Gallery of wakalixes: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 319998680 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 319999458 - Original comment: **
Line 1: Line 1:
<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>2012-04-12 18:39:31 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-04-12 18:42:59 UTC</tt>.<br>
: The original revision id was <tt>319998680</tt>.<br>
: The original revision id was <tt>319999458</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>
<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">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.)
<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]]
 
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=  
=Pentatonic=  
Line 60: Line 62:
[[dicot-meantone tetrachord arena]]</pre></div>
[[dicot-meantone tetrachord arena]]</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;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;
<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:30:&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:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;a href="#Pentatonic"&gt;Pentatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt; | &lt;a href="#Hexatonic"&gt;Hexatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt; | &lt;a href="#Hepatonic"&gt;Hepatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt; | &lt;a href="#Dodecatonic"&gt;Dodecatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt; | &lt;a href="#x15-tone"&gt;15-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt; | &lt;a href="#x16-tone"&gt;16-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt; | &lt;a href="#x19-tone"&gt;19-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt; | &lt;a href="#x22-tone"&gt;22-tone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt; | &lt;a href="#x31-tone"&gt;31-tone&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="#Divisions of the Tetrachord"&gt;Divisions of the Tetrachord&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;
&lt;!-- ws:end:WikiTextTocRule:46 --&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;
&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="Pentatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Pentatonic&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Pentatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Pentatonic&lt;/h1&gt;

Revision as of 18:42, 12 April 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-04-12 18:42:59 UTC.
The original revision id was 319999458.
The revision comment was:

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]]

=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]]

=Divisions of the Tetrachord=
[[dicot-meantone tetrachord arena]]

Original HTML content:

<html><head><title>Gallery of Wakalixes</title></head><body><!-- ws:start:WikiTextTocRule:30:&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:30 --><!-- ws:start:WikiTextTocRule:31: --><a href="#Pentatonic">Pentatonic</a><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --> | <a href="#Hexatonic">Hexatonic</a><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --> | <a href="#Hepatonic">Hepatonic</a><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --> | <a href="#Dodecatonic">Dodecatonic</a><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --> | <a href="#x15-tone">15-tone</a><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --> | <a href="#x16-tone">16-tone</a><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#x19-tone">19-tone</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | <a href="#x22-tone">22-tone</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> | <a href="#x31-tone">31-tone</a><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --> | <a href="#Divisions of the Tetrachord">Divisions of the Tetrachord</a><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: -->
<!-- ws:end:WikiTextTocRule:46 --><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 />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><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:&lt;h2&gt; --><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:&lt;h1&gt; --><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:&lt;h1&gt; --><h1 id="toc6"><a name="x16-tone"></a><!-- ws:end:WikiTextHeadingRule:12 -->16-tone</h1>
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><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:&lt;h1&gt; --><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:&lt;h2&gt; --><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:&lt;h1&gt; --><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:&lt;h2&gt; --><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:&lt;h1&gt; --><h1 id="toc12"><a name="x31-tone"></a><!-- ws:end:WikiTextHeadingRule:24 -->31-tone</h1>
 <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><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:&lt;h1&gt; --><h1 id="toc14"><a name="Divisions of the Tetrachord"></a><!-- ws:end:WikiTextHeadingRule:28 -->Divisions of the Tetrachord</h1>
<a class="wiki_link" href="/dicot-meantone%20tetrachord%20arena">dicot-meantone tetrachord arena</a></body></html>