Just intonation: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 216430390 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 216432038 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-04-02 09:48:12 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-02 10:00:43 UTC</tt>.<br>
: The original revision id was <tt>216430390</tt>.<br>
: The original revision id was <tt>216432038</tt>.<br>
: The revision comment was: <tt></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>
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//8. While related to the above, the use of recurrent sequences is by some included under JI as it involves whole numbers. Wilson's [[http://anaphoria.com/wilsonintroMERU.html|Meru scales]] are a good example as well as Jacques Dudon//
//8. While related to the above, the use of recurrent sequences is by some included under JI as it involves whole numbers. Wilson's [[http://anaphoria.com/wilsonintroMERU.html|Meru scales]] are a good example as well as Jacques Dudon//


=Variations on 'Just'=  
=Variations on 'Just'=  
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[[AdaptiveJI|Adaptive JI]]
[[AdaptiveJI|Adaptive JI]]


Links to JI theory pages:
=Links=
[[hypergenesis58.scl|58 note 11 limit JI]] - hyper-Partchian!
[[hypergenesis58.scl|58 note 11 limit JI]] - hyper-Partchian!
[[http://moinmoin.riters.com/microtonal/index.cgi/Reduction|Reduction]]
[[http://moinmoin.riters.com/microtonal/index.cgi/Comma_20sequences|Comma sequences]]
[[Hahn distance]]
[[Hahn distance]]
 
[[Gallery of Just Intervals]]
=Scalesmith's gallery of Just Intonation scales=
[[Gallery of 12-tone Just Intonation Scales]]
[[Gallery of 12-tone Just Intonation Scales]]
[[boogiewoogiescale|Boogie woogie scale]]
[[boogiewoogiescale|Boogie woogie scale]]
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[[FiniteSubsetJI]]
[[FiniteSubsetJI]]


See also: [[Gallery of Just Intervals]]
 


=Articles=
=Articles=
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* [[http://www.webcitation.org/5xe30LCev|Anatomy of an Octave]] by Kyle Gann
* [[http://www.webcitation.org/5xe30LCev|Anatomy of an Octave]] by Kyle Gann
* [[http://www.webcitation.org/5xe3MeWVqWhat is Just Intonation?]] by David B. Doty
* [[http://www.webcitation.org/5xe3MeWVqWhat is Just Intonation?]] by David B. Doty
* [[http://www.webcitation.org/5xe38KWx4|A Response to Julia Werntz]] by David B. Doty</pre></div>
* [[http://www.webcitation.org/5xe38KWx4|A Response to Julia Werntz]] by David B. Doty
* [[http://www.webcitation.org/5xe4rPLZ0|Comma Sequences]] by Gene Ward Smith</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;Just intonation&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:16:&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:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;a href="#Just Intonation explained"&gt;Just Intonation explained&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Just Intonation used"&gt;Just Intonation used&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt; | &lt;a href="#toc3"&gt; &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt; | &lt;a href="#Variations on 'Just'"&gt;Variations on 'Just'&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt; | &lt;a href="#Scalesmith's gallery of Just Intonation scales"&gt;Scalesmith's gallery of Just Intonation scales&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt; | &lt;a href="#Articles"&gt;Articles&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&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;Just intonation&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:16:&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:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;a href="#Just Intonation explained"&gt;Just Intonation explained&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Just Intonation used"&gt;Just Intonation used&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt; | &lt;a href="#toc3"&gt; &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt; | &lt;a href="#Variations on 'Just'"&gt;Variations on 'Just'&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt; | &lt;a href="#Links"&gt;Links&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt; | &lt;a href="#Articles"&gt;Articles&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;
&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;hr /&gt;
&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;hr /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Just Intonation explained"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Just Intonation explained&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Just Intonation explained"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Just Intonation explained&lt;/h1&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;8. While related to the above, the use of recurrent sequences is by some included under JI as it involves whole numbers. Wilson's &lt;a class="wiki_link_ext" href="http://anaphoria.com/wilsonintroMERU.html" rel="nofollow"&gt;Meru scales&lt;/a&gt; are a good example as well as Jacques Dudon&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;8. While related to the above, the use of recurrent sequences is by some included under JI as it involves whole numbers. Wilson's &lt;a class="wiki_link_ext" href="http://anaphoria.com/wilsonintroMERU.html" rel="nofollow"&gt;Meru scales&lt;/a&gt; are a good example as well as Jacques Dudon&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Variations on 'Just'"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Variations on 'Just'&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Variations on 'Just'"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Variations on 'Just'&lt;/h1&gt;
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&lt;a class="wiki_link" href="/AdaptiveJI"&gt;Adaptive JI&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/AdaptiveJI"&gt;Adaptive JI&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Links to JI theory pages:&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Links&lt;/h1&gt;
&lt;a class="wiki_link" href="/hypergenesis58.scl"&gt;58 note 11 limit JI&lt;/a&gt; - hyper-Partchian!&lt;br /&gt;
&lt;a class="wiki_link" href="/hypergenesis58.scl"&gt;58 note 11 limit JI&lt;/a&gt; - hyper-Partchian!&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/Reduction" rel="nofollow"&gt;Reduction&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/Comma_20sequences" rel="nofollow"&gt;Comma sequences&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Hahn%20distance"&gt;Hahn distance&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Hahn%20distance"&gt;Hahn distance&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Scalesmith's gallery of Just Intonation scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Scalesmith's gallery of Just Intonation scales&lt;/h1&gt;
&lt;a class="wiki_link" href="/Gallery%20of%2012-tone%20Just%20Intonation%20Scales"&gt;Gallery of 12-tone Just Intonation Scales&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%2012-tone%20Just%20Intonation%20Scales"&gt;Gallery of 12-tone Just Intonation Scales&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/boogiewoogiescale"&gt;Boogie woogie scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/boogiewoogiescale"&gt;Boogie woogie scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Arnold%20Dreyblatt"&gt;Arnold Dreyblatt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Arnold%20Dreyblatt"&gt;Arnold Dreyblatt&lt;/a&gt;&lt;br /&gt;
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&lt;a class="wiki_link" href="/FiniteSubsetJI"&gt;FiniteSubsetJI&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/FiniteSubsetJI"&gt;FiniteSubsetJI&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
See also: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Articles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Articles&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Articles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Articles&lt;/h1&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe2iC7Nq" rel="nofollow"&gt;Just Intonation Explained&lt;/a&gt; by Kyle Gann&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe30LCev" rel="nofollow"&gt;Anatomy of an Octave&lt;/a&gt; by Kyle Gann&lt;/li&gt;&lt;li&gt;[[&lt;!-- ws:start:WikiTextUrlRule:118:http://www.webcitation.org/5xe3MeWVqWhat --&gt;&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe3MeWVqWhat" rel="nofollow"&gt;http://www.webcitation.org/5xe3MeWVqWhat&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:118 --&gt; is Just Intonation?]] by David B. Doty&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe38KWx4" rel="nofollow"&gt;A Response to Julia Werntz&lt;/a&gt; by David B. Doty&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe2iC7Nq" rel="nofollow"&gt;Just Intonation Explained&lt;/a&gt; by Kyle Gann&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe30LCev" rel="nofollow"&gt;Anatomy of an Octave&lt;/a&gt; by Kyle Gann&lt;/li&gt;&lt;li&gt;[[&lt;!-- ws:start:WikiTextUrlRule:114:http://www.webcitation.org/5xe3MeWVqWhat --&gt;&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe3MeWVqWhat" rel="nofollow"&gt;http://www.webcitation.org/5xe3MeWVqWhat&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:114 --&gt; is Just Intonation?]] by David B. Doty&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe38KWx4" rel="nofollow"&gt;A Response to Julia Werntz&lt;/a&gt; by David B. Doty&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe4rPLZ0" rel="nofollow"&gt;Comma Sequences&lt;/a&gt; by Gene Ward Smith&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>