General theory: Difference between revisions

Wikispaces>akjmicro
**Imported revision 312185448 - Original comment: **
Wikispaces>mbattaglia1
**Imported revision 313519846 - Original comment: **
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<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:akjmicro|akjmicro]] and made on <tt>2012-03-18 18:10:22 UTC</tt>.<br>
: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2012-03-22 07:53:29 UTC</tt>.<br>
: The original revision id was <tt>312185448</tt>.<br>
: The original revision id was <tt>313519846</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>
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[[xenharmonic/Equal Temperaments|Equal Temperaments]]
[[xenharmonic/Equal Temperaments|Equal Temperaments]]
[[xenharmonic/Periods and Generators|Periods and Generators]]
[[xenharmonic/Periods and Generators|Periods and Generators]]
[[xenharmonic/Keenan's explanation of vals|Keenan's explanation of vals]]
[[xenharmonic/EDO|EDO]]
[[xenharmonic/EDO|EDO]]
[[xenharmonic/EDT|EDT]]
[[xenharmonic/EDT|EDT]]
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[[xenharmonic/AID|Arithmetic irrational divisions]]
[[xenharmonic/AID|Arithmetic irrational divisions]]
[[ADO|ADO (Arithmetic rational 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/javascript_demos/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=  
=How it Works=  
[[xenharmonic/Monzos|Monzos]]
[[xenharmonic/Monzos|Monzos]]
[[xenharmonic/Vals|Vals]]
[[xenharmonic/Vals|Vals]] (see also [[xenharmonic/Keenan's explanation of vals|Keenan's explanation of vals]])
[[xenharmonic/Mappings|Mappings]]
[[xenharmonic/Mappings|Mappings]]
[[xenharmonic/Patent val|Patent val]]
[[xenharmonic/Patent val|Patent val]]
[[xenharmonic/tempering out|Tempering Out]]
[[xenharmonic/tempering out|Tempering Out]]
[[xenharmonic/Rank and codimension|Rank and codimension]]
[[xenharmonic/Rank and codimension|Rank and codimension]]
=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/javascript_demos/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']]


=Additional Stuff=  
=Additional Stuff=  
Line 68: Line 67:
&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="http://xenharmonic.wikispaces.com/Equal%20Temperaments"&gt;Equal Temperaments&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="http://xenharmonic.wikispaces.com/Periods%20and%20Generators"&gt;Periods and Generators&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="http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/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;
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&lt;a class="wiki_link" href="/ADO"&gt;ADO (Arithmetic rational 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="How it Works"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;How it Works&lt;/h1&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="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/javascript_demos/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;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;a class="wiki_link" href="http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/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; (see also &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="http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/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;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Javascript tools"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Javascript tools&lt;/h1&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="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/javascript_demos/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;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;