Just intonation point: Difference between revisions

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**Imported revision 515964888 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The JI point, or '''JIP''', commonly denoted "J", is a point in p-limit tuning space &lt;log2(2) log2(3) log2(5) ... log2(p)|. If M is a monzo, then &lt;J|M&gt; is M evaluated in terms of octaves. If we shift to weighted coordinates, so that M = |m2 m3 m5 ...mp&gt; is represented by the ket vector |e2log2(2) e3log2(3) e5log2(5) ... mplog2(p)&gt;, then J becomes correspondingly the bra vector &lt;1 1 1 ... 1|.
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>2014-07-10 12:52:28 UTC</tt>.<br>
: The original revision id was <tt>515964888</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 JI point, or **JIP**, commonly denoted "J", is a point in p-limit tuning space &lt;log2(2) log2(3) log2(5) ... log2(p)|. If M is a monzo, then &lt;J|M&gt; is M evaluated in terms of octaves. If we shift to weighted coordinates, so that M = |m2 m3 m5 ...mp&gt; is represented by the ket vector |e2log2(2) e3log2(3) e5log2(5) ... mplog2(p)&gt;, then J becomes correspondingly the bra vector &lt;1 1 1 ... 1|.</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;JIP&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The JI point, or &lt;strong&gt;JIP&lt;/strong&gt;, commonly denoted &amp;quot;J&amp;quot;, is a point in p-limit tuning space &amp;lt;log2(2) log2(3) log2(5) ... log2(p)|. If M is a monzo, then &amp;lt;J|M&amp;gt; is M evaluated in terms of octaves. If we shift to weighted coordinates, so that M = |m2 m3 m5 ...mp&amp;gt; is represented by the ket vector |e2log2(2) e3log2(3) e5log2(5) ... mplog2(p)&amp;gt;, then J becomes correspondingly the bra vector &amp;lt;1 1 1 ... 1|.&lt;/body&gt;&lt;/html&gt;</pre></div>