Gallery of wakalixes
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[[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]] =Dodecatonic= [[biggulp]] [[meansruhelm]] [[prism]] [[wilson_class]] ==Superwakalix== [[domdimpajinjmean]] [[domdimpajinjschis]] =15-tone= [[blackopkeegil1]] [[blackopkeegil2]] [[primewak15]] =16-tone= ==Supersuperwakalix== [[supersuper16]] =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]]
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<html><head><title>Gallery of Wakalixes</title></head><body><!-- ws:start:WikiTextTocRule:32:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><a href="#Pentatonic">Pentatonic</a><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --> | <a href="#Hexatonic">Hexatonic</a><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#Hepatonic">Hepatonic</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --> | <a href="#Dodecatonic">Dodecatonic</a><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --> | <a href="#x15-tone">15-tone</a><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#x16-tone">16-tone</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | <a href="#x19-tone">19-tone</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> | <a href="#x22-tone">22-tone</a><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --> | <a href="#x31-tone">31-tone</a><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --> | <a href="#Fifth-repeating wakalixes">Fifth-repeating wakalixes</a><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="#Divisions of the Tetrachord">Divisions of the Tetrachord</a><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --> <!-- ws:end:WikiTextTocRule:49 --><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:<h1> --><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:<h1> --><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:<h1> --><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 /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Dodecatonic"></a><!-- ws:end:WikiTextHeadingRule:6 -->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="/wilson_class">wilson_class</a><br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Dodecatonic-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:8 -->Superwakalix</h2> <a class="wiki_link" href="/domdimpajinjmean">domdimpajinjmean</a><br /> <a class="wiki_link" href="/domdimpajinjschis">domdimpajinjschis</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="x15-tone"></a><!-- ws:end:WikiTextHeadingRule:10 -->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:12:<h1> --><h1 id="toc6"><a name="x16-tone"></a><!-- ws:end:WikiTextHeadingRule:12 -->16-tone</h1> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="x16-tone-Supersuperwakalix"></a><!-- ws:end:WikiTextHeadingRule:14 -->Supersuperwakalix</h2> <a class="wiki_link" href="/supersuper16">supersuper16</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h1> --><h1 id="toc8"><a name="x19-tone"></a><!-- ws:end:WikiTextHeadingRule:16 -->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:18:<h2> --><h2 id="toc9"><a name="x19-tone-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:18 -->Superwakalix</h2> <a class="wiki_link" href="/superclipgenus19">superclipgenus19</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h1> --><h1 id="toc10"><a name="x22-tone"></a><!-- ws:end:WikiTextHeadingRule:20 -->22-tone</h1> <a class="wiki_link" href="/pajhedgepythquas1">pajhedgepythquas1</a><br /> <a class="wiki_link" href="/pajhedgepythquas2">pajhedgepythquas2</a><br /> <!-- ws:start:WikiTextHeadingRule:22:<h2> --><h2 id="toc11"><a name="x22-tone-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:22 -->Superwakalix</h2> <a class="wiki_link" href="/hppshq">hppshq</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h1> --><h1 id="toc12"><a name="x31-tone"></a><!-- ws:end:WikiTextHeadingRule:24 -->31-tone</h1> <!-- ws:start:WikiTextHeadingRule:26:<h2> --><h2 id="toc13"><a name="x31-tone-Superwakalix"></a><!-- ws:end:WikiTextHeadingRule:26 -->Superwakalix</h2> <a class="wiki_link" href="/meansqunumigpopmo">meansqunumigpopmo</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h1> --><h1 id="toc14"><a name="Fifth-repeating wakalixes"></a><!-- ws:end:WikiTextHeadingRule:28 -->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:30:<h1> --><h1 id="toc15"><a name="Divisions of the Tetrachord"></a><!-- ws:end:WikiTextHeadingRule:30 -->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></body></html>