Jubilismic clan: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
The '''Jubilismic clan''' tempers out the jubilisma, [[50/49|50/49]], which means [[7/5|7/5]] and [[10/7|10/7]] are identified and the [[Octave|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.
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2017-11-23 15:49:43 UTC</tt>.<br>
: The original revision id was <tt>622276611</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>
<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">[[toc]]
The **Jubilismic clan** tempers out the jubilisma, [[50_49|50/49]], which means [[7_5|7/5]] and [[10_7|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 [[POTE_tuning|POTE generator]]: 380.840


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


=Diminished=  
=Diminished=
&lt;span style="display: block; text-align: right;"&gt;[[xenharmonie/Verminderte Temperaturen|Deutsch]]
<span style="display: block; text-align: right;">[[:de:Verminderte_Temperaturen Deutsch]]</span>
&lt;/span&gt;
 
Commas: 36/35, 50/49
Commas: 36/35, 50/49


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


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


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


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


Map: [&lt;4 0 3 5 14|, &lt;0 1 1 1 0|]
Map: [&lt;4 0 3 5 14|, &lt;0 1 1 1 0|]
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==  
==13-limit==
Commas: 36/35, 40/39, 50/49, 66/65
Commas: 36/35, 40/39, 50/49, 66/65


Line 40: Line 38:


Map: [&lt;4 0 3 5 14 15|, &lt;0 1 1 1 0 0|]
Map: [&lt;4 0 3 5 14 15|, &lt;0 1 1 1 0 0|]
EDOs: 4, 8d, 12f, 20cdef
EDOs: 4, 8d, 12f, 20cdef
Badness: 0.0195
Badness: 0.0195


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


Line 49: Line 49:


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


==Hemidim==  
==Hemidim==
Commas: 36/35, 50/49, 125/121
Commas: 36/35, 50/49, 125/121


Line 58: Line 60:


Map: [&lt;4 1 4 6 6|, &lt;0 2 2 2 3|]
Map: [&lt;4 1 4 6 6|, &lt;0 2 2 2 3|]
EDOs: 12, 20b
EDOs: 12, 20b
Badness: 0.0550
Badness: 0.0550


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


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


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


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


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


Map: [&lt;2 1 3 4 8|, &lt;0 4 3 3 -2|]
Map: [&lt;2 1 3 4 8|, &lt;0 4 3 3 -2|]
EDOs: [[18edo|18]], [[22edo|22]], [[48edo|48]], [[70edo|70c]], [[118edo|118cd]]
EDOs: [[18edo|18]], [[22edo|22]], [[48edo|48]], [[70edo|70c]], [[118edo|118cd]]
Badness: 0.0321
Badness: 0.0321


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


Line 85: Line 93:


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


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


Line 94: Line 104:


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


==Cavalier==  
==Cavalier==
Commas: 45/44, 50/49, 875/864
Commas: 45/44, 50/49, 875/864


Line 103: Line 115:


Map: [&lt;2 1 3 4 1|, &lt;0 4 3 3 11|]
Map: [&lt;2 1 3 4 1|, &lt;0 4 3 3 11|]
EDOs: 26
EDOs: 26
Badness: 0.0529
Badness: 0.0529


===13-limit===  
===13-limit===
Commas: 45/44, 50/49, 78/77, 325/324
Commas: 45/44, 50/49, 78/77, 325/324


Line 112: Line 126:


Map: [&lt;2 1 3 4 1 2|, &lt;0 4 3 3 11 10|]
Map: [&lt;2 1 3 4 1 2|, &lt;0 4 3 3 11 10|]
EDOs: 26
EDOs: 26
Badness: 0.0350
Badness: 0.0350


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


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


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


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


Line 130: Line 148:


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


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


Line 139: Line 159:


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


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


Line 148: Line 170:


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


=Vigin=  
=Vigin=
Commas: 50/49, 55/54, 64/63, 99/98
Commas: 50/49, 55/54, 64/63, 99/98


Line 157: Line 181:


Map: [&lt;22 35 51 62 76 0|, &lt;0 0 0 0 0 1|]
Map: [&lt;22 35 51 62 76 0|, &lt;0 0 0 0 0 1|]
EDOs: 22, 44
EDOs: 22, 44
Badness: 0.0298
Badness: 0.0298


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


Line 166: Line 192:


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


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


Line 175: Line 203:


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


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


Line 185: Line 216:


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


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


Line 194: Line 227:


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


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


Line 203: Line 238:


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


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


Line 212: Line 249:


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


=Elvis=  
=Elvis=
Comma: |25 -10 -4&gt;
Comma: |25 -10 -4&gt;


Line 221: Line 260:


Map: [&lt;2 1 10|, &lt;0 2 -5|]
Map: [&lt;2 1 10|, &lt;0 2 -5|]
EDOs: 24c, 26, 80bc, 106bc, 132bc
EDOs: 24c, 26, 80bc, 106bc, 132bc
Badness: 0.8840
Badness: 0.8840


==7-limit==  
==7-limit==
Commas: 50/49, 8505/8192
Commas: 50/49, 8505/8192


Line 230: Line 271:


Map: [&lt;2 1 10 11|, &lt;0 2 -5 -5|]
Map: [&lt;2 1 10 11|, &lt;0 2 -5 -5|]
Wedgie: &lt;&lt;4 -10 -10 -25 -27 5||
Wedgie: &lt;&lt;4 -10 -10 -25 -27 5||
EDOs: 24c, 26
EDOs: 24c, 26
Badness: 0.1415
Badness: 0.1415


==11-limit==  
==11-limit==
Commas: 45/44, 50/49, 1344/1331
Commas: 45/44, 50/49, 1344/1331


Line 240: Line 284:


Map: [&lt;2 1 10 11 8|, &lt;0 2 -5 -5 -1|]
Map: [&lt;2 1 10 11 8|, &lt;0 2 -5 -5 -1|]
EDOs: 24c, 26
EDOs: 24c, 26
Badness: 0.0632
Badness: 0.0632


==13-limit==  
==13-limit==
Commas: 45/44, 50/49, 78/77, 1053/1024
Commas: 45/44, 50/49, 78/77, 1053/1024


Line 249: Line 295:


Map: [&lt;2 1 10 11 8 16|, &lt;0 2 -5 -5 -1 -8|]
Map: [&lt;2 1 10 11 8 16|, &lt;0 2 -5 -5 -1 -8|]
EDOs: 26
EDOs: 26
Badness: 0.0440</pre></div>
 
<h4>Original HTML content:</h4>
Badness: 0.0440
<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:52:&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:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Diminished"&gt;Diminished&lt;/a&gt;&lt;/div&gt;
[[Category:clan]]
&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Diminished-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
[[Category:family]]
&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Diminished-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
[[Category:jubilismic]]
&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Diminished-Demolished"&gt;Demolished&lt;/a&gt;&lt;/div&gt;
[[Category:theory]]
&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Diminished-Hemidim"&gt;Hemidim&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Doublewide"&gt;Doublewide&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&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:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&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:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&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:61 --&gt;&lt;!-- ws:start:WikiTextTocRule:62: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Doublewide-Cavalier"&gt;Cavalier&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:62 --&gt;&lt;!-- ws:start:WikiTextTocRule:63: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Doublewide-Cavalier-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:63 --&gt;&lt;!-- ws:start:WikiTextTocRule:64: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Lemba"&gt;Lemba&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:64 --&gt;&lt;!-- ws:start:WikiTextTocRule:65: --&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:65 --&gt;&lt;!-- ws:start:WikiTextTocRule:66: --&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:66 --&gt;&lt;!-- ws:start:WikiTextTocRule:67: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Vigintiduo"&gt;Vigintiduo&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:67 --&gt;&lt;!-- ws:start:WikiTextTocRule:68: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Vigin"&gt;Vigin&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:68 --&gt;&lt;!-- ws:start:WikiTextTocRule:69: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Duodecim"&gt;Duodecim&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:69 --&gt;&lt;!-- ws:start:WikiTextTocRule:70: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Crepuscular"&gt;Crepuscular&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:70 --&gt;&lt;!-- ws:start:WikiTextTocRule:71: --&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:71 --&gt;&lt;!-- ws:start:WikiTextTocRule:72: --&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:72 --&gt;&lt;!-- ws:start:WikiTextTocRule:73: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Bipyth"&gt;Bipyth&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:73 --&gt;&lt;!-- ws:start:WikiTextTocRule:74: --&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:74 --&gt;&lt;!-- ws:start:WikiTextTocRule:75: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Elvis"&gt;Elvis&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:75 --&gt;&lt;!-- ws:start:WikiTextTocRule:76: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Elvis-7-limit"&gt;7-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:76 --&gt;&lt;!-- ws:start:WikiTextTocRule:77: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Elvis-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:77 --&gt;&lt;!-- ws:start:WikiTextTocRule:78: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Elvis-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:79 --&gt;The &lt;strong&gt;Jubilismic clan&lt;/strong&gt; tempers out the jubilisma, &lt;a class="wiki_link" href="/50_49"&gt;50/49&lt;/a&gt;, which means &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt; and &lt;a class="wiki_link" href="/10_7"&gt;10/7&lt;/a&gt; are identified and the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; 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;
No-threes &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 380.840&lt;br /&gt;
&lt;br /&gt;
No-threes map: [&amp;lt;2 0 1 1|, &amp;lt;0 0 1 1|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/10edo"&gt;10&lt;/a&gt;, &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/16edo"&gt;16&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/104edo"&gt;104&lt;/a&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="Diminished"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Diminished&lt;/h1&gt;
&lt;span style="display: block; text-align: right;"&gt;&lt;a class="wiki_link" href="http://xenharmonie.wikispaces.com/Verminderte%20Temperaturen"&gt;Deutsch&lt;/a&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
Commas: 36/35, 50/49&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 699.523&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;4 0 3 5|, &amp;lt;0 1 1 1|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/4edo"&gt;4&lt;/a&gt;, &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;&lt;br /&gt;
Badness: 0.0224&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Diminished-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
Commas: 36/35, 50/49, 56/55&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 709.109&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;4 0 3 5 14|, &amp;lt;0 1 1 1 0|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/4edo"&gt;4&lt;/a&gt;, &lt;a class="wiki_link" href="/8edo"&gt;8&lt;/a&gt;, &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/44edo"&gt;44&lt;/a&gt;&lt;br /&gt;
Badness: 0.0221&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Diminished-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
Commas: 36/35, 40/39, 50/49, 66/65&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 713.773&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;4 0 3 5 14 15|, &amp;lt;0 1 1 1 0 0|]&lt;br /&gt;
EDOs: 4, 8d, 12f, 20cdef&lt;br /&gt;
Badness: 0.0195&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Diminished-Demolished"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Demolished&lt;/h2&gt;
Commas: 36/35, 45/44, 50/49&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 689.881&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;4 0 3 5 -5|, &amp;lt;0 1 1 1 3|]&lt;br /&gt;
EDOs: 12, 28, 40de&lt;br /&gt;
Badness: 0.0266&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Diminished-Hemidim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Hemidim&lt;/h2&gt;
Commas: 36/35, 50/49, 125/121&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 101.679&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;4 1 4 6 6|, &amp;lt;0 2 2 2 3|]&lt;br /&gt;
EDOs: 12, 20b&lt;br /&gt;
Badness: 0.0550&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Doublewide"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Doublewide&lt;/h1&gt;
Commas: 50/49, 875/864&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~6/5 = 325.719&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 3 4|, &amp;lt;0 4 3 3|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/18edo"&gt;18&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/26edo"&gt;26edo&lt;/a&gt;, &lt;a class="wiki_link" href="/48edo"&gt;48&lt;/a&gt;, &lt;a class="wiki_link" href="/70edo"&gt;70c&lt;/a&gt;&lt;br /&gt;
Badness: 0.0435&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Doublewide-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;11-limit&lt;/h2&gt;
Commas: 50/49, 99/98, 875/864&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~6/5 = 325.548&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 3 4 8|, &amp;lt;0 4 3 3 -2|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/18edo"&gt;18&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/48edo"&gt;48&lt;/a&gt;, &lt;a class="wiki_link" href="/70edo"&gt;70c&lt;/a&gt;, &lt;a class="wiki_link" href="/118edo"&gt;118cd&lt;/a&gt;&lt;br /&gt;
Badness: 0.0321&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="Doublewide-Fleetwood"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Fleetwood&lt;/h2&gt;
Commas: 50/49, 55/54, 176/175&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 327.038&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 3 4 2|, &amp;lt;0 4 3 3 9|]&lt;br /&gt;
EDOs: 22, 26e&lt;br /&gt;
Badness: 0.0352&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="Doublewide-Fleetwood-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&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:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Doublewide-Cavalier"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Cavalier&lt;/h2&gt;
Commas: 45/44, 50/49, 875/864&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 323.427&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 3 4 1|, &amp;lt;0 4 3 3 11|]&lt;br /&gt;
EDOs: 26&lt;br /&gt;
Badness: 0.0529&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="Doublewide-Cavalier-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;13-limit&lt;/h3&gt;
Commas: 45/44, 50/49, 78/77, 325/324&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 323.396&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 3 4 1 2|, &amp;lt;0 4 3 3 11 10|]&lt;br /&gt;
EDOs: 26&lt;br /&gt;
Badness: 0.0350&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="Lemba"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Lemba&lt;/h1&gt;
Commas: 50/49, 525/512&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~8/7 = 232.089&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 2 5 6|, &amp;lt;0 3 -1 -1|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/10edo"&gt;10&lt;/a&gt;, &lt;a class="wiki_link" href="/16edo"&gt;16&lt;/a&gt;, &lt;a class="wiki_link" href="/26edo"&gt;26&lt;/a&gt;, &lt;a class="wiki_link" href="/62edo"&gt;62&lt;/a&gt;&lt;br /&gt;
Badness: 0.0622&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="Lemba-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;11-limit&lt;/h2&gt;
Commas: 45/44, 50/49, 385/384&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 230.974&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 2 5 6 5|, &amp;lt;0 3 -1 -1 5|]&lt;br /&gt;
EDOs: 10, 16, 26&lt;br /&gt;
Badness: 0.0416&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="Lemba-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;13-limit&lt;/h2&gt;
Commas: 45/44, 50/49, 65/64, 78/77&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 230.966&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 2 5 6 5 7|, &amp;lt;0 3 -1 -1 5 1|]&lt;br /&gt;
EDOs: 10, 16, 26&lt;br /&gt;
Badness: 0.0255&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="Vigintiduo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Vigintiduo&lt;/h1&gt;
Commas: 50/49, 64/63, 245/243&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 557.563&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;22 35 51 62 0|, &amp;lt;0 0 0 0 1|]&lt;br /&gt;
EDOs: 22, 66de, 88bde, 110bd, 198bcdde&lt;br /&gt;
Badness: 0.0484&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Vigin"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Vigin&lt;/h1&gt;
Commas: 50/49, 55/54, 64/63, 99/98&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/8 = 844.624&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;22 35 51 62 76 0|, &amp;lt;0 0 0 0 0 1|]&lt;br /&gt;
EDOs: 22, 44&lt;br /&gt;
Badness: 0.0298&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Duodecim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Duodecim&lt;/h1&gt;
Commas: 36/35, 50/49, 64/63&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 565.023&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;12 19 28 34 0|, &amp;lt;0 0 0 0 1|]&lt;br /&gt;
EDOs: 12, 24d, 36d&lt;br /&gt;
Badness: 30.536&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Crepuscular"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Crepuscular&lt;/h1&gt;
Commas: 50/49, 4375/4374&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~27/25 = 140.349&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 2 3 4|, &amp;lt;0 5 7 7|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;10 14 14 -1 -6 -7||&lt;br /&gt;
EDOs: 26, 34d, 60d, 94d&lt;br /&gt;
Badness: 0.0867&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Crepuscular-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;11-limit&lt;/h2&gt;
Commas: 50/49, 99/98, 1944/1925&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 140.587&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 2 3 4 6|, &amp;lt;0 5 7 7 4|]&lt;br /&gt;
EDOs: 26, 34d, 60d, 94de&lt;br /&gt;
Badness: 0.0408&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Crepuscular-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;13-limit&lt;/h2&gt;
Commas: 50/49, 78/77, 99/98, 144/143&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 140.554&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 2 3 4 6 6|, &amp;lt;0 5 7 7 4 6|]&lt;br /&gt;
EDOs: 26, 34d, 60d, 94de&lt;br /&gt;
Badness: 0.0244&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc20"&gt;&lt;a name="Bipyth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Bipyth&lt;/h1&gt;
Commas: 50/49, 20480/19683&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 709.437&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 -24 -23|, &amp;lt;0 1 9 9|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;2 18 18 24 23 -9||&lt;br /&gt;
Badness: 0.1650&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="Bipyth-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;11-limit&lt;/h2&gt;
Commas: 50/49, 121/120, 896/891&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 709.310&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 -24 -23 -9|, &amp;lt;0 1 9 9 5|]&lt;br /&gt;
EDOs: 22&lt;br /&gt;
Badness: 0.0709&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Elvis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Elvis&lt;/h1&gt;
Comma: |25 -10 -4&amp;gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~45/32 = 554.546&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 10|, &amp;lt;0 2 -5|]&lt;br /&gt;
EDOs: 24c, 26, 80bc, 106bc, 132bc&lt;br /&gt;
Badness: 0.8840&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc23"&gt;&lt;a name="Elvis-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;7-limit&lt;/h2&gt;
Commas: 50/49, 8505/8192&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~45/32 = 553.721&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 10 11|, &amp;lt;0 2 -5 -5|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;4 -10 -10 -25 -27 5||&lt;br /&gt;
EDOs: 24c, 26&lt;br /&gt;
Badness: 0.1415&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc24"&gt;&lt;a name="Elvis-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;11-limit&lt;/h2&gt;
Commas: 45/44, 50/49, 1344/1331&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 553.882&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 10 11 8|, &amp;lt;0 2 -5 -5 -1|]&lt;br /&gt;
EDOs: 24c, 26&lt;br /&gt;
Badness: 0.0632&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc25"&gt;&lt;a name="Elvis-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;13-limit&lt;/h2&gt;
Commas: 45/44, 50/49, 78/77, 1053/1024&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 553.892&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 10 11 8 16|, &amp;lt;0 2 -5 -5 -1 -8|]&lt;br /&gt;
EDOs: 26&lt;br /&gt;
Badness: 0.0440&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The Jubilismic clan 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 generator: 380.840

No-threes map: [<2 0 1 1|, <0 0 1 1|]

EDOs: 10, 12, 16, 22, 104

Diminished

de:Verminderte_Temperaturen Deutsch

Commas: 36/35, 50/49

POTE generator: ~3/2 = 699.523

Map: [<4 0 3 5|, <0 1 1 1|]

EDOs: 4, 12

Badness: 0.0224

11-limit

Commas: 36/35, 50/49, 56/55

POTE generator: ~3/2 = 709.109

Map: [<4 0 3 5 14|, <0 1 1 1 0|]

EDOs: 4, 8, 12, 44

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

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

Hemidim

Commas: 36/35, 50/49, 125/121

POTE generator: ~12/11 = 101.679

Map: [<4 1 4 6 6|, <0 2 2 2 3|]

EDOs: 12, 20b

Badness: 0.0550

Doublewide

Commas: 50/49, 875/864

POTE generator: ~6/5 = 325.719

Map: [<2 1 3 4|, <0 4 3 3|]

EDOs: 18, 22, 26edo, 48, 70c

Badness: 0.0435

11-limit

Commas: 50/49, 99/98, 875/864

POTE generator: ~6/5 = 325.548

Map: [<2 1 3 4 8|, <0 4 3 3 -2|]

EDOs: 18, 22, 48, 70c, 118cd

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

Cavalier

Commas: 45/44, 50/49, 875/864

POTE generator: ~6/5 = 323.427

Map: [<2 1 3 4 1|, <0 4 3 3 11|]

EDOs: 26

Badness: 0.0529

13-limit

Commas: 45/44, 50/49, 78/77, 325/324

POTE generator: ~6/5 = 323.396

Map: [<2 1 3 4 1 2|, <0 4 3 3 11 10|]

EDOs: 26

Badness: 0.0350

Lemba

Commas: 50/49, 525/512

POTE generator: ~8/7 = 232.089

Map: [<2 2 5 6|, <0 3 -1 -1|]

EDOs: 10, 16, 26, 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

Vigin

Commas: 50/49, 55/54, 64/63, 99/98

POTE generator: ~13/8 = 844.624

Map: [<22 35 51 62 76 0|, <0 0 0 0 0 1|]

EDOs: 22, 44

Badness: 0.0298

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

Elvis

Comma: |25 -10 -4>

POTE generator: ~45/32 = 554.546

Map: [<2 1 10|, <0 2 -5|]

EDOs: 24c, 26, 80bc, 106bc, 132bc

Badness: 0.8840

7-limit

Commas: 50/49, 8505/8192

POTE generator: ~45/32 = 553.721

Map: [<2 1 10 11|, <0 2 -5 -5|]

Wedgie: <<4 -10 -10 -25 -27 5||

EDOs: 24c, 26

Badness: 0.1415

11-limit

Commas: 45/44, 50/49, 1344/1331

POTE generator: ~11/8 = 553.882

Map: [<2 1 10 11 8|, <0 2 -5 -5 -1|]

EDOs: 24c, 26

Badness: 0.0632

13-limit

Commas: 45/44, 50/49, 78/77, 1053/1024

POTE generator: ~11/8 = 553.892

Map: [<2 1 10 11 8 16|, <0 2 -5 -5 -1 -8|]

EDOs: 26

Badness: 0.0440

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