Gallery of wakalixes: Difference between revisions

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**Imported revision 498341048 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 498354158 - 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>2014-03-25 17:05:37 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-03-25 18:00:50 UTC</tt>.<br>
: The original revision id was <tt>498341048</tt>.<br>
: The original revision id was <tt>498354158</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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[[domdimpajinjschis]]
[[domdimpajinjschis]]
[[collapsar]]
[[collapsar]]
=13-tone=
[[dwarf13_7d]]


=15-tone=  
=15-tone=  
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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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Gallery of Wakalixes&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:38:&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:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt;&lt;a href="#Pentatonic"&gt;Pentatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt; | &lt;a href="#Hexatonic"&gt;Hexatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt; | &lt;a href="#Hepatonic"&gt;Hepatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt; | &lt;a href="#Decatonic"&gt;Decatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt; | &lt;a href="#Dodecatonic"&gt;Dodecatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt; | &lt;a href="#x15-tone"&gt;15-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt; | &lt;a href="#x16-tone"&gt;16-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt; | &lt;a href="#x17-tone"&gt;17-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt; | &lt;a href="#x19-tone"&gt;19-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt;&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt; | &lt;a href="#x22-tone"&gt;22-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt;&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt; | &lt;a href="#x31-tone"&gt;31-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt;&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt; | &lt;a href="#Fifth-repeating wakalixes"&gt;Fifth-repeating wakalixes&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt; | &lt;a href="#Divisions of the Tetrachord"&gt;Divisions of the Tetrachord&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt; | &lt;a href="#Music"&gt;Music&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&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;Gallery of Wakalixes&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:40:&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:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;a href="#Pentatonic"&gt;Pentatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt; | &lt;a href="#Hexatonic"&gt;Hexatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt; | &lt;a href="#Hepatonic"&gt;Hepatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt; | &lt;a href="#Decatonic"&gt;Decatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt; | &lt;a href="#Dodecatonic"&gt;Dodecatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt; | &lt;a href="#x13-tone"&gt;13-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt; | &lt;a href="#x15-tone"&gt;15-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt; | &lt;a href="#x16-tone"&gt;16-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt;&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt; | &lt;a href="#x17-tone"&gt;17-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt; | &lt;a href="#x19-tone"&gt;19-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt;&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt; | &lt;a href="#x22-tone"&gt;22-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt; | &lt;a href="#x31-tone"&gt;31-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt; | &lt;a href="#Fifth-repeating wakalixes"&gt;Fifth-repeating wakalixes&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt; | &lt;a href="#Divisions of the Tetrachord"&gt;Divisions of the Tetrachord&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt; | &lt;a href="#Music"&gt;Music&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt;
&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;br /&gt;
A &lt;em&gt;wakalix&lt;/em&gt; is a &lt;a class="wiki_link" href="/Fokker%20blocks"&gt;Fokker block&lt;/a&gt; which is a Fokker block in more than one way, so that it belongs in more than one &lt;a class="wiki_link" href="/Fokker%20blocks#First definition of a Fokker block"&gt;arena&lt;/a&gt;. 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.)&lt;br /&gt;
A &lt;em&gt;wakalix&lt;/em&gt; is a &lt;a class="wiki_link" href="/Fokker%20blocks"&gt;Fokker block&lt;/a&gt; which is a Fokker block in more than one way, so that it belongs in more than one &lt;a class="wiki_link" href="/Fokker%20blocks#First definition of a Fokker block"&gt;arena&lt;/a&gt;. 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.)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&lt;a class="wiki_link" href="/collapsar"&gt;collapsar&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/collapsar"&gt;collapsar&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x15-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;15-tone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x13-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;13-tone&lt;/h1&gt;
&lt;a class="wiki_link" href="/dwarf13_7d"&gt;dwarf13_7d&lt;/a&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="x15-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;15-tone&lt;/h1&gt;
  &lt;a class="wiki_link" href="/blackopkeegil1"&gt;blackopkeegil1&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="/blackopkeegil1"&gt;blackopkeegil1&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/blackopkeegil2"&gt;blackopkeegil2&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/blackopkeegil2"&gt;blackopkeegil2&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/primewak15"&gt;primewak15&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/primewak15"&gt;primewak15&lt;/a&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="x16-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;16-tone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="x16-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;16-tone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x16-tone-Supersuperwakalix"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Supersuperwakalix&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x16-tone-Supersuperwakalix"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Supersuperwakalix&lt;/h2&gt;
  &lt;a class="wiki_link" href="/supersuper16"&gt;supersuper16&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="/supersuper16"&gt;supersuper16&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="x17-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;17-tone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="x17-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;17-tone&lt;/h1&gt;
&lt;a class="wiki_link" href="/cartwheel"&gt;cartwheel&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/cartwheel"&gt;cartwheel&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/parizekhex"&gt;parizekhex&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/parizekhex"&gt;parizekhex&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="x19-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;19-tone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="x19-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;19-tone&lt;/h1&gt;
  &lt;a class="wiki_link" href="/godmeankeeflat1"&gt;godmeankeeflat1&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="/godmeankeeflat1"&gt;godmeankeeflat1&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/godmeankeeflat2"&gt;godmeankeeflat2&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/godmeankeeflat2"&gt;godmeankeeflat2&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/godmeankeeflat3"&gt;godmeankeeflat3&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/godmeankeeflat3"&gt;godmeankeeflat3&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x19-tone-Superwakalix"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Superwakalix&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x19-tone-Superwakalix"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Superwakalix&lt;/h2&gt;
  &lt;a class="wiki_link" href="/superclipgenus19"&gt;superclipgenus19&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="/superclipgenus19"&gt;superclipgenus19&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="x22-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;22-tone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="x22-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;22-tone&lt;/h1&gt;
  &lt;a class="wiki_link" href="/pajhedgepythquas1"&gt;pajhedgepythquas1&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="/pajhedgepythquas1"&gt;pajhedgepythquas1&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pajhedgepythquas2"&gt;pajhedgepythquas2&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pajhedgepythquas2"&gt;pajhedgepythquas2&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x22-tone-Superwakalix"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Superwakalix&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x22-tone-Superwakalix"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Superwakalix&lt;/h2&gt;
  &lt;a class="wiki_link" href="/hppshq"&gt;hppshq&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="/hppshq"&gt;hppshq&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="x31-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;31-tone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="x31-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;31-tone&lt;/h1&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="x31-tone-Superwakalix"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Superwakalix&lt;/h2&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="x31-tone-Superwakalix"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Superwakalix&lt;/h2&gt;
&lt;a class="wiki_link" href="/meansqunumigpopmo"&gt;meansqunumigpopmo&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/meansqunumigpopmo"&gt;meansqunumigpopmo&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Fifth-repeating wakalixes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Fifth-repeating wakalixes&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Fifth-repeating wakalixes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Fifth-repeating wakalixes&lt;/h1&gt;
&lt;a class="wiki_link" href="/superfif7a"&gt;superfif7a&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/superfif7a"&gt;superfif7a&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/superfif7b"&gt;superfif7b&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/superfif7b"&gt;superfif7b&lt;/a&gt;&lt;br /&gt;
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&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Divisions of the Tetrachord"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Divisions of the Tetrachord&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Divisions of the Tetrachord"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Divisions of the Tetrachord&lt;/h1&gt;
&lt;a class="wiki_link" href="/dicot-meantone%20tetrachord%20arena"&gt;dicot-meantone tetrachord arena&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dicot-meantone%20tetrachord%20arena"&gt;dicot-meantone tetrachord arena&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dominant-diminished-pajara%20tetrachord%20arena"&gt;dominant-diminished-pajara tetrachord arena&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dominant-diminished-pajara%20tetrachord%20arena"&gt;dominant-diminished-pajara tetrachord arena&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/august-pajara-augene%20tetrachord%20arena"&gt;august-pajara-augene tetrachord arena&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/august-pajara-augene%20tetrachord%20arena"&gt;august-pajara-augene tetrachord arena&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Music&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Music&lt;/h1&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2256" rel="nofollow"&gt;Improvisational wakalix survey&lt;/a&gt; by Chris Vaisvil&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2256" rel="nofollow"&gt;Improvisational wakalix survey&lt;/a&gt; by Chris Vaisvil&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3" rel="nofollow"&gt;Supersuperwakalix16&lt;/a&gt; by Billy Stiltner&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3" rel="nofollow"&gt;Supersuperwakalix16&lt;/a&gt; by Billy Stiltner&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 18:00, 25 March 2014

IMPORTED REVISION FROM WIKISPACES

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This revision was by author genewardsmith and made on 2014-03-25 18:00:50 UTC.
The original revision id was 498354158.
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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.

Original Wikitext content:

[[toc|flat]]

A //wakalix// is a [[Fokker blocks|Fokker block]] which is a Fokker block in more than one way, so that it belongs in more than one [[Fokker blocks#First definition of a Fokker block|arena]]. 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.)

=Pentatonic= 
[[fathbugmean1]]
[[fathbugmean2]]

=Hexatonic= 
[[ternessbabdec]]

=Hepatonic= 
[[dimeanmav1]]
[[dimeanmav2]]
[[dimeanporc]]
[[dimavenipu]]
[[poole]]
[[waka3-7-17]]

=Decatonic=
[[line10]]

=Dodecatonic= 
[[biggulp]]
[[meansruhelm]]
[[prism]]
[[thirteendene]]
[[wilson_class]]
[[augdimhextrug]]

[[parizek-miller hexagon]]
==Superwakalix== 
[[domdimpajinjmean]]
[[domdimpajinjschis]]
[[collapsar]]

=13-tone=
[[dwarf13_7d]]

=15-tone= 
[[blackopkeegil1]]
[[blackopkeegil2]]
[[primewak15]]

=16-tone=
==Supersuperwakalix== 
[[supersuper16]]

=17-tone=
[[cartwheel]]
[[parizekhex]]

=19-tone= 
[[godmeankeeflat1]]
[[godmeankeeflat2]]
[[godmeankeeflat3]]
==Superwakalix== 
[[superclipgenus19]]

=22-tone= 
[[pajhedgepythquas1]]
[[pajhedgepythquas2]]
==Superwakalix== 
[[hppshq]]

=31-tone= 
==Superwakalix==
[[meansqunumigpopmo]]

=Fifth-repeating wakalixes=
[[superfif7a]]
[[superfif7b]]

=Divisions of the Tetrachord=
[[dicot-meantone tetrachord arena]]
[[dominant-diminished-pajara tetrachord arena]]
[[august-pajara-augene tetrachord arena]]

=Music=
[[http://chrisvaisvil.com/?p=2256|Improvisational wakalix survey]] by Chris Vaisvil
[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3|Supersuperwakalix16]] by Billy Stiltner

Original HTML content:

<html><head><title>Gallery of Wakalixes</title></head><body><!-- ws:start:WikiTextTocRule:40:&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:40 --><!-- ws:start:WikiTextTocRule:41: --><a href="#Pentatonic">Pentatonic</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --> | <a href="#Hexatonic">Hexatonic</a><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> | <a href="#Hepatonic">Hepatonic</a><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --> | <a href="#Decatonic">Decatonic</a><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --> | <a href="#Dodecatonic">Dodecatonic</a><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --> | <a href="#x13-tone">13-tone</a><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="#x15-tone">15-tone</a><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --> | <a href="#x16-tone">16-tone</a><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#x17-tone">17-tone</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --> | <a href="#x19-tone">19-tone</a><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --> | <a href="#x22-tone">22-tone</a><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#x31-tone">31-tone</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Fifth-repeating wakalixes">Fifth-repeating wakalixes</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Divisions of the Tetrachord">Divisions of the Tetrachord</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: -->
<!-- ws:end:WikiTextTocRule:61 --><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 />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Pentatonic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Pentatonic</h1>
 <a class="wiki_link" href="/fathbugmean1">fathbugmean1</a><br />
<a class="wiki_link" href="/fathbugmean2">fathbugmean2</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Hexatonic"></a><!-- ws:end:WikiTextHeadingRule:2 -->Hexatonic</h1>
 <a class="wiki_link" href="/ternessbabdec">ternessbabdec</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Hepatonic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Hepatonic</h1>
 <a class="wiki_link" href="/dimeanmav1">dimeanmav1</a><br />
<a class="wiki_link" href="/dimeanmav2">dimeanmav2</a><br />
<a class="wiki_link" href="/dimeanporc">dimeanporc</a><br />
<a class="wiki_link" href="/dimavenipu">dimavenipu</a><br />
<a class="wiki_link" href="/poole">poole</a><br />
<a class="wiki_link" href="/waka3-7-17">waka3-7-17</a><br />
<br />
<!-- 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 />
<br />
<!-- 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="/meansruhelm">meansruhelm</a><br />
<a class="wiki_link" href="/prism">prism</a><br />
<a class="wiki_link" href="/thirteendene">thirteendene</a><br />
<a class="wiki_link" href="/wilson_class">wilson_class</a><br />
<a class="wiki_link" href="/augdimhextrug">augdimhextrug</a><br />
<br />
<a class="wiki_link" href="/parizek-miller%20hexagon">parizek-miller hexagon</a><br />
<!-- 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="/domdimpajinjschis">domdimpajinjschis</a><br />
<a class="wiki_link" href="/collapsar">collapsar</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="x13-tone"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-tone</h1>
<a class="wiki_link" href="/dwarf13_7d">dwarf13_7d</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="x15-tone"></a><!-- ws:end:WikiTextHeadingRule:14 -->15-tone</h1>
 <a class="wiki_link" href="/blackopkeegil1">blackopkeegil1</a><br />
<a class="wiki_link" href="/blackopkeegil2">blackopkeegil2</a><br />
<a class="wiki_link" href="/primewak15">primewak15</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="x16-tone"></a><!-- ws:end:WikiTextHeadingRule:16 -->16-tone</h1>
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="x16-tone-Supersuperwakalix"></a><!-- ws:end:WikiTextHeadingRule:18 -->Supersuperwakalix</h2>
 <a class="wiki_link" href="/supersuper16">supersuper16</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="x17-tone"></a><!-- ws:end:WikiTextHeadingRule:20 -->17-tone</h1>
<a class="wiki_link" href="/cartwheel">cartwheel</a><br />
<a class="wiki_link" href="/parizekhex">parizekhex</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="x19-tone"></a><!-- ws:end:WikiTextHeadingRule:22 -->19-tone</h1>
 <a class="wiki_link" href="/godmeankeeflat1">godmeankeeflat1</a><br />
<a class="wiki_link" href="/godmeankeeflat2">godmeankeeflat2</a><br />
<a class="wiki_link" href="/godmeankeeflat3">godmeankeeflat3</a><br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="x19-tone-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:24 -->Superwakalix</h2>
 <a class="wiki_link" href="/superclipgenus19">superclipgenus19</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="x22-tone"></a><!-- ws:end:WikiTextHeadingRule:26 -->22-tone</h1>
 <a class="wiki_link" href="/pajhedgepythquas1">pajhedgepythquas1</a><br />
<a class="wiki_link" href="/pajhedgepythquas2">pajhedgepythquas2</a><br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x22-tone-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:28 -->Superwakalix</h2>
 <a class="wiki_link" href="/hppshq">hppshq</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="x31-tone"></a><!-- ws:end:WikiTextHeadingRule:30 -->31-tone</h1>
 <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="x31-tone-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:32 -->Superwakalix</h2>
<a class="wiki_link" href="/meansqunumigpopmo">meansqunumigpopmo</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Fifth-repeating wakalixes"></a><!-- ws:end:WikiTextHeadingRule:34 -->Fifth-repeating wakalixes</h1>
<a class="wiki_link" href="/superfif7a">superfif7a</a><br />
<a class="wiki_link" href="/superfif7b">superfif7b</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Divisions of the Tetrachord"></a><!-- ws:end:WikiTextHeadingRule:36 -->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="/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 />
<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:38 -->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://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3" rel="nofollow">Supersuperwakalix16</a> by Billy Stiltner</body></html>