17/11: Difference between revisions

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**Imported revision 536370252 - 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 inframinor sixth
: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-01-06 11:26:00 UTC</tt>.<br>
| Color name = 17o1u6, solu 6th
: The original revision id was <tt>536370252</tt>.<br>
| Sound = jid_17_11_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">**17/11**
|0 0 0 0 -1 0 1&gt;
753.6375 cents
[[media type="file" key="jid_17_11_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_17_11_pluck_adu_dr220.mp3|sound sample]]


In [[17-limit]] [[Just Intonation]], 17/11 is the "septendecimal subminor sixth," measuring about 753.. It is the [[mediant]] between [[3_2|3/2]] and [[14_9|14/9]]. Its inversion is [[22_17|22/17]], the "septendecimal supermajor third." It is sometimes known as the major fifth in systems such as 16 in which 3/2 is split into two very distinct intervals.  
In [[17-limit]] [[just intonation]], '''17/11''' is the '''septendecimal inframinor sixth''', measuring about 753.6{{cent}}. It is the [[mediant]] between [[3/2]] and [[14/9]]. Its inversion is [[22/17]], the "septendecimal supermajor third." It is sometimes known as the major fifth in systems such as [[16edo]] in which 3/2 is split into two very distinct intervals.  


See: [[Gallery of Just Intervals]]</pre></div>
== See also ==
<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;17_11&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;17/11&lt;/strong&gt;&lt;br /&gt;
* [[Gallery of just intervals]]
|0 0 0 0 -1 0 1&amp;gt;&lt;br /&gt;
* [[22/17]] -- its [[octave complement]]
753.6375 cents&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_17_11_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_17_11_pluck_adu_dr220.mp3&amp;amp;quot; width=&amp;amp;quot;240&amp;amp;quot; height=&amp;amp;quot;20&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_17_11_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_17_11_pluck_adu_dr220.mp3/513249954/jid_17_11_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_11_pluck_adu_dr220.mp3/513249954/jid_17_11_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
[[Category:Sixth]]
&lt;br /&gt;
[[Category:Subminor sixth]]
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;, 17/11 is the &amp;quot;septendecimal subminor sixth,&amp;quot; measuring about 753.6¢. It is the &lt;a class="wiki_link" href="/mediant"&gt;mediant&lt;/a&gt; between &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; and &lt;a class="wiki_link" href="/14_9"&gt;14/9&lt;/a&gt;. Its inversion is &lt;a class="wiki_link" href="/22_17"&gt;22/17&lt;/a&gt;, the &amp;quot;septendecimal supermajor third.&amp;quot; It is sometimes known as the major fifth in systems such as 16 in which 3/2 is split into two very distinct intervals. &lt;br /&gt;
[[Category:Interseptimal intervals]]
&lt;br /&gt;
[[Category:Over-11 intervals]]
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:Taxicab-2 intervals]]
{{Todo| expand }}

Latest revision as of 02:52, 14 April 2025

Interval information
Ratio 17/11
Subgroup monzo 11.17 [-1 1
Size in cents 753.6375¢
Name septendecimal inframinor sixth
Color name 17o1u6, solu 6th
FJS name [math]\displaystyle{ \text{m6}^{17}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 7.54689
Weil height (log2 max(n, d)) 8.17493
Wilson height (sopfr(nd)) 28

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 17/11 is the septendecimal inframinor sixth, measuring about 753.6 ¢. It is the mediant between 3/2 and 14/9. Its inversion is 22/17, the "septendecimal supermajor third." It is sometimes known as the major fifth in systems such as 16edo in which 3/2 is split into two very distinct intervals.

See also