustic phi. It differs from [[13/8]], the previous such convergent, by [[169/168]], and from the following convergent [[34/21]] by [[442/441]].
<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;21_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;21/13&lt;/strong&gt;&lt;br /&gt;
== See also ==
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* [[26/21]] – its [[octave complement]]
830.25325 cents&lt;br /&gt;
* [[Gallery of just intervals]]
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&lt;br /&gt;
[[Category:Sixth]]
The &lt;strong&gt;tredecimal minor sixth&lt;/strong&gt;. Its inverse is the tredecimal major third &lt;a class="wiki_link" href="/26_21"&gt;26/21&lt;/a&gt;.&lt;br /&gt;
[[Category:Supraminor sixth]]
&lt;br /&gt;
[[Category:Golden ratio approximations]]
See &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>