General theory: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 303043278 - Original comment: **
Wikispaces>acousticsoftombak
**Imported revision 304676130 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2012-02-18 20:08:41 UTC</tt>.<br>
: This revision was by author [[User:acousticsoftombak|acousticsoftombak]] and made on <tt>2012-02-24 00:25:38 UTC</tt>.<br>
: The original revision id was <tt>303043278</tt>.<br>
: The original revision id was <tt>304676130</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 9: Line 9:


=Basics=  
=Basics=  
[[Chords]]
[[xenharmonic/Chords|Chords]]
[[ScaleIndex|Scales]]
[[xenharmonic/ScaleIndex|Scales]]
[[Notation]]
[[xenharmonic/Notation|Notation]]


=Core Concepts=  
=Core Concepts=  
[[JI]]
[[xenharmonic/JI|JI]]
[[Regular Temperaments]]
[[xenharmonic/Regular Temperaments|Regular Temperaments]]
[[Equal Temperaments]]
[[xenharmonic/Equal Temperaments|Equal Temperaments]]
[[Periods and Generators]]
[[xenharmonic/Periods and Generators|Periods and Generators]]
[[Keenan's explanation of vals]]
[[xenharmonic/Keenan's explanation of vals|Keenan's explanation of vals]]
[[EDO]]
[[xenharmonic/EDO|EDO]]
[[EDT]]
[[xenharmonic/EDT|EDT]]
[[MOSScales|MOS Scales]]
[[xenharmonic/MOSScales|MOS Scales]]
[[xenharmonic/EDL|EDL (Equal divisions of length)]]
[[xenharmonic/EDL|EDL (Equal divisions of length)]]
[[AID|Arithmetic irrational divisions]]
[[xenharmonic/AID|Arithmetic irrational divisions]]
[[ADO|ADO (Arithmetic rational divisions)]]


=Javascript tools=  
=Javascript tools=  
[[Interval calculator|Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too]]
[[xenharmonic/Interval calculator|Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too]]
[[AnimatedSternBrocotTree|An animated Stern-Brocot tree, courtesy untwelve.org]]
[[xenharmonic/AnimatedSternBrocotTree|An animated Stern-Brocot tree, courtesy untwelve.org]]
[[http://www.untwelve.org/MOSring.html|An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation]]
[[http://www.untwelve.org/MOSring.html|An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation]]
[[http://www.toverlamp.org/static/wickisynth/wickisynth.html|An excellent Firefox browser tuning demo synthesizer, 'Wicksynth']]
[[http://www.toverlamp.org/static/wickisynth/wickisynth.html|An excellent Firefox browser tuning demo synthesizer, 'Wicksynth']]


=How it Works=  
=How it Works=  
[[Monzos]]
[[xenharmonic/Monzos|Monzos]]
[[Vals]]
[[xenharmonic/Vals|Vals]]
[[Mappings]]
[[xenharmonic/Mappings|Mappings]]
[[Patent val]]
[[xenharmonic/Patent val|Patent val]]
[[tempering out|Tempering Out]]
[[xenharmonic/tempering out|Tempering Out]]
[[Rank and codimension]]
[[xenharmonic/Rank and codimension|Rank and codimension]]


=Additional Stuff=  
=Additional Stuff=  
[[Benedetti height]]
[[xenharmonic/Benedetti height|Benedetti height]]
[[Tenney Height]]
[[xenharmonic/Tenney Height|Tenney Height]]
[[Graham complexity]]
[[xenharmonic/Graham complexity|Graham complexity]]
[[Generator complexity]]
[[xenharmonic/Generator complexity|Generator complexity]]
[[Lumma stability]]
[[xenharmonic/Lumma stability|Lumma stability]]
[[chord of nature]]
[[xenharmonic/chord of nature|chord of nature]]
[[Modal UDP Notation]]
[[xenharmonic/Modal UDP Notation|Modal UDP Notation]]
[[Consonant class scale|Consonant Class Scale]]
[[xenharmonic/Consonant class scale|Consonant Class Scale]]
[[Maximum variety]]
[[xenharmonic/Maximum variety|Maximum variety]]
[[distributional evenness|Distributional Evenness]]
[[xenharmonic/distributional evenness|Distributional Evenness]]
[[Essential tempering commas]]
[[xenharmonic/Essential tempering commas|Essential tempering commas]]


=Advanced Theory=  
=Advanced Theory=  
[[Mathematical Theory]]</pre></div>
[[xenharmonic/Mathematical Theory|Mathematical Theory]]</pre></div>
<h4>Original HTML content:</h4>
<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;General Theory&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Here are some links to some of the key ideas underlying tuning:&lt;br /&gt;
<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;General Theory&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Here are some links to some of the key ideas underlying tuning:&lt;br /&gt;
&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="Basics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Basics&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Basics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Basics&lt;/h1&gt;
  &lt;a class="wiki_link" href="/Chords"&gt;Chords&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chords"&gt;Chords&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/ScaleIndex"&gt;Scales&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/ScaleIndex"&gt;Scales&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Notation"&gt;Notation&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Notation"&gt;Notation&lt;/a&gt;&lt;br /&gt;
&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="Core Concepts"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Core Concepts&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Core Concepts"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Core Concepts&lt;/h1&gt;
  &lt;a class="wiki_link" href="/JI"&gt;JI&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/JI"&gt;JI&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Equal%20Temperaments"&gt;Equal Temperaments&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Equal%20Temperaments"&gt;Equal Temperaments&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Periods%20and%20Generators"&gt;Periods and Generators&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Periods%20and%20Generators"&gt;Periods and Generators&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Keenan%27s%20explanation%20of%20vals"&gt;Keenan's explanation of vals&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Keenan%27s%20explanation%20of%20vals"&gt;Keenan's explanation of vals&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDO"&gt;EDO&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/EDT"&gt;EDT&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDT"&gt;EDT&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/MOSScales"&gt;MOS Scales&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales"&gt;MOS Scales&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDL"&gt;EDL (Equal divisions of length)&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDL"&gt;EDL (Equal divisions of length)&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/AID"&gt;Arithmetic irrational divisions&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/AID"&gt;Arithmetic irrational divisions&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/ADO"&gt;ADO (Arithmetic rational divisions)&lt;/a&gt;&lt;br /&gt;
&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="Javascript tools"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Javascript tools&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Javascript tools"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Javascript tools&lt;/h1&gt;
  &lt;a class="wiki_link" href="/Interval%20calculator"&gt;Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Interval%20calculator"&gt;Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/AnimatedSternBrocotTree"&gt;An animated Stern-Brocot tree, courtesy untwelve.org&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/AnimatedSternBrocotTree"&gt;An animated Stern-Brocot tree, courtesy untwelve.org&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.untwelve.org/MOSring.html" rel="nofollow"&gt;An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.untwelve.org/MOSring.html" rel="nofollow"&gt;An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.toverlamp.org/static/wickisynth/wickisynth.html" rel="nofollow"&gt;An excellent Firefox browser tuning demo synthesizer, 'Wicksynth'&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.toverlamp.org/static/wickisynth/wickisynth.html" rel="nofollow"&gt;An excellent Firefox browser tuning demo synthesizer, 'Wicksynth'&lt;/a&gt;&lt;br /&gt;
&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="How it Works"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;How it Works&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="How it Works"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;How it Works&lt;/h1&gt;
  &lt;a class="wiki_link" href="/Monzos"&gt;Monzos&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Monzos"&gt;Monzos&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Vals"&gt;Vals&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Vals"&gt;Vals&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Mappings"&gt;Mappings&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mappings"&gt;Mappings&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Patent%20val"&gt;Patent val&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Patent%20val"&gt;Patent val&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/tempering%20out"&gt;Tempering Out&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out"&gt;Tempering Out&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Rank%20and%20codimension"&gt;Rank and codimension&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Rank%20and%20codimension"&gt;Rank and codimension&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Additional Stuff"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Additional Stuff&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Additional Stuff"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Additional Stuff&lt;/h1&gt;
  &lt;a class="wiki_link" href="/Benedetti%20height"&gt;Benedetti height&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Benedetti%20height"&gt;Benedetti height&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Tenney%20Height"&gt;Tenney Height&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tenney%20Height"&gt;Tenney Height&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Graham%20complexity"&gt;Graham complexity&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Graham%20complexity"&gt;Graham complexity&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator%20complexity"&gt;Generator complexity&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Generator%20complexity"&gt;Generator complexity&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lumma%20stability"&gt;Lumma stability&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Lumma%20stability"&gt;Lumma stability&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/chord%20of%20nature"&gt;chord of nature&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chord%20of%20nature"&gt;chord of nature&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;Modal UDP Notation&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Modal%20UDP%20Notation"&gt;Modal UDP Notation&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Consonant%20class%20scale"&gt;Consonant Class Scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Consonant%20class%20scale"&gt;Consonant Class Scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Maximum%20variety"&gt;Maximum variety&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Maximum%20variety"&gt;Maximum variety&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/distributional%20evenness"&gt;Distributional Evenness&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/distributional%20evenness"&gt;Distributional Evenness&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Essential%20tempering%20commas"&gt;Essential tempering commas&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Essential%20tempering%20commas"&gt;Essential tempering commas&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Advanced Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Advanced Theory&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Advanced Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Advanced Theory&lt;/h1&gt;
  &lt;a class="wiki_link" href="/Mathematical%20Theory"&gt;Mathematical Theory&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
  &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mathematical%20Theory"&gt;Mathematical Theory&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:25, 24 February 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author acousticsoftombak and made on 2012-02-24 00:25:38 UTC.
The original revision id was 304676130.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Here are some links to some of the key ideas underlying tuning:

=Basics= 
[[xenharmonic/Chords|Chords]]
[[xenharmonic/ScaleIndex|Scales]]
[[xenharmonic/Notation|Notation]]

=Core Concepts= 
[[xenharmonic/JI|JI]]
[[xenharmonic/Regular Temperaments|Regular Temperaments]]
[[xenharmonic/Equal Temperaments|Equal Temperaments]]
[[xenharmonic/Periods and Generators|Periods and Generators]]
[[xenharmonic/Keenan's explanation of vals|Keenan's explanation of vals]]
[[xenharmonic/EDO|EDO]]
[[xenharmonic/EDT|EDT]]
[[xenharmonic/MOSScales|MOS Scales]]
[[xenharmonic/EDL|EDL (Equal divisions of length)]]
[[xenharmonic/AID|Arithmetic irrational divisions]]
[[ADO|ADO (Arithmetic rational divisions)]]

=Javascript tools= 
[[xenharmonic/Interval calculator|Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too]]
[[xenharmonic/AnimatedSternBrocotTree|An animated Stern-Brocot tree, courtesy untwelve.org]]
[[http://www.untwelve.org/MOSring.html|An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation]]
[[http://www.toverlamp.org/static/wickisynth/wickisynth.html|An excellent Firefox browser tuning demo synthesizer, 'Wicksynth']]

=How it Works= 
[[xenharmonic/Monzos|Monzos]]
[[xenharmonic/Vals|Vals]]
[[xenharmonic/Mappings|Mappings]]
[[xenharmonic/Patent val|Patent val]]
[[xenharmonic/tempering out|Tempering Out]]
[[xenharmonic/Rank and codimension|Rank and codimension]]

=Additional Stuff= 
[[xenharmonic/Benedetti height|Benedetti height]]
[[xenharmonic/Tenney Height|Tenney Height]]
[[xenharmonic/Graham complexity|Graham complexity]]
[[xenharmonic/Generator complexity|Generator complexity]]
[[xenharmonic/Lumma stability|Lumma stability]]
[[xenharmonic/chord of nature|chord of nature]]
[[xenharmonic/Modal UDP Notation|Modal UDP Notation]]
[[xenharmonic/Consonant class scale|Consonant Class Scale]]
[[xenharmonic/Maximum variety|Maximum variety]]
[[xenharmonic/distributional evenness|Distributional Evenness]]
[[xenharmonic/Essential tempering commas|Essential tempering commas]]

=Advanced Theory= 
[[xenharmonic/Mathematical Theory|Mathematical Theory]]

Original HTML content:

<html><head><title>General Theory</title></head><body>Here are some links to some of the key ideas underlying tuning:<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Basics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Basics</h1>
 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chords">Chords</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ScaleIndex">Scales</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Notation">Notation</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Core Concepts"></a><!-- ws:end:WikiTextHeadingRule:2 -->Core Concepts</h1>
 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/JI">JI</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Regular%20Temperaments">Regular Temperaments</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Equal%20Temperaments">Equal Temperaments</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Periods%20and%20Generators">Periods and Generators</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Keenan%27s%20explanation%20of%20vals">Keenan's explanation of vals</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDO">EDO</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDT">EDT</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales">MOS Scales</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDL">EDL (Equal divisions of length)</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/AID">Arithmetic irrational divisions</a><br />
<a class="wiki_link" href="/ADO">ADO (Arithmetic rational divisions)</a><br />
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Javascript tools"></a><!-- ws:end:WikiTextHeadingRule:4 -->Javascript tools</h1>
 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Interval%20calculator">Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/AnimatedSternBrocotTree">An animated Stern-Brocot tree, courtesy untwelve.org</a><br />
<a class="wiki_link_ext" href="http://www.untwelve.org/MOSring.html" rel="nofollow">An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation</a><br />
<a class="wiki_link_ext" href="http://www.toverlamp.org/static/wickisynth/wickisynth.html" rel="nofollow">An excellent Firefox browser tuning demo synthesizer, 'Wicksynth'</a><br />
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="How it Works"></a><!-- ws:end:WikiTextHeadingRule:6 -->How it Works</h1>
 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Monzos">Monzos</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Vals">Vals</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mappings">Mappings</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Patent%20val">Patent val</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">Tempering Out</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Rank%20and%20codimension">Rank and codimension</a><br />
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<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Additional Stuff"></a><!-- ws:end:WikiTextHeadingRule:8 -->Additional Stuff</h1>
 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Benedetti%20height">Benedetti height</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tenney%20Height">Tenney Height</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Graham%20complexity">Graham complexity</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Generator%20complexity">Generator complexity</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Lumma%20stability">Lumma stability</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/chord%20of%20nature">chord of nature</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Modal%20UDP%20Notation">Modal UDP Notation</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Consonant%20class%20scale">Consonant Class Scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Maximum%20variety">Maximum variety</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/distributional%20evenness">Distributional Evenness</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Essential%20tempering%20commas">Essential tempering commas</a><br />
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<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Advanced Theory"></a><!-- ws:end:WikiTextHeadingRule:10 -->Advanced Theory</h1>
 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mathematical%20Theory">Mathematical Theory</a></body></html>