22/17: Difference between revisions

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Wikispaces>Andrew_Heathwaite
**Imported revision 283160626 - Original comment: **
 
interval region
 
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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 = septendecimal ultramajor third
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-07 01:47:24 UTC</tt>.<br>
| Color name = 17u1o3, sulo 3rd
: The original revision id was <tt>283160626</tt>.<br>
| Sound = jid_22_17_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>
In [[17-limit]] [[just intonation]], '''22/17''' is the '''septendecimal ultramajor third''', measuring about 446.4{{cent}}. It is the [[mediant]] between [[9/7]] and [[13/10]], as it is (9+13)/(7+10).
<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">In [[17-limit]] [[Just Intonation]], 22/17 is the "septendecimal supermajor third," measuring about 446.363¢. It is the [[mediant]] between [[9_7|9/7]] and [[13_10|13/10]], as it is (9+13)/(7+10).


Intervals around this size or a few cents smaller make good generators for [[sensi]] temperament.
Intervals around this size or a few cents smaller make good generators for [[sensi]] temperament.


See: [[Gallery of Just Intervals]]</pre></div>
== See also ==
<h4>Original HTML content:</h4>
* [[Gallery of just intervals]]
<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_17&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 22/17 is the &amp;quot;septendecimal supermajor third,&amp;quot; measuring about 446.363¢. It is the &lt;a class="wiki_link" href="/mediant"&gt;mediant&lt;/a&gt; between &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt; and &lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt;, as it is (9+13)/(7+10).&lt;br /&gt;
* [[17/11]] -- its [[octave complement]]
&lt;br /&gt;
 
Intervals around this size or a few cents smaller make good generators for &lt;a class="wiki_link" href="/sensi"&gt;sensi&lt;/a&gt; temperament.&lt;br /&gt;
[[Category:Third]]
&lt;br /&gt;
[[Category:Supermajor third]]
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>
[[Category:Interseptimal intervals]]
[[Category:Naiadic]]

Latest revision as of 02:51, 14 April 2025

Interval information
Ratio 22/17
Factorization 2 × 11 × 17-1
Monzo [1 0 0 0 1 0 -1
Size in cents 446.3625¢
Name septendecimal ultramajor third
Color name 17u1o3, sulo 3rd
FJS name [math]\displaystyle{ \text{M3}^{11}_{17} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.54689
Weil height (log2 max(n, d)) 8.91886
Wilson height (sopfr(nd)) 30

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 22/17 is the septendecimal ultramajor third, measuring about 446.4 ¢. It is the mediant between 9/7 and 13/10, as it is (9+13)/(7+10).

Intervals around this size or a few cents smaller make good generators for sensi temperament.

See also