Jubilismic clan: Difference between revisions
Wikispaces>genewardsmith **Imported revision 327517040 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 336789070 - 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- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-17 16:40:35 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>336789070</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> | ||
Line 32: | Line 32: | ||
EDOs: [[4edo|4]], [[8edo|8]], [[12edo|12]], [[44edo|44]] | EDOs: [[4edo|4]], [[8edo|8]], [[12edo|12]], [[44edo|44]] | ||
Badness: 0.0221 | Badness: 0.0221 | ||
==13-limit== | |||
Commas: 36/35, 40/39, 50/49, 66/65 | |||
POTE generator: ~3/2 = 713.773 | |||
Map: [<4 0 3 5 14 15|, <0 1 1 1 0 0|] | |||
EDOs: 4, 8d, 12f, 20cdef | |||
Badness: 0.0195 | |||
==Demolished== | ==Demolished== | ||
Line 224: | Line 233: | ||
Badness: 0.0440</pre></div> | Badness: 0.0440</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>Jubilismic clan</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>Jubilismic clan</title></head><body><!-- ws:start:WikiTextTocRule:48:&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:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 1em;"><a href="#Diminished">Diminished</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 2em;"><a href="#Diminished-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 2em;"><a href="#Diminished-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><div style="margin-left: 2em;"><a href="#Diminished-Demolished">Demolished</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 1em;"><a href="#Doublewide">Doublewide</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 2em;"><a href="#Doublewide-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><div style="margin-left: 2em;"><a href="#Doublewide-Fleetwood">Fleetwood</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><div style="margin-left: 3em;"><a href="#Doublewide-Fleetwood-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 2em;"><a href="#Doublewide-Cavalier">Cavalier</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><div style="margin-left: 3em;"><a href="#Doublewide-Cavalier-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><div style="margin-left: 1em;"><a href="#Lemba">Lemba</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><div style="margin-left: 2em;"><a href="#Lemba-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 2em;"><a href="#Lemba-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 1em;"><a href="#Vigintiduo">Vigintiduo</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 1em;"><a href="#Duodecim">Duodecim</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><div style="margin-left: 1em;"><a href="#Crepuscular">Crepuscular</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><div style="margin-left: 2em;"><a href="#Crepuscular-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><div style="margin-left: 2em;"><a href="#Crepuscular-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><div style="margin-left: 1em;"><a href="#Bipyth">Bipyth</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><div style="margin-left: 2em;"><a href="#Bipyth-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><div style="margin-left: 1em;"><a href="#Elvis">Elvis</a></div> | ||
<!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><div style="margin-left: 2em;"><a href="#Elvis-7-limit">7-limit</a></div> | |||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><div style="margin-left: 2em;"><a href="#Elvis-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><div style="margin-left: 2em;"><a href="#Elvis-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --></div> | ||
<!-- ws:end:WikiTextTocRule:73 --><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 /> | 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 /> | <br /> | ||
Line 274: | Line 284: | ||
Badness: 0.0221<br /> | Badness: 0.0221<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Diminished-Demolished"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Diminished-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> | ||
Commas: 36/35, 40/39, 50/49, 66/65<br /> | |||
<br /> | |||
POTE generator: ~3/2 = 713.773<br /> | |||
<br /> | |||
Map: [&lt;4 0 3 5 14 15|, &lt;0 1 1 1 0 0|]<br /> | |||
EDOs: 4, 8d, 12f, 20cdef<br /> | |||
Badness: 0.0195<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Diminished-Demolished"></a><!-- ws:end:WikiTextHeadingRule:6 -->Demolished</h2> | |||
Commas: 36/35, 45/44, 50/49<br /> | Commas: 36/35, 45/44, 50/49<br /> | ||
<br /> | <br /> | ||
Line 283: | Line 302: | ||
Badness: 0.0266<br /> | Badness: 0.0266<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Doublewide"></a><!-- ws:end:WikiTextHeadingRule:8 -->Doublewide</h1> | ||
Commas: 50/49, 875/864<br /> | Commas: 50/49, 875/864<br /> | ||
<br /> | <br /> | ||
Line 292: | Line 311: | ||
Badness: 0.0435<br /> | Badness: 0.0435<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Doublewide-11-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->11-limit</h2> | ||
Commas: 50/49, 99/98, 875/864<br /> | Commas: 50/49, 99/98, 875/864<br /> | ||
<br /> | <br /> | ||
Line 301: | Line 320: | ||
Badness: 0.0321<br /> | Badness: 0.0321<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Doublewide-Fleetwood"></a><!-- ws:end:WikiTextHeadingRule:12 -->Fleetwood</h2> | ||
Commas: 50/49, 55/54, 176/175<br /> | Commas: 50/49, 55/54, 176/175<br /> | ||
<br /> | <br /> | ||
Line 310: | Line 329: | ||
Badness: 0.0352<br /> | Badness: 0.0352<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Doublewide-Fleetwood-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h3> | ||
Commas: 50/49, 55/54, 65/63, 176/175<br /> | Commas: 50/49, 55/54, 65/63, 176/175<br /> | ||
<br /> | <br /> | ||
Line 319: | Line 338: | ||
Badness: 0.0318<br /> | Badness: 0.0318<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Doublewide-Cavalier"></a><!-- ws:end:WikiTextHeadingRule:16 -->Cavalier</h2> | ||
Commas: 45/44, 50/49, 875/864<br /> | Commas: 45/44, 50/49, 875/864<br /> | ||
<br /> | <br /> | ||
Line 328: | Line 347: | ||
Badness: 0.0529<br /> | Badness: 0.0529<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="Doublewide-Cavalier-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h3> | ||
Commas: 45/44 50/49 78/77 325/324<br /> | Commas: 45/44 50/49 78/77 325/324<br /> | ||
<br /> | <br /> | ||
Line 337: | Line 356: | ||
Badness: 0.0350<br /> | Badness: 0.0350<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:20 -->Lemba</h1> | ||
Commas: 50/49, 525/512<br /> | Commas: 50/49, 525/512<br /> | ||
<br /> | <br /> | ||
Line 346: | Line 365: | ||
Badness: 0.0622<br /> | Badness: 0.0622<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Lemba-11-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->11-limit</h2> | ||
Commas: 45/44, 50/49, 385/384<br /> | Commas: 45/44, 50/49, 385/384<br /> | ||
<br /> | <br /> | ||
Line 355: | Line 374: | ||
Badness: 0.0416<br /> | Badness: 0.0416<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Lemba-13-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->13-limit</h2> | ||
Commas: 45/44, 50/49, 65/64, 78/77<br /> | Commas: 45/44, 50/49, 65/64, 78/77<br /> | ||
<br /> | <br /> | ||
Line 364: | Line 383: | ||
Badness: 0.0255<br /> | Badness: 0.0255<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Vigintiduo"></a><!-- ws:end:WikiTextHeadingRule:26 -->Vigintiduo</h1> | ||
Commas: 50/49, 64/63, 245/243<br /> | Commas: 50/49, 64/63, 245/243<br /> | ||
<br /> | <br /> | ||
Line 373: | Line 392: | ||
Badness: 0.0484<br /> | Badness: 0.0484<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Duodecim"></a><!-- ws:end:WikiTextHeadingRule:28 -->Duodecim</h1> | ||
Commas: 36/35, 50/49, 64/63<br /> | Commas: 36/35, 50/49, 64/63<br /> | ||
<br /> | <br /> | ||
Line 382: | Line 401: | ||
Badness: 30.536<br /> | Badness: 30.536<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Crepuscular"></a><!-- ws:end:WikiTextHeadingRule:30 -->Crepuscular</h1> | ||
Commas: 50/49, 4375/4374<br /> | Commas: 50/49, 4375/4374<br /> | ||
<br /> | <br /> | ||
Line 392: | Line 411: | ||
Badness: 0.0867<br /> | Badness: 0.0867<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Crepuscular-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2> | ||
Commas: 50/49, 99/98, 1944/1925<br /> | Commas: 50/49, 99/98, 1944/1925<br /> | ||
<br /> | <br /> | ||
Line 401: | Line 420: | ||
Badness: 0.0408<br /> | Badness: 0.0408<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Crepuscular-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2> | ||
Commas: 50/49, 78/77, 99/98, 144/143<br /> | Commas: 50/49, 78/77, 99/98, 144/143<br /> | ||
<br /> | <br /> | ||
Line 410: | Line 429: | ||
Badness: 0.0244<br /> | Badness: 0.0244<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Bipyth"></a><!-- ws:end:WikiTextHeadingRule:36 -->Bipyth</h1> | ||
Commas: 50/49, 20480/19683<br /> | Commas: 50/49, 20480/19683<br /> | ||
<br /> | <br /> | ||
Line 419: | Line 438: | ||
Badness: 0.1650<br /> | Badness: 0.1650<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Bipyth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2> | ||
Commas: 50/49, 121/120, 896/891<br /> | Commas: 50/49, 121/120, 896/891<br /> | ||
<br /> | <br /> | ||
Line 428: | Line 447: | ||
Badness: 0.0709<br /> | Badness: 0.0709<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Elvis"></a><!-- ws:end:WikiTextHeadingRule:40 -->Elvis</h1> | ||
Comma: 33554432/36905625<br /> | Comma: 33554432/36905625<br /> | ||
<br /> | <br /> | ||
Line 437: | Line 456: | ||
Badness: 0.8840<br /> | Badness: 0.8840<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Elvis-7-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->7-limit</h2> | ||
Commas: 50/49, 8505/8192<br /> | Commas: 50/49, 8505/8192<br /> | ||
<br /> | <br /> | ||
Line 447: | Line 466: | ||
Badness: 0.1415<br /> | Badness: 0.1415<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Elvis-11-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->11-limit</h2> | ||
Commas: 45/44, 50/49, 1344/1331<br /> | Commas: 45/44, 50/49, 1344/1331<br /> | ||
<br /> | <br /> | ||
Line 456: | Line 475: | ||
Badness: 0.0632<br /> | Badness: 0.0632<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Elvis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->13-limit</h2> | ||
Commas: 45/44, 50/49, 78/77, 1053/1024<br /> | Commas: 45/44, 50/49, 78/77, 1053/1024<br /> | ||
<br /> | <br /> |