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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Interwiki |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | en = General theory |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-04 11:20:15 UTC</tt>.<br>
| | | de = |
| : The original revision id was <tt>250610404</tt>.<br>
| | | es = Teoría básica |
| : The revision comment was: <tt></tt><br>
| | | ja = 一般理論 |
| 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>
| | Here are some links to some of the key ideas underlying tuning. |
| <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">Tuning theory can become heavily mathematical, and as such can be difficult to understand. Here are some links for the rest of us:
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| [[EDO]] | | If you are new to tuning theory looking for an overview, see [[Xen concepts for beginners]] and various others in our collection of [[guides]]. |
| [[Just intonation]] | |
| [[Monzos]]
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| [[Patent val]]
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| [[Vals]]
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| (DON'T CLICK THESE JUST YET OR YOU WILL BE DESTROYED BY MATH)
| | If you are looking for tools to start playing microtonal music, see [[List of music software]], but we would like to highlight these, which will aid your study of tuning theory: |
| | * [https://scaleworkshop.plainsound.org/ Scale Workshop] – scale-creation site by [[Lumi Pakkanen]]. Allows playing via QWERTY computer keyboard. Can also export .scl and .kbm files. |
| | * [[Xenpaper]] – text-based microtonal sequencer, like a notepad. Write down musical ideas and share the link around. |
| | * [https://www.yacavone.net/xen-calc/ xen-calc] – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too. |
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| [[Periodic scale]] | | == Basics == |
| [[MOSScales|MOS scales]] | | * [[Interval]] |
| [[MODMOS scales]] | | * [[Ratio]] |
| [[Monzos and Interval Space]] | | ** [[Ratio math]] |
| [[Vals and Tuning Space]] | | * [[Cent]] |
| [[Smonzos and Svals]] | | * [[Chord]] |
| [[Wedgies and Multivals]] | | * [[Scale]] |
| [[TOP tuning]] | | * [[Mode]] |
| [[Tenney-Euclidean tuning]] | | * [[Musical notation]] |
| [[Tenney-Euclidean temperament measures]] | | * Terminology |
| [[Tenney-Euclidean metrics]]
| | ** [[Glossary]] |
| [[Cangwu badness]]
| | ** [[Acronyms]] |
| [[Fractional monzos]] | | |
| [[Saturation]] | | == Core concepts == |
| [[Abstract regular temperament]] | | * [[Just intonation]] |
| [[Target tunings]] | | * [[Harmonic series]] |
| [[Normal lists]] | | ** [[Chord of nature]] |
| [[Planar Temperament]] | | * [[Equal division of the octave]] |
| [[The Seven Limit Symmetrical Lattices]] | | ** [[Equal-step tuning]] ([[edt]], [[edf]], …) |
| [[Modulatory space]] | | ** [[Well temperament]] |
| [[Chordal space]] | | * [[Regular temperaments]] |
| [[Hahn distance]] | | ** [[Diatonic, chromatic, enharmonic, subchromatic]] |
| [[Transversal]] | | * [[MOS scale]] |
| [[Transversal generators]] | | ** [[Periods and generators]] |
| [[Minkowski blocks]] | | * [[Hexany]] |
| [[k*N subgroups]]</pre></div> | | * [[Delta-rational chord]] |
| <h4>Original HTML content:</h4>
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| <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"><html><head><title>General Theory</title></head><body>Tuning theory can become heavily mathematical, and as such can be difficult to understand. Here are some links for the rest of us:<br />
| | == Regular temperament theory (RTT) == |
| <br />
| | * [[Monzo]] |
| <a class="wiki_link" href="/EDO">EDO</a><br />
| | * [[Val]] |
| <a class="wiki_link" href="/Just%20intonation">Just intonation</a><br />
| | * [[Mapping]] |
| <a class="wiki_link" href="/Monzos">Monzos</a><br />
| | * [[Patent val]] |
| <a class="wiki_link" href="/Patent%20val">Patent val</a><br />
| | * [[Tempering out]] |
| <a class="wiki_link" href="/Vals">Vals</a><br />
| | * [[Rank and codimension]] |
| <br />
| | * [[Keenan's explanation of vals]] |
| (DON'T CLICK THESE JUST YET OR YOU WILL BE DESTROYED BY MATH)<br /> | | * [[Comma pump]] |
| <br />
| | * [[Comma basis]] |
| <a class="wiki_link" href="/Periodic%20scale">Periodic scale</a><br />
| | * [[Saturation, torsion, and contorsion]] |
| <a class="wiki_link" href="/MOSScales">MOS scales</a><br />
| | * [[Dyadic chord]] |
| <a class="wiki_link" href="/MODMOS%20scales">MODMOS scales</a><br />
| | * [[Essential tempering comma]] |
| <a class="wiki_link" href="/Monzos%20and%20Interval%20Space">Monzos and Interval Space</a><br />
| | * [[Graham complexity]] |
| <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">Vals and Tuning Space</a><br />
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| <a class="wiki_link" href="/Smonzos%20and%20Svals">Smonzos and Svals</a><br />
| | == Advanced theory == |
| <a class="wiki_link" href="/Wedgies%20and%20Multivals">Wedgies and Multivals</a><br />
| | {{Main| Mathematical theory }} |
| <a class="wiki_link" href="/TOP%20tuning">TOP tuning</a><br />
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| <a class="wiki_link" href="/Tenney-Euclidean%20tuning">Tenney-Euclidean tuning</a><br />
| | [[Category:Theory]] |
| <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures">Tenney-Euclidean temperament measures</a><br />
| | [[Category:Todo:review]] |
| <a class="wiki_link" href="/Tenney-Euclidean%20metrics">Tenney-Euclidean metrics</a><br />
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| <a class="wiki_link" href="/Cangwu%20badness">Cangwu badness</a><br />
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| <a class="wiki_link" href="/Fractional%20monzos">Fractional monzos</a><br />
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| <a class="wiki_link" href="/Saturation">Saturation</a><br />
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| <a class="wiki_link" href="/Abstract%20regular%20temperament">Abstract regular temperament</a><br />
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| <a class="wiki_link" href="/Target%20tunings">Target tunings</a><br />
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| <a class="wiki_link" href="/Normal%20lists">Normal lists</a><br />
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| <a class="wiki_link" href="/Planar%20Temperament">Planar Temperament</a><br />
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| <a class="wiki_link" href="/The%20Seven%20Limit%20Symmetrical%20Lattices">The Seven Limit Symmetrical Lattices</a><br />
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| <a class="wiki_link" href="/Modulatory%20space">Modulatory space</a><br />
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| <a class="wiki_link" href="/Chordal%20space">Chordal space</a><br />
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| <a class="wiki_link" href="/Hahn%20distance">Hahn distance</a><br />
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| <a class="wiki_link" href="/Transversal">Transversal</a><br />
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| <a class="wiki_link" href="/Transversal%20generators">Transversal generators</a><br />
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| <a class="wiki_link" href="/Minkowski%20blocks">Minkowski blocks</a><br />
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| <a class="wiki_link" href="/k%2AN%20subgroups">k*N subgroups</a></body></html></pre></div>
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