MicrotonalTheory: Difference between revisions

Wikispaces>hstraub
**Imported revision 39105824 - Original comment: Byzantine**
Wikispaces>hstraub
**Imported revision 39106166 - 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:hstraub|hstraub]] and made on <tt>2008-09-22 08:27:00 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2008-09-22 08:30:18 UTC</tt>.<br>
: The original revision id was <tt>39105824</tt>.<br>
: The original revision id was <tt>39106166</tt>.<br>
: The revision comment was: <tt>Byzantine</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
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** Thai
** Thai
** Indonesian (Java, Bali)
** Indonesian (Java, Bali)
** Ancient Greek, [[http://orthodoxwiki.org/Byzantine_Chant|Byzantine]]
** Ancient Greek, [[http://orthodoxwiki.org/Byzantine_Chant#The_scale|Byzantine]]
* [[Regular Temperaments]] (including Linear Temperaments): a reality bending just intonation and equal temperaments towards one another, fleshed out in the past decade or so
* [[Regular Temperaments]] (including Linear Temperaments): a reality bending just intonation and equal temperaments towards one another, fleshed out in the past decade or so
* [[MOSScales|Moment of Symmetry]], brought to you by Erv Wilson
* [[MOSScales|Moment of Symmetry]], brought to you by Erv Wilson
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&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="Reality tunnels into microtonality"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Reality tunnels into microtonality&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Reality tunnels into microtonality"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Reality tunnels into microtonality&lt;/h1&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/JustIntonation"&gt;Just Intonation&lt;/a&gt;: an infinite world of rational numbers and numerous models: the harmonic series, tonality diamonds, eikosany, etc.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Equal%20Temperaments"&gt;Equal&lt;/a&gt; tunings: each one a subtle monoculture of intervals&lt;/li&gt;&lt;li&gt;In Western common practice music, the (somewhat forgotten) use of &lt;a class="wiki_link" href="/historical%20temperaments"&gt;historical temperaments&lt;/a&gt; (meantones, well temperaments) with 12 or more unequal notes per octave&lt;/li&gt;&lt;li&gt;Musics of traditional cultures&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian"&gt;Arabic, Turkish, Persian&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Indian"&gt;Indian&lt;/a&gt; (North, South)&lt;/li&gt;&lt;li&gt;African&lt;/li&gt;&lt;li&gt;Thai&lt;/li&gt;&lt;li&gt;Indonesian (Java, Bali)&lt;/li&gt;&lt;li&gt;Ancient Greek, &lt;a class="wiki_link_ext" href="http://orthodoxwiki.org/Byzantine_Chant" rel="nofollow"&gt;Byzantine&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt; (including Linear Temperaments): a reality bending just intonation and equal temperaments towards one another, fleshed out in the past decade or so&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;Moment of Symmetry&lt;/a&gt;, brought to you by Erv Wilson&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Empirical"&gt;Empirical&lt;/a&gt;. 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.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Pretty%20Pictures"&gt;Pretty Pictures&lt;/a&gt; that represent scales in one way or another&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Notation"&gt;Notation&lt;/a&gt; (pretty pictures for a the purpose of writing music down)&lt;/li&gt;&lt;li&gt;the notion of a &lt;a class="wiki_link" href="/Scalesmith"&gt;Scalesmith&lt;/a&gt; who &lt;em&gt;builds&lt;/em&gt; scales, with various methods, perhaps for single occasions&lt;ul&gt;&lt;li&gt;Counter-intuitive, random, arbitrary scales&lt;/li&gt;&lt;li&gt;Numerology-based, computationally demanding scales&lt;/li&gt;&lt;li&gt;Scale stretching&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;(&lt;a class="wiki_link" href="/Corollaries"&gt;Corollaries&lt;/a&gt;, traces left by other reality tunnels, which by themselves are completely trivial and obvious)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/JustIntonation"&gt;Just Intonation&lt;/a&gt;: an infinite world of rational numbers and numerous models: the harmonic series, tonality diamonds, eikosany, etc.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Equal%20Temperaments"&gt;Equal&lt;/a&gt; tunings: each one a subtle monoculture of intervals&lt;/li&gt;&lt;li&gt;In Western common practice music, the (somewhat forgotten) use of &lt;a class="wiki_link" href="/historical%20temperaments"&gt;historical temperaments&lt;/a&gt; (meantones, well temperaments) with 12 or more unequal notes per octave&lt;/li&gt;&lt;li&gt;Musics of traditional cultures&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian"&gt;Arabic, Turkish, Persian&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Indian"&gt;Indian&lt;/a&gt; (North, South)&lt;/li&gt;&lt;li&gt;African&lt;/li&gt;&lt;li&gt;Thai&lt;/li&gt;&lt;li&gt;Indonesian (Java, Bali)&lt;/li&gt;&lt;li&gt;Ancient Greek, &lt;a class="wiki_link_ext" href="http://orthodoxwiki.org/Byzantine_Chant#The_scale" rel="nofollow"&gt;Byzantine&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt; (including Linear Temperaments): a reality bending just intonation and equal temperaments towards one another, fleshed out in the past decade or so&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;Moment of Symmetry&lt;/a&gt;, brought to you by Erv Wilson&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Empirical"&gt;Empirical&lt;/a&gt;. 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.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Pretty%20Pictures"&gt;Pretty Pictures&lt;/a&gt; that represent scales in one way or another&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Notation"&gt;Notation&lt;/a&gt; (pretty pictures for a the purpose of writing music down)&lt;/li&gt;&lt;li&gt;the notion of a &lt;a class="wiki_link" href="/Scalesmith"&gt;Scalesmith&lt;/a&gt; who &lt;em&gt;builds&lt;/em&gt; scales, with various methods, perhaps for single occasions&lt;ul&gt;&lt;li&gt;Counter-intuitive, random, arbitrary scales&lt;/li&gt;&lt;li&gt;Numerology-based, computationally demanding scales&lt;/li&gt;&lt;li&gt;Scale stretching&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;(&lt;a class="wiki_link" href="/Corollaries"&gt;Corollaries&lt;/a&gt;, traces left by other reality tunnels, which by themselves are completely trivial and obvious)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="External links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;External links&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="External links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;External links&lt;/h1&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt; &lt;/h2&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt; &lt;/h2&gt;
  &lt;ul&gt;&lt;li&gt;Tonalsoft &lt;a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/encyclopedia.aspx" rel="nofollow"&gt;Encyclopedia of microtonal music theory&lt;/a&gt; - a whole sea of information on the topic, covering both historical tuning theories and modern developments&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.bikexprt.com/music/tunebibl.htm" rel="nofollow"&gt;A bibliography on musical tunings and temperaments&lt;/a&gt;, compiled by John S. Allen&lt;/li&gt;&lt;li&gt;Huygens-Fokker Foundation's &lt;a class="wiki_link_ext" href="http://www.xs4all.nl/%7Ehuygensf/doc/bib.html" rel="nofollow"&gt;Tuning &amp;amp; temperament bibliography&lt;/a&gt;, hyperlinked and updated by Manuel op de Coul&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
  &lt;ul&gt;&lt;li&gt;Tonalsoft &lt;a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/encyclopedia.aspx" rel="nofollow"&gt;Encyclopedia of microtonal music theory&lt;/a&gt; - a whole sea of information on the topic, covering both historical tuning theories and modern developments&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.bikexprt.com/music/tunebibl.htm" rel="nofollow"&gt;A bibliography on musical tunings and temperaments&lt;/a&gt;, compiled by John S. Allen&lt;/li&gt;&lt;li&gt;Huygens-Fokker Foundation's &lt;a class="wiki_link_ext" href="http://www.xs4all.nl/%7Ehuygensf/doc/bib.html" rel="nofollow"&gt;Tuning &amp;amp; temperament bibliography&lt;/a&gt;, hyperlinked and updated by Manuel op de Coul&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>