Wikispaces>Andrew_Heathwaite |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | #REDIRECT [[List of approaches to musical tuning]] |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-11-12 14:43:35 UTC</tt>.<br>
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| : The original revision id was <tt>102241221</tt>.<br>
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| : The revision comment was: <tt>added link to "redundancy"</tt><br>
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| 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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| <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
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| =Theory: Inventions that shape understanding=
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| Theories are [[http://grace.evergreen.edu/%7Earunc/texts/cybernetics/heinz/disorder.pdf|not discoveries but inventions]] of humans, which often bring forth //new ways of experiencing//. (The music-making itself ('practice'), if at odds with existing theories, may provoke the creation of new theories.)
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| =Reality tunnels into microtonality=
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| * [[JustIntonation|Just Intonation]]: an infinite world of rational numbers and numerous models: the harmonic series, tonality diamonds, eikosany, etc.
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| * [[Equal Temperaments|Equal]] tunings: each one a subtle monoculture of intervals
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| * In Western common practice music, the (somewhat forgotten) use of [[historical temperaments]] (meantones, well temperaments) with 12 or more unequal notes per octave
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| * Musics of traditional cultures
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| ** [[Arabic, Turkish, Persian]]
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| ** [[Indian]] (North, South)
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| ** African
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| ** Thai
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| ** Indonesian (Java, Bali)
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| ** Ancient Greek, [[http://orthodoxwiki.org/Byzantine_Chant#The_scale|Byzantine]]
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| * [[Regular Temperaments]] (including Linear Temperaments): a reality bending just intonation and equal temperaments towards one another, fleshed out in the past decade or so
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| * [[MOSScales|Moment of Symmetry]], brought to you by Erv Wilson
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| * [[Empirical]]. This is a form of hands-on, field research as opposed to a form of acoustical or scale engineering where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.
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| * [[tetrachord|Tetrachordal Scales]], which use divided fourths as building blocks for composition.
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| * [[Pretty Pictures]] that represent scales in one way or another
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| * [[Notation]] (pretty pictures for a the purpose of writing music down)
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| * the notion of a [[Scalesmith]] who //builds// scales, with various methods, perhaps for single occasions
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| ** Counter-intuitive, random, arbitrary scales
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| ** Numerology-based, computationally demanding scales
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| ** Scale stretching
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| * ([[Corollaries]], traces left by other reality tunnels, which by themselves are completely trivial and obvious)
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| * [[Redundancy]] in a tuning system
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| =External links=
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| == ==
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| * Tonalsoft [[http://www.tonalsoft.com/enc/encyclopedia.aspx|Encyclopedia of microtonal music theory]] - a whole sea of information on the topic, covering both historical tuning theories and modern developments
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| * [[http://microtonalismo.com|Microtonalismo]] - Web microtonal
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| * [[http://www.bikexprt.com/music/tunebibl.htm|A bibliography on musical tunings and temperaments]], compiled by John S. Allen
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| * Huygens-Fokker Foundation's [[http://www.xs4all.nl/%7Ehuygensf/doc/bib.html|Tuning & temperament bibliography]], hyperlinked and updated by Manuel op de Coul</pre></div>
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| <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>MicrotonalTheory</title></head><body><!-- ws:start:WikiTextTocRule:8:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Theory: Inventions that shape understanding">Theory: Inventions that shape understanding</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> | <a href="#Reality tunnels into microtonality">Reality tunnels into microtonality</a><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --> | <a href="#External links">External links</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: -->
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| <!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Theory: Inventions that shape understanding"></a><!-- ws:end:WikiTextHeadingRule:0 -->Theory: Inventions that shape understanding</h1>
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| <br />
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| Theories are <a class="wiki_link_ext" href="http://grace.evergreen.edu/%7Earunc/texts/cybernetics/heinz/disorder.pdf" rel="nofollow">not discoveries but inventions</a> of humans, which often bring forth <em>new ways of experiencing</em>. (The music-making itself ('practice'), if at odds with existing theories, may provoke the creation of new theories.)<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Reality tunnels into microtonality"></a><!-- ws:end:WikiTextHeadingRule:2 -->Reality tunnels into microtonality</h1>
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| <ul><li><a class="wiki_link" href="/JustIntonation">Just Intonation</a>: an infinite world of rational numbers and numerous models: the harmonic series, tonality diamonds, eikosany, etc.</li><li><a class="wiki_link" href="/Equal%20Temperaments">Equal</a> tunings: each one a subtle monoculture of intervals</li><li>In Western common practice music, the (somewhat forgotten) use of <a class="wiki_link" href="/historical%20temperaments">historical temperaments</a> (meantones, well temperaments) with 12 or more unequal notes per octave</li><li>Musics of traditional cultures<ul><li><a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian">Arabic, Turkish, Persian</a></li><li><a class="wiki_link" href="/Indian">Indian</a> (North, South)</li><li>African</li><li>Thai</li><li>Indonesian (Java, Bali)</li><li>Ancient Greek, <a class="wiki_link_ext" href="http://orthodoxwiki.org/Byzantine_Chant#The_scale" rel="nofollow">Byzantine</a></li></ul></li><li><a class="wiki_link" href="/Regular%20Temperaments">Regular Temperaments</a> (including Linear Temperaments): a reality bending just intonation and equal temperaments towards one another, fleshed out in the past decade or so</li><li><a class="wiki_link" href="/MOSScales">Moment of Symmetry</a>, brought to you by Erv Wilson</li><li><a class="wiki_link" href="/Empirical">Empirical</a>. This is a form of hands-on, field research as opposed to a form of acoustical or scale engineering where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.</li><li><a class="wiki_link" href="/tetrachord">Tetrachordal Scales</a>, which use divided fourths as building blocks for composition.</li><li><a class="wiki_link" href="/Pretty%20Pictures">Pretty Pictures</a> that represent scales in one way or another</li><li><a class="wiki_link" href="/Notation">Notation</a> (pretty pictures for a the purpose of writing music down)</li><li>the notion of a <a class="wiki_link" href="/Scalesmith">Scalesmith</a> who <em>builds</em> scales, with various methods, perhaps for single occasions<ul><li>Counter-intuitive, random, arbitrary scales</li><li>Numerology-based, computationally demanding scales</li><li>Scale stretching</li></ul></li><li>(<a class="wiki_link" href="/Corollaries">Corollaries</a>, traces left by other reality tunnels, which by themselves are completely trivial and obvious)</li><li><a class="wiki_link" href="/Redundancy">Redundancy</a> in a tuning system</li></ul><br />
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| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="External links"></a><!-- ws:end:WikiTextHeadingRule:4 -->External links</h1>
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| <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><!-- ws:end:WikiTextHeadingRule:6 --> </h2>
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| <ul><li>Tonalsoft <a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/encyclopedia.aspx" rel="nofollow">Encyclopedia of microtonal music theory</a> - a whole sea of information on the topic, covering both historical tuning theories and modern developments</li><li><a class="wiki_link_ext" href="http://microtonalismo.com" rel="nofollow">Microtonalismo</a> - Web microtonal</li><li><a class="wiki_link_ext" href="http://www.bikexprt.com/music/tunebibl.htm" rel="nofollow">A bibliography on musical tunings and temperaments</a>, compiled by John S. Allen</li><li>Huygens-Fokker Foundation's <a class="wiki_link_ext" href="http://www.xs4all.nl/%7Ehuygensf/doc/bib.html" rel="nofollow">Tuning &amp; temperament bibliography</a>, hyperlinked and updated by Manuel op de Coul</li></ul></body></html></pre></div>
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