Nine limit tetrads: Difference between revisions

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**Imported revision 244248647 - Original comment: **
m Recategorize; +todo
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The [[9-odd-limit|nine-limit just intonation]] tetrads are subchords of the full nine-limit [[Pentad|pentads]], omitting one element.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-04 00:51:50 UTC</tt>.<br>
: The original revision id was <tt>244248647</tt>.<br>
: 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">The nine-limit just intonation tetrads are subchords of the full nine-limit pentads, omitting one element.


=3-5-7-9=
=3-5-7-9=
These are the otonal subminor tetrad, 1-7/6-3/2-5/3, and the utonal supermajor tetrad, 1-9/7-3/2-9/5, with steps 7/6-9/7-10/9-6/5 and 9/7-7/6-6/5-10/9.
These are the [[Otonality and utonality|otonal]] subminor [[tetrad]], 1-7/6-3/2-5/3, and the [[Otonality and utonality|utonal]] supermajor tetrad, 1-9/7-3/2-9/5, with [[Step|steps]] 7/6-9/7-10/9-6/5 and 9/7-7/6-6/5-10/9.


=1-5-7-9=
=1-5-7-9=
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=1-3-5-9=
=1-3-5-9=
These are the otonal, 1-9/8-5/4-3/2, sometimes called add2, and the utonal, 1-6/5-4/3-3/2, with steps 9/8-10/9-6/5-4/3 and 6/6-10/9-9/8-4/3 respectively.
These are the otonal, 1-9/8-5/4-3/2, sometimes called add2, and the utonal, 1-6/5-4/3-3/2, with steps 9/8-10/9-6/5-4/3 and 6/5-10/9-9/8-4/3 respectively.


[[Category:9-odd-limit]]
[[Category:Tetrads]]


 
{{Todo| cleanup | discuss title }}
</pre></div>
<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;nine limit tetrads&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The nine-limit just intonation tetrads are subchords of the full nine-limit pentads, omitting one element.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x3-5-7-9"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;3-5-7-9&lt;/h1&gt;
These are the otonal subminor tetrad, 1-7/6-3/2-5/3, and the utonal supermajor tetrad, 1-9/7-3/2-9/5, with steps 7/6-9/7-10/9-6/5 and 9/7-7/6-6/5-10/9.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="x1-5-7-9"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;1-5-7-9&lt;/h1&gt;
These are the otonal, 1-9/8-5/4-7/4 and the utonal, 1-7/5-14/9-7/4, with steps 9/8-10/9-7/5-8/7 and 7/5-10/9-9/8-8/7.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="x1-3-7-9"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;1-3-7-9&lt;/h1&gt;
These are the otonal, 1-9/8-3/2-7/4, and the utonal, 1-4/3-3/2-12/7, with steps 9/8-4/3-7/6-8/7 and 4/3-9/8-8/7-7/6.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="x1-3-5-9"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;1-3-5-9&lt;/h1&gt;
These are the otonal, 1-9/8-5/4-3/2, sometimes called add2, and the utonal, 1-6/5-4/3-3/2, with steps 9/8-10/9-6/5-4/3 and 6/6-10/9-9/8-4/3 respectively.&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 12:00, 23 May 2023

The nine-limit just intonation tetrads are subchords of the full nine-limit pentads, omitting one element.

3-5-7-9

These are the otonal subminor tetrad, 1-7/6-3/2-5/3, and the utonal supermajor tetrad, 1-9/7-3/2-9/5, with steps 7/6-9/7-10/9-6/5 and 9/7-7/6-6/5-10/9.

1-5-7-9

These are the otonal, 1-9/8-5/4-7/4 and the utonal, 1-7/5-14/9-7/4, with steps 9/8-10/9-7/5-8/7 and 7/5-10/9-9/8-8/7.

1-3-7-9

These are the otonal, 1-9/8-3/2-7/4, and the utonal, 1-4/3-3/2-12/7, with steps 9/8-4/3-7/6-8/7 and 4/3-9/8-8/7-7/6.

1-3-5-9

These are the otonal, 1-9/8-5/4-3/2, sometimes called add2, and the utonal, 1-6/5-4/3-3/2, with steps 9/8-10/9-6/5-4/3 and 6/5-10/9-9/8-4/3 respectively.