General theory
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Here are some links to some of the key ideas underlying tuning: =Basics= [[Ratios]] [[cent|Cents]] [[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/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)]] =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]] =Personal Explanations= [[Mike's Lectures On Regular Temperament Theory]] [[xenharmonic/Keenan's explanation of vals|Keenan's explanation of vals]] =Javascript tools= [[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/sb_tree.html?start=0,1,1,0|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= [[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= [[xenharmonic/Mathematical Theory|Mathematical Theory]]
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<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:<h1> --><h1 id="toc0"><a name="Basics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Basics</h1> <a class="wiki_link" href="/Ratios">Ratios</a><br /> <a class="wiki_link" href="/cent">Cents</a><br /> <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:<h1> --><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/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 /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="How it Works"></a><!-- ws:end:WikiTextHeadingRule:4 -->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 /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Personal Explanations"></a><!-- ws:end:WikiTextHeadingRule:6 -->Personal Explanations</h1> <a class="wiki_link" href="/Mike%27s%20Lectures%20On%20Regular%20Temperament%20Theory">Mike's Lectures On Regular Temperament Theory</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Keenan%27s%20explanation%20of%20vals">Keenan's explanation of vals</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="Javascript tools"></a><!-- ws:end:WikiTextHeadingRule:8 -->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_ext" href="http://www.untwelve.org/javascript_demos/sb_tree.html?start=0,1,1,0" rel="nofollow">An animated Stern-Brocot tree, courtesy untwelve.org</a><br /> <a class="wiki_link_ext" href="http://www.untwelve.org/javascript_demos/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 /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Additional Stuff"></a><!-- ws:end:WikiTextHeadingRule:10 -->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/Kees%20height">Kees 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/ABC%2C%20High%20Quality%20Commas%2C%20and%20Epimericity">ABC, High Quality Commas, and Epimericity</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="/Cluster%20temperament">Cluster temperament</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 /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Advanced Theory"></a><!-- ws:end:WikiTextHeadingRule:12 -->Advanced Theory</h1> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mathematical%20Theory">Mathematical Theory</a></body></html>