Jubilismic clan: Difference between revisions

Revision as of 18:17, 23 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 2012-04-23 18:17:45 UTC.

The original revision id was 324368338.

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]]

This tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are identified and the octave is divided in two. Doublewide lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.

No-threes [[POTE tuning|POTE generator]]: 380.840

No-threes map: [<2 0 1 1|, <0 0 1 1|]
EDOs: [[10edo|10]], [[12edo|12]], [[16edo|16]], [[22edo|22]], [[104edo|104]]

=Diminished=
Commas: 36/35, 50/49

[[POTE tuning|POTE generator]]: ~3/2 = 699.523

Map: [<4 0 3 5|, <0 1 1 1|]
EDOs: [[4edo|4]], [[12edo|12]]
Badness: 0.0224

==11-limit==
Commas: 36/35, 50/49, 56/55

[[POTE tuning|POTE generator]]: ~3/2 = 709.109

Map: [<4 0 3 5 14|, <0 1 1 1 0|]
EDOs: [[4edo|4]], [[8edo|8]], [[12edo|12]], [[44edo|44]]
Badness: 0.0221

==Demolished==
Commas: 36/35, 45/44, 50/49

POTE generator: ~3/2 = 689.881

Map: [<4 0 3 5 -5|, <0 1 1 1 3|]
EDOs: 12, 28, 40de
Badness: 0.0266

=Doublewide=
Commas: 50/49, 875/864

[[POTE tuning|POTE generator]]: ~6/5 = 325.719

Map: [<2 1 3 4|, <0 4 3 3|]
EDOs: [[18edo|18]], [[22edo|22]], [[26edo]], [[48edo|48]], [[70edo|70]]
Badness: 0.0435

==11-limit==
Commas: 50/49, 99/98, 875/864

[[POTE tuning|POTE generator]]: ~6/5 = 325.548

Map: [<2 1 3 4 8|, <0 4 3 3 -2|]
EDOs: [[18edo|18]], [[22edo|22]], [[48edo|48]], [[70edo|70]], [[188edo|188]]
Badness: 0.0321

==Fleetwood==
Commas: 50/49, 55/54, 176/175

POTE generator: ~6/5 = 327.038

Map: [<2 1 3 4 2|, <0 4 3 3 9|]
EDOs: 22, 26e
Badness: 0.0352

===13-limit===
Commas: 50/49, 55/54, 65/63, 176/175

POTE generator: ~6/5 = 327.841

Map: [<2 1 3 4 2 3|, <0 4 3 3 9 8|]
EDOs: 22, 84bdf
Badness: 0.0318

=Lemba=
Commas: 50/49, 525/512

[[POTE tuning|POTE generator]]: ~8/7 = 232.089

Map: [<2 2 5 6|, <0 3 -1 -1|]
EDOs: [[10edo|10]], [[16edo|16]], [[26edo|26]], [[62edo|62]]
Badness: 0.0622

==11-limit==
Commas: 45/44, 50/49, 385/384

POTE generator: ~8/7 = 230.974

Map: [<2 2 5 6 5|, <0 3 -1 -1 5|]
EDOs: 10, 16, 26
Badness: 0.0416

==13-limit==
Commas: 45/44, 50/49, 65/64, 78/77

POTE generator: ~8/7 = 230.966

Map: [<2 2 5 6 5 7|, <0 3 -1 -1 5 1|]
EDOs: 10, 16, 26
Badness: 0.0255

=Vigintiduo=
Commas: 50/49, 64/63, 245/243

POTE generator: ~11/8 = 557.563

Map: [<22 35 51 62 0|, <0 0 0 0 1|]
EDOs: 22, 66de, 88bde, 110bd, 198bcdde
Badness: 0.0484

=Duodecim=
Commas: 36/35, 50/49, 64/63

POTE generator: ~11/8 = 565.023

Map: [<12 19 28 34 0|, <0 0 0 0 1|]
EDOs: 12, 24d, 36d
Badness: 30.536

=Crepuscular=
Commas: 50/49, 4375/4374

POTE generator: ~27/25 = 140.349

Map: [<2 2 3 4|, <0 5 7 7|]
Wedgie: <<10 14 14 -1 -6 -7||
EDOs: 26, 34d, 60d, 94d
Badness: 0.0867

==11-limit==
Commas: 50/49, 99/98, 1944/1925

POTE generator: ~12/11 = 140.587

Map: [<2 2 3 4 6|, <0 5 7 7 4|]
EDOs: 26, 34d, 60d, 94de
Badness: 0.0408

==13-limit==
Commas: 50/49, 78/77, 99/98, 144/143

POTE generator: ~12/11 = 140.554

Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|]
EDOs: 26, 34d, 60d, 94de
Badness: 0.0244

=Bipyth=
Commas: 50/49, 20480/19683

POTE generator: ~3/2 = 709.437

Map: [<2 0 -24 -23|, <0 1 9 9|]
Wedgie: <<2 18 18 24 23 -9||
Badness: 0.1650

==11-limit==
Commas: 50/49, 121/120, 896/891

POTE generator: ~3/2 = 709.310

Map: [<2 0 -24 -23 -9|, <0 1 9 9 5|]
EDOs: 22
Badness: 0.0709

Original HTML content:

<html><head><title>Jubilismic clan</title></head><body><!-- ws:start:WikiTextTocRule:34:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 1em;"><a href="#Diminished">Diminished</a></div>
<!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 2em;"><a href="#Diminished-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><div style="margin-left: 2em;"><a href="#Diminished-Demolished">Demolished</a></div>
<!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><div style="margin-left: 1em;"><a href="#Doublewide">Doublewide</a></div>
<!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><div style="margin-left: 2em;"><a href="#Doublewide-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><div style="margin-left: 2em;"><a href="#Doublewide-Fleetwood">Fleetwood</a></div>
<!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><div style="margin-left: 3em;"><a href="#Doublewide-Fleetwood-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 1em;"><a href="#Lemba">Lemba</a></div>
<!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><div style="margin-left: 2em;"><a href="#Lemba-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><div style="margin-left: 2em;"><a href="#Lemba-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 1em;"><a href="#Vigintiduo">Vigintiduo</a></div>
<!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><div style="margin-left: 1em;"><a href="#Duodecim">Duodecim</a></div>
<!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 1em;"><a href="#Crepuscular">Crepuscular</a></div>
<!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><div style="margin-left: 2em;"><a href="#Crepuscular-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 2em;"><a href="#Crepuscular-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 1em;"><a href="#Bipyth">Bipyth</a></div>
<!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 2em;"><a href="#Bipyth-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --></div>
<!-- ws:end:WikiTextTocRule:52 --><br />
This tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are identified and the octave is divided in two. Doublewide lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.<br />
<br />
No-threes <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 380.840<br />
<br />
No-threes map: [&lt;2 0 1 1|, &lt;0 0 1 1|]<br />
EDOs: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/104edo">104</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Diminished"></a><!-- ws:end:WikiTextHeadingRule:0 -->Diminished</h1>
Commas: 36/35, 50/49<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 699.523<br />
<br />
Map: [&lt;4 0 3 5|, &lt;0 1 1 1|]<br />
EDOs: <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/12edo">12</a><br />
Badness: 0.0224<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Diminished-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
Commas: 36/35, 50/49, 56/55<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 709.109<br />
<br />
Map: [&lt;4 0 3 5 14|, &lt;0 1 1 1 0|]<br />
EDOs: <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/44edo">44</a><br />
Badness: 0.0221<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Diminished-Demolished"></a><!-- ws:end:WikiTextHeadingRule:4 -->Demolished</h2>
Commas: 36/35, 45/44, 50/49<br />
<br />
POTE generator: ~3/2 = 689.881<br />
<br />
Map: [&lt;4 0 3 5 -5|, &lt;0 1 1 1 3|]<br />
EDOs: 12, 28, 40de<br />
Badness: 0.0266<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Doublewide"></a><!-- ws:end:WikiTextHeadingRule:6 -->Doublewide</h1>
Commas: 50/49, 875/864<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.719<br />
<br />
Map: [&lt;2 1 3 4|, &lt;0 4 3 3|]<br />
EDOs: <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/26edo">26edo</a>, <a class="wiki_link" href="/48edo">48</a>, <a class="wiki_link" href="/70edo">70</a><br />
Badness: 0.0435<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Doublewide-11-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->11-limit</h2>
Commas: 50/49, 99/98, 875/864<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.548<br />
<br />
Map: [&lt;2 1 3 4 8|, &lt;0 4 3 3 -2|]<br />
EDOs: <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/48edo">48</a>, <a class="wiki_link" href="/70edo">70</a>, <a class="wiki_link" href="/188edo">188</a><br />
Badness: 0.0321<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Doublewide-Fleetwood"></a><!-- ws:end:WikiTextHeadingRule:10 -->Fleetwood</h2>
Commas: 50/49, 55/54, 176/175<br />
<br />
POTE generator: ~6/5 = 327.038<br />
<br />
Map: [&lt;2 1 3 4 2|, &lt;0 4 3 3 9|]<br />
EDOs: 22, 26e<br />
Badness: 0.0352<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="Doublewide-Fleetwood-13-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit</h3>
Commas: 50/49, 55/54, 65/63, 176/175<br />
<br />
POTE generator: ~6/5 = 327.841<br />
<br />
Map: [&lt;2 1 3 4 2 3|, &lt;0 4 3 3 9 8|]<br />
EDOs: 22, 84bdf<br />
Badness: 0.0318<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:14 -->Lemba</h1>
Commas: 50/49, 525/512<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~8/7 = 232.089<br />
<br />
Map: [&lt;2 2 5 6|, &lt;0 3 -1 -1|]<br />
EDOs: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/26edo">26</a>, <a class="wiki_link" href="/62edo">62</a><br />
Badness: 0.0622<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Lemba-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2>
Commas: 45/44, 50/49, 385/384<br />
<br />
POTE generator: ~8/7 = 230.974<br />
<br />
Map: [&lt;2 2 5 6 5|, &lt;0 3 -1 -1 5|]<br />
EDOs: 10, 16, 26<br />
Badness: 0.0416<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Lemba-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h2>
Commas: 45/44, 50/49, 65/64, 78/77<br />
<br />
POTE generator: ~8/7 = 230.966<br />
<br />
Map: [&lt;2 2 5 6 5 7|, &lt;0 3 -1 -1 5 1|]<br />
EDOs: 10, 16, 26<br />
Badness: 0.0255<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Vigintiduo"></a><!-- ws:end:WikiTextHeadingRule:20 -->Vigintiduo</h1>
Commas: 50/49, 64/63, 245/243<br />
<br />
POTE generator: ~11/8 = 557.563<br />
<br />
Map: [&lt;22 35 51 62 0|, &lt;0 0 0 0 1|]<br />
EDOs: 22, 66de, 88bde, 110bd, 198bcdde<br />
Badness: 0.0484<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Duodecim"></a><!-- ws:end:WikiTextHeadingRule:22 -->Duodecim</h1>
Commas: 36/35, 50/49, 64/63<br />
<br />
POTE generator: ~11/8 = 565.023<br />
<br />
Map: [&lt;12 19 28 34 0|, &lt;0 0 0 0 1|]<br />
EDOs: 12, 24d, 36d<br />
Badness: 30.536<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Crepuscular"></a><!-- ws:end:WikiTextHeadingRule:24 -->Crepuscular</h1>
Commas: 50/49, 4375/4374<br />
<br />
POTE generator: ~27/25 = 140.349<br />
<br />
Map: [&lt;2 2 3 4|, &lt;0 5 7 7|]<br />
Wedgie: &lt;&lt;10 14 14 -1 -6 -7||<br />
EDOs: 26, 34d, 60d, 94d<br />
Badness: 0.0867<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Crepuscular-11-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->11-limit</h2>
Commas: 50/49, 99/98, 1944/1925<br />
<br />
POTE generator: ~12/11 = 140.587<br />
<br />
Map: [&lt;2 2 3 4 6|, &lt;0 5 7 7 4|]<br />
EDOs: 26, 34d, 60d, 94de<br />
Badness: 0.0408<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Crepuscular-13-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->13-limit</h2>
Commas: 50/49, 78/77, 99/98, 144/143<br />
<br />
POTE generator: ~12/11 = 140.554<br />
<br />
Map: [&lt;2 2 3 4 6 6|, &lt;0 5 7 7 4 6|]<br />
EDOs: 26, 34d, 60d, 94de<br />
Badness: 0.0244<br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Bipyth"></a><!-- ws:end:WikiTextHeadingRule:30 -->Bipyth</h1>
Commas: 50/49, 20480/19683<br />
<br />
POTE generator: ~3/2 = 709.437<br />
<br />
Map: [&lt;2 0 -24 -23|, &lt;0 1 9 9|]<br />
Wedgie: &lt;&lt;2 18 18 24 23 -9||<br />
Badness: 0.1650<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Bipyth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2>
Commas: 50/49, 121/120, 896/891<br />
<br />
POTE generator: ~3/2 = 709.310<br />
<br />
Map: [&lt;2 0 -24 -23 -9|, &lt;0 1 9 9 5|]<br />
EDOs: 22<br />
Badness: 0.0709</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2012-03-21 18:23:01 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-04-23 18:17:45 UTC</tt>.<br>
-: The original revision id was <tt>313358964</tt>.<br>
+: The original revision id was <tt>324368338</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>
@@ Line 68: / Line 68: @@
 EDOs: 22, 26e
 Badness: 0.0352
+===13-limit===
+Commas: 50/49, 55/54, 65/63, 176/175
+POTE generator: ~6/5 = 327.841
+Map: [&lt;2 1 3 4 2 3|, &lt;0 4 3 3 9 8|]
+EDOs: 22, 84bdf
+Badness: 0.0318
 =Lemba=
@@ Line 160: / Line 169: @@
 Badness: 0.0709</pre></div>
 <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;Jubilismic clan&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:32:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Diminished"&gt;Diminished&lt;/a&gt;&lt;/div&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;Jubilismic clan&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:34:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Diminished"&gt;Diminished&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Diminished-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Diminished-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Diminished-Demolished"&gt;Demolished&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Diminished-Demolished"&gt;Demolished&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Doublewide"&gt;Doublewide&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Doublewide"&gt;Doublewide&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Doublewide-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Doublewide-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Doublewide-Fleetwood"&gt;Fleetwood&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Doublewide-Fleetwood"&gt;Fleetwood&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Lemba"&gt;Lemba&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Doublewide-Fleetwood-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Lemba-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Lemba"&gt;Lemba&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Lemba-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Lemba-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Vigintiduo"&gt;Vigintiduo&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Lemba-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Duodecim"&gt;Duodecim&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Vigintiduo"&gt;Vigintiduo&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Crepuscular"&gt;Crepuscular&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Duodecim"&gt;Duodecim&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Crepuscular-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Crepuscular"&gt;Crepuscular&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Crepuscular-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Crepuscular-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Bipyth"&gt;Bipyth&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Crepuscular-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Bipyth-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Bipyth"&gt;Bipyth&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Bipyth-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;br /&gt;
 This tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are identified and the octave is divided in two. Doublewide lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.&lt;br /&gt;
 &lt;br /&gt;
@@ Line 239: / Line 249: @@
 Badness: 0.0352&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="Lemba"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Lemba&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="Doublewide-Fleetwood-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;13-limit&lt;/h3&gt;
+Commas: 50/49, 55/54, 65/63, 176/175&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~6/5 = 327.841&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;2 1 3 4 2 3|, &amp;lt;0 4 3 3 9 8|]&lt;br /&gt;
+EDOs: 22, 84bdf&lt;br /&gt;
+Badness: 0.0318&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="Lemba"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Lemba&lt;/h1&gt;
 Commas: 50/49, 525/512&lt;br /&gt;
 &lt;br /&gt;
@@ Line 248: / Line 267: @@
 Badness: 0.0622&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Lemba-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;11-limit&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Lemba-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;11-limit&lt;/h2&gt;
 Commas: 45/44, 50/49, 385/384&lt;br /&gt;
 &lt;br /&gt;
@@ Line 257: / Line 276: @@
 Badness: 0.0416&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Lemba-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;13-limit&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Lemba-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;13-limit&lt;/h2&gt;
 Commas: 45/44, 50/49, 65/64, 78/77&lt;br /&gt;
 &lt;br /&gt;
@@ Line 266: / Line 285: @@
 Badness: 0.0255&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="Vigintiduo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Vigintiduo&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Vigintiduo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Vigintiduo&lt;/h1&gt;
 Commas: 50/49, 64/63, 245/243&lt;br /&gt;
 &lt;br /&gt;
@@ Line 275: / Line 294: @@
 Badness: 0.0484&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="Duodecim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Duodecim&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Duodecim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Duodecim&lt;/h1&gt;
 Commas: 36/35, 50/49, 64/63&lt;br /&gt;
 &lt;br /&gt;
@@ Line 284: / Line 303: @@
 Badness: 30.536&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Crepuscular"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Crepuscular&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Crepuscular"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Crepuscular&lt;/h1&gt;
 Commas: 50/49, 4375/4374&lt;br /&gt;
 &lt;br /&gt;
@@ Line 294: / Line 313: @@
 Badness: 0.0867&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Crepuscular-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;11-limit&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Crepuscular-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;11-limit&lt;/h2&gt;
 Commas: 50/49, 99/98, 1944/1925&lt;br /&gt;
 &lt;br /&gt;
@@ Line 303: / Line 322: @@
 Badness: 0.0408&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Crepuscular-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;13-limit&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="Crepuscular-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;13-limit&lt;/h2&gt;
 Commas: 50/49, 78/77, 99/98, 144/143&lt;br /&gt;
 &lt;br /&gt;
@@ Line 312: / Line 331: @@
 Badness: 0.0244&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Bipyth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Bipyth&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Bipyth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Bipyth&lt;/h1&gt;
 Commas: 50/49, 20480/19683&lt;br /&gt;
 &lt;br /&gt;
@@ Line 321: / Line 340: @@
 Badness: 0.1650&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="Bipyth-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;11-limit&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="Bipyth-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;11-limit&lt;/h2&gt;
 Commas: 50/49, 121/120, 896/891&lt;br /&gt;
 &lt;br /&gt;

Jubilismic clan: Difference between revisions

Revision as of 18:17, 23 April 2012

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search