MicrotonalTheory: Difference between revisions

Wikispaces>hstraub
**Imported revision 7235377 - Original comment: **
Wikispaces>xenjacob
**Imported revision 8057093 - Original comment: i'm really proud of this, but don't like its treatment of nonwestern traditions**
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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>2007-08-27 09:32:44 UTC</tt>.<br>
: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2007-09-17 02:28:44 UTC</tt>.<br>
: The original revision id was <tt>7235377</tt>.<br>
: The original revision id was <tt>8057093</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>i'm really proud of this, but don't like its treatment of nonwestern traditions</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>
<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]]
<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]]


=Theory: Inventions that shape understanding=


----
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.)


=Miscellaneous=  
=Reality tunnels into microtonality=  
 
* [[JustIntonation|Just Intonation]]: an infinite world of rational numbers and numerous models: the harmonic series, tonality diamonds, eikosany, etc.
* [[Regular Temperaments]]
* [[Equal Temperaments|Equal]] tunings, the tuning equivalent of monoculture
* [[MOSScales|MOS scales]]
* [[Regular Temperaments]] (including Linear Temperaments): a reality bending just intonation and equal temperaments together, fleshed out in the past decade or so
* A place for "obvious" statements to live: [[Corollaries]]
* [[MOSScales|Moment of Symmetry]], brought to you by Erv Wilson
* [[Notation]]
* [[Pretty Pictures]] which often come out of the need to see something in an abstract way
 
* [[Notation]] (pretty pictures for a practical purpose)
Also see theory sections for [[Equal Temperaments|equal temperaments]] and [[JustIntonation|just intonation]].
* 'non-Western' musical traditions, including
 
** [[Arabic, Turkish, Persian]]
=Existing microtonal music traditions=
** [[Indian]] (North, South)
* [[Arabic, Turkish, Persian]]
** Thai
* [[Indian]]
** Indonesian (Java, Bali)
* the notion of a [[Scalesmith]] who //builds// scales, with various methods, perhaps for single occasions
* [[Corollaries|(Corollaries]], traces left by other reality tunnels, which by themselves are completely trivial and obvious)


=External links=  
=External links=  
== ==  
== ==  
* Joe Monzo's [[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
* 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
 
* [[http://www.bikexprt.com/music/tunebibl.htm| A bibliography on musical tunings and temperaments]], compiled by John S. Allen
=Bibliographies=
* Huygens-Fokker Foundation's [[http://www.xs4all.nl/%7Ehuygensf/doc/bib.html|Tuning &amp; temperament bibliography]], hyperlinked and updated by Manuel op de Coul</pre></div>
* [[http://www.bikexprt.com/music/tunebibl.htm| A bibliography on musical tunings and temperaments]], compiled by John S. Allen</pre></div>
<h4>Original HTML content:</h4>
<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;MicrotonalTheory&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:10:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;a href="#Miscellaneous"&gt;Miscellaneous&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt; | &lt;a href="#Existing microtonal music traditions"&gt;Existing microtonal music traditions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt; | &lt;a href="#External links"&gt;External links&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt; | &lt;a href="#Bibliographies"&gt;Bibliographies&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;
<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;MicrotonalTheory&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:8:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;a href="#Theory: Inventions that shape understanding"&gt;Theory: Inventions that shape understanding&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt; | &lt;a href="#Reality tunnels into microtonality"&gt;Reality tunnels into microtonality&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt; | &lt;a href="#External links"&gt;External links&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;
&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&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="Theory: Inventions that shape understanding"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Theory: Inventions that shape understanding&lt;/h1&gt;
&lt;hr /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Miscellaneous"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Miscellaneous&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS scales&lt;/a&gt;&lt;/li&gt;&lt;li&gt;A place for &amp;quot;obvious&amp;quot; statements to live: &lt;a class="wiki_link" href="/Corollaries"&gt;Corollaries&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Notation"&gt;Notation&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
Theories are &lt;a class="wiki_link_ext" href="http://grace.evergreen.edu/%7Earunc/texts/cybernetics/heinz/disorder.pdf" rel="nofollow"&gt;not discoveries but inventions&lt;/a&gt; of humans, which often bring forth &lt;em&gt;new ways of experiencing&lt;/em&gt;. (The music-making itself ('practice'), if at odds with existing theories, may provoke the creation of new theories.)&lt;br /&gt;
Also see theory sections for &lt;a class="wiki_link" href="/Equal%20Temperaments"&gt;equal temperaments&lt;/a&gt; and &lt;a class="wiki_link" href="/JustIntonation"&gt;just intonation&lt;/a&gt;.&lt;br /&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="Existing microtonal music traditions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Existing microtonal music traditions&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="/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;&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, the tuning equivalent of monoculture&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 together, 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="/Pretty%20Pictures"&gt;Pretty Pictures&lt;/a&gt; which often come out of the need to see something in an abstract way&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Notation"&gt;Notation&lt;/a&gt; (pretty pictures for a practical purpose)&lt;/li&gt;&lt;li&gt;'non-Western' musical traditions, including&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;Thai&lt;/li&gt;&lt;li&gt;Indonesian (Java, Bali)&lt;/li&gt;&lt;/ul&gt;&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;/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;Joe Monzo's &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;/ul&gt;&lt;br /&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;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Bibliographies"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Bibliographies&lt;/h1&gt;
&lt;ul&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;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>