Gallery of wakalixes: Difference between revisions
Wikispaces>genewardsmith **Imported revision 497429576 - 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>2014-03- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-03-25 17:05:37 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>498341048</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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[[poole]] | [[poole]] | ||
[[waka3-7-17]] | [[waka3-7-17]] | ||
=Decatonic= | |||
[[line10]] | |||
=Dodecatonic= | =Dodecatonic= | ||
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[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3|Supersuperwakalix16]] by Billy Stiltner</pre></div> | [[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3|Supersuperwakalix16]] by Billy Stiltner</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"><html><head><title>Gallery of Wakalixes</title></head><body><!-- ws:start:WikiTextTocRule: | <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>Gallery of Wakalixes</title></head><body><!-- ws:start:WikiTextTocRule:38:&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:38 --><!-- ws:start:WikiTextTocRule:39: --><a href="#Pentatonic">Pentatonic</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --> | <a href="#Hexatonic">Hexatonic</a><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | <a href="#Hepatonic">Hepatonic</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --> | <a href="#Decatonic">Decatonic</a><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> | <a href="#Dodecatonic">Dodecatonic</a><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --> | <a href="#x15-tone">15-tone</a><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --> | <a href="#x16-tone">16-tone</a><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="#x17-tone">17-tone</a><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --> | <a href="#x19-tone">19-tone</a><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#x22-tone">22-tone</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#x31-tone">31-tone</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Fifth-repeating wakalixes">Fifth-repeating wakalixes</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Divisions of the Tetrachord">Divisions of the Tetrachord</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:58 --><br /> | ||
A <em>wakalix</em> is a <a class="wiki_link" href="/Fokker%20blocks">Fokker block</a> which is a Fokker block in more than one way, so that it belongs in more than one <a class="wiki_link" href="/Fokker%20blocks#First definition of a Fokker block">arena</a>. A Fokker block is a JI scale in a JI group of rank r, such that there are r-1 rank two temperaments which temper it to a MOS. If there are more than r-1 such temperaments, we have a wakalix, if there are more than r, it is a superwakalix; some of both kinds are cataloged below. An ordinary wakalix, which generates a rank r JI group and has exactly r different rank two temperaments tempering it to a MOS, is sometimes called an r-wakalix (triple wakalix, quadruple wakalix, etc.)<br /> | A <em>wakalix</em> is a <a class="wiki_link" href="/Fokker%20blocks">Fokker block</a> which is a Fokker block in more than one way, so that it belongs in more than one <a class="wiki_link" href="/Fokker%20blocks#First definition of a Fokker block">arena</a>. A Fokker block is a JI scale in a JI group of rank r, such that there are r-1 rank two temperaments which temper it to a MOS. If there are more than r-1 such temperaments, we have a wakalix, if there are more than r, it is a superwakalix; some of both kinds are cataloged below. An ordinary wakalix, which generates a rank r JI group and has exactly r different rank two temperaments tempering it to a MOS, is sometimes called an r-wakalix (triple wakalix, quadruple wakalix, etc.)<br /> | ||
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<a class="wiki_link" href="/waka3-7-17">waka3-7-17</a><br /> | <a class="wiki_link" href="/waka3-7-17">waka3-7-17</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Dodecatonic"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Decatonic"></a><!-- ws:end:WikiTextHeadingRule:6 -->Decatonic</h1> | ||
<a class="wiki_link" href="/line10">line10</a><br /> | |||
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<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Dodecatonic"></a><!-- ws:end:WikiTextHeadingRule:8 -->Dodecatonic</h1> | |||
<a class="wiki_link" href="/biggulp">biggulp</a><br /> | <a class="wiki_link" href="/biggulp">biggulp</a><br /> | ||
<a class="wiki_link" href="/meansruhelm">meansruhelm</a><br /> | <a class="wiki_link" href="/meansruhelm">meansruhelm</a><br /> | ||
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<br /> | <br /> | ||
<a class="wiki_link" href="/parizek-miller%20hexagon">parizek-miller hexagon</a><br /> | <a class="wiki_link" href="/parizek-miller%20hexagon">parizek-miller hexagon</a><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Dodecatonic-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:10 -->Superwakalix</h2> | ||
<a class="wiki_link" href="/domdimpajinjmean">domdimpajinjmean</a><br /> | <a class="wiki_link" href="/domdimpajinjmean">domdimpajinjmean</a><br /> | ||
<a class="wiki_link" href="/domdimpajinjschis">domdimpajinjschis</a><br /> | <a class="wiki_link" href="/domdimpajinjschis">domdimpajinjschis</a><br /> | ||
<a class="wiki_link" href="/collapsar">collapsar</a><br /> | <a class="wiki_link" href="/collapsar">collapsar</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="x15-tone"></a><!-- ws:end:WikiTextHeadingRule:12 -->15-tone</h1> | ||
<a class="wiki_link" href="/blackopkeegil1">blackopkeegil1</a><br /> | <a class="wiki_link" href="/blackopkeegil1">blackopkeegil1</a><br /> | ||
<a class="wiki_link" href="/blackopkeegil2">blackopkeegil2</a><br /> | <a class="wiki_link" href="/blackopkeegil2">blackopkeegil2</a><br /> | ||
<a class="wiki_link" href="/primewak15">primewak15</a><br /> | <a class="wiki_link" href="/primewak15">primewak15</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="x16-tone"></a><!-- ws:end:WikiTextHeadingRule:14 -->16-tone</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x16-tone-Supersuperwakalix"></a><!-- ws:end:WikiTextHeadingRule:16 -->Supersuperwakalix</h2> | ||
<a class="wiki_link" href="/supersuper16">supersuper16</a><br /> | <a class="wiki_link" href="/supersuper16">supersuper16</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="x17-tone"></a><!-- ws:end:WikiTextHeadingRule:18 -->17-tone</h1> | ||
<a class="wiki_link" href="/cartwheel">cartwheel</a><br /> | <a class="wiki_link" href="/cartwheel">cartwheel</a><br /> | ||
<a class="wiki_link" href="/parizekhex">parizekhex</a><br /> | <a class="wiki_link" href="/parizekhex">parizekhex</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="x19-tone"></a><!-- ws:end:WikiTextHeadingRule:20 -->19-tone</h1> | ||
<a class="wiki_link" href="/godmeankeeflat1">godmeankeeflat1</a><br /> | <a class="wiki_link" href="/godmeankeeflat1">godmeankeeflat1</a><br /> | ||
<a class="wiki_link" href="/godmeankeeflat2">godmeankeeflat2</a><br /> | <a class="wiki_link" href="/godmeankeeflat2">godmeankeeflat2</a><br /> | ||
<a class="wiki_link" href="/godmeankeeflat3">godmeankeeflat3</a><br /> | <a class="wiki_link" href="/godmeankeeflat3">godmeankeeflat3</a><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="x19-tone-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:22 -->Superwakalix</h2> | ||
<a class="wiki_link" href="/superclipgenus19">superclipgenus19</a><br /> | <a class="wiki_link" href="/superclipgenus19">superclipgenus19</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="x22-tone"></a><!-- ws:end:WikiTextHeadingRule:24 -->22-tone</h1> | ||
<a class="wiki_link" href="/pajhedgepythquas1">pajhedgepythquas1</a><br /> | <a class="wiki_link" href="/pajhedgepythquas1">pajhedgepythquas1</a><br /> | ||
<a class="wiki_link" href="/pajhedgepythquas2">pajhedgepythquas2</a><br /> | <a class="wiki_link" href="/pajhedgepythquas2">pajhedgepythquas2</a><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x22-tone-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:26 -->Superwakalix</h2> | ||
<a class="wiki_link" href="/hppshq">hppshq</a><br /> | <a class="wiki_link" href="/hppshq">hppshq</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="x31-tone"></a><!-- ws:end:WikiTextHeadingRule:28 -->31-tone</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="x31-tone-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:30 -->Superwakalix</h2> | ||
<a class="wiki_link" href="/meansqunumigpopmo">meansqunumigpopmo</a><br /> | <a class="wiki_link" href="/meansqunumigpopmo">meansqunumigpopmo</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Fifth-repeating wakalixes"></a><!-- ws:end:WikiTextHeadingRule:32 -->Fifth-repeating wakalixes</h1> | ||
<a class="wiki_link" href="/superfif7a">superfif7a</a><br /> | <a class="wiki_link" href="/superfif7a">superfif7a</a><br /> | ||
<a class="wiki_link" href="/superfif7b">superfif7b</a><br /> | <a class="wiki_link" href="/superfif7b">superfif7b</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Divisions of the Tetrachord"></a><!-- ws:end:WikiTextHeadingRule:34 -->Divisions of the Tetrachord</h1> | ||
<a class="wiki_link" href="/dicot-meantone%20tetrachord%20arena">dicot-meantone tetrachord arena</a><br /> | <a class="wiki_link" href="/dicot-meantone%20tetrachord%20arena">dicot-meantone tetrachord arena</a><br /> | ||
<a class="wiki_link" href="/dominant-diminished-pajara%20tetrachord%20arena">dominant-diminished-pajara tetrachord arena</a><br /> | <a class="wiki_link" href="/dominant-diminished-pajara%20tetrachord%20arena">dominant-diminished-pajara tetrachord arena</a><br /> | ||
<a class="wiki_link" href="/august-pajara-augene%20tetrachord%20arena">august-pajara-augene tetrachord arena</a><br /> | <a class="wiki_link" href="/august-pajara-augene%20tetrachord%20arena">august-pajara-augene tetrachord arena</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:36 -->Music</h1> | ||
<a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2256" rel="nofollow">Improvisational wakalix survey</a> by Chris Vaisvil<br /> | <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2256" rel="nofollow">Improvisational wakalix survey</a> by Chris Vaisvil<br /> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3" rel="nofollow">Supersuperwakalix16</a> by Billy Stiltner</body></html></pre></div> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3" rel="nofollow">Supersuperwakalix16</a> by Billy Stiltner</body></html></pre></div> | ||