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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<span style="display: block; text-align: right;">[[Teoría_Básica|Español]]</span>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:clumma|clumma]] and made on <tt>2016-11-23 14:30:24 UTC</tt>.<br>
: The original revision id was <tt>600270146</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">&lt;span style="display: block; text-align: right;"&gt;[[Teoría Básica|Español]]
&lt;/span&gt;
Here are some links to some of the key ideas underlying tuning:
Here are some links to some of the key ideas underlying tuning:


=Basics=  
=Basics=
[[Ratios]]
[[Ratios|Ratios]]
 
[[cent|Cents]]
[[cent|Cents]]
[[xenharmonic/Chords|Chords]]
[[xenharmonic/ScaleIndex|Scales]]
[[xenharmonic/Notation|Notation]]


=Core Concepts=  
[[Chords|Chords]]
[[xenharmonic/JI|JI]]
 
[[xenharmonic/Regular Temperaments|Regular Temperaments]]
[[ScaleIndex|Scales]]
[[xenharmonic/Equal Temperaments|Equal Temperaments]]
 
[[xenharmonic/Periods and Generators|Periods and Generators]]
[[Notation|Notation]]
[[xenharmonic/EDO|EDO]]
 
[[xenharmonic/EDT|EDT]]
=Core Concepts=
[[xenharmonic/MOSScales|MOS Scales]]
[[JI|JI]]
[[Periodic scale]]
 
[[xenharmonic/EDL|EDL (Equal divisions of length)]]
[[Regular_Temperaments|Regular Temperaments]]
[[xenharmonic/AID|Arithmetic irrational divisions]]
 
[[Equal_Temperaments|Equal Temperaments]]
 
[[periods_and_generators|Periods and Generators]]
 
[[EDO|EDO]]
 
[[edt|EDT]]
 
[[MOSScales|MOS Scales]]
 
[[Periodic_scale|Periodic scale]]
 
[[EDL|EDL (Equal divisions of length)]]
 
[[AID|Arithmetic irrational divisions]]
 
[[ADO|ADO (Arithmetic rational divisions)]]
[[ADO|ADO (Arithmetic rational divisions)]]
[[Comma pump]]


=How it Works=  
[[comma_pump|Comma pump]]
[[xenharmonic/Monzos|Monzos]]
 
[[xenharmonic/Vals|Vals]]
=How it Works=
[[xenharmonic/Mappings|Mappings]]
[[monzos|Monzos]]
[[xenharmonic/Patent val|Patent val]]
 
[[xenharmonic/tempering out|Tempering Out]]
[[Vals|Vals]]
[[xenharmonic/Rank and codimension|Rank and codimension]]
 
[[Mappings|Mappings]]
 
[[Patent_val|Patent val]]
 
[[tempering_out|Tempering Out]]
 
[[Rank_and_codimension|Rank and codimension]]
 
=Personal Explanations=
[[Mike's_Lectures_On_Regular_Temperament_Theory|Mike's Lectures On Regular Temperament Theory]]
 
[[Keenan's_explanation_of_vals|Keenan's explanation of vals]]
 
=Javascript tools=
[[Interval_calculator|Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too]]
 
[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=
[[Benedetti_height|Benedetti height]]
 
[[Kees_Height|Kees height]]
 
[[Tenney_Height|Tenney Height]]
 
[[ABC,_High_Quality_Commas,_and_Epimericity|ABC, High Quality Commas, and Epimericity]]
 
[[Graham_complexity|Graham complexity]]
 
[[Generator_complexity|Generator complexity]]
 
[[Lumma_stability|Lumma stability]]
 
[[chord_of_nature|chord of nature]]
 
[[Modal_UDP_Notation|Modal UDP Notation]]
 
[[Cluster_temperament|Cluster temperament]]
 
[[Consonant_class_scale|Consonant Class Scale]]


=Personal Explanations=
[[Maximum_variety|Maximum variety]]
[[Mike's Lectures On Regular Temperament Theory]]
[[xenharmonic/Keenan's explanation of vals|Keenan's explanation of vals]]


=Javascript tools=
[[Distributional_Evenness|Distributional Evenness]]
[[xenharmonic/Interval calculator|Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too]]
[[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=
[[Essential_tempering_commas|Essential tempering commas]]
[[xenharmonic/Benedetti height|Benedetti height]]
[[xenharmonic/Kees height|Kees height]]
[[xenharmonic/Tenney Height|Tenney Height]]
[[xenharmonic/ABC, High Quality Commas, and Epimericity|ABC, High Quality Commas, and Epimericity]]
[[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]]
[[Cluster temperament]]
[[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=  
=Advanced Theory=
[[xenharmonic/Mathematical Theory|Mathematical Theory]]</pre></div>
[[Mathematical_Theory|Mathematical Theory]]
<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;&lt;span style="display: block; text-align: right;"&gt;&lt;a class="wiki_link" href="/Teor%C3%ADa%20B%C3%A1sica"&gt;Español&lt;/a&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
Here are some links to some of the key ideas underlying tuning:&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;a class="wiki_link" href="/Ratios"&gt;Ratios&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/cent"&gt;Cents&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="http://xenharmonic.wikispaces.com/ScaleIndex"&gt;Scales&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;!-- 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="http://xenharmonic.wikispaces.com/JI"&gt;JI&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="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/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/MOSScales"&gt;MOS Scales&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Periodic%20scale"&gt;Periodic scale&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/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;a class="wiki_link" href="/Comma%20pump"&gt;Comma pump&lt;/a&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="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/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/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/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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Personal Explanations"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Personal Explanations&lt;/h1&gt;
&lt;a class="wiki_link" href="/Mike%27s%20Lectures%20On%20Regular%20Temperament%20Theory"&gt;Mike's Lectures On Regular Temperament Theory&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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Javascript tools"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&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_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:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Additional Stuff"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Additional Stuff&lt;/h1&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="http://xenharmonic.wikispaces.com/Kees%20height"&gt;Kees 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="http://xenharmonic.wikispaces.com/ABC%2C%20High%20Quality%20Commas%2C%20and%20Epimericity"&gt;ABC, High Quality Commas, and Epimericity&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="http://xenharmonic.wikispaces.com/Generator%20complexity"&gt;Generator complexity&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="http://xenharmonic.wikispaces.com/chord%20of%20nature"&gt;chord of nature&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="/Cluster%20temperament"&gt;Cluster temperament&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="http://xenharmonic.wikispaces.com/Maximum%20variety"&gt;Maximum variety&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="http://xenharmonic.wikispaces.com/Essential%20tempering%20commas"&gt;Essential tempering commas&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Advanced Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Advanced Theory&lt;/h1&gt;
&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>
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