Aberschismic temperaments: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 339763950 - Original comment: **
Wikispaces>phylingual
**Imported revision 350130538 - Original comment: **
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<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>2012-05-26 17:33:16 UTC</tt>.<br>
: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-07-03 16:41:40 UTC</tt>.<br>
: The original revision id was <tt>339763950</tt>.<br>
: The original revision id was <tt>350130538</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">[[toc]]
<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 hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.
The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.


Line 47: Line 46:
Badness: 0.0184
Badness: 0.0184


==Buteo==
==Buteo==  
Commas: 99/98, 385/384, 2200/2187
Commas: 99/98, 385/384, 2200/2187


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Badness: 0.0602
Badness: 0.0602


===13-limit===
===13-limit===  
Commas: 99/98, 275/273, 385/384, 572/567
Commas: 99/98, 275/273, 385/384, 572/567


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Commas: 5120/5103, 235298/234375
Commas: 5120/5103, 235298/234375


[[POTE tuning|POTE generator]]: 703.039
[[POTE tuning|POTE generator]]: ~3/2 = 703.039


Map: [&lt;1 0 61 71|, &lt;0 1 -37 -43|]
Map: [&lt;1 0 61 71|, &lt;0 1 -37 -43|]
Line 83: Line 82:
Badness: 0.5232
Badness: 0.5232


==7-limit==
==7-limit==  
Commas: 686/675, 5120/5103
Commas: 686/675, 5120/5103


[[POTE tuning|POTE generator]]: 704.263
[[POTE tuning|POTE generator]]: ~3/2 = 704.263


Map: [&lt;1 0 -31 -21|, &lt;0 1 21 15|]
Map: [&lt;1 0 -31 -21|, &lt;0 1 21 15|]
Line 96: Line 95:
Commas: 121/120, 441/440, 686/675
Commas: 121/120, 441/440, 686/675


[[POTE tuning|POTE generator]]: 704.250
[[POTE tuning|POTE generator]]: ~3/2 = 704.250


Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]
Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]
Line 105: Line 104:
Commas: 91/90, 121/120, 169/168, 441/440
Commas: 91/90, 121/120, 169/168, 441/440


[[POTE tuning|POTE generator]]: 704.214
[[POTE tuning|POTE generator]]: ~3/2 = 704.214


Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]
Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]
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Commas: 5120/5103, 50421/50000
Commas: 5120/5103, 50421/50000


[[POTE tuning|POTE generator]]: 388.646
[[POTE tuning|POTE generator]]: ~5/4 = 388.646


Map: [&lt;29 46 0 14|, &lt;0 0 1 1|]
Map: [&lt;29 46 0 14|, &lt;0 0 1 1|]
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Commas: 441/440, 896/891, 3388/3375
Commas: 441/440, 896/891, 3388/3375


[[POTE tuning|POTE generator]]: 388.460
[[POTE tuning|POTE generator]]: ~5/4 = 388.460


Map: [&lt;29 46 0 14 33|, &lt;0 0 1 1 1|]
Map: [&lt;29 46 0 14 33|, &lt;0 0 1 1 1|]
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Commas: 196/195, 352/351, 364/363, 676/675
Commas: 196/195, 352/351, 364/363, 676/675


[[POTE tuning|POTE generator]]: 388.354
[[POTE tuning|POTE generator]]: ~5/4 = 388.354


Map: [&lt;29 46 0 14 33 40|, &lt;0 0 1 1 1 1|]
Map: [&lt;29 46 0 14 33 40|, &lt;0 0 1 1 1 1|]
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Badness: 0.0325
Badness: 0.0325


==17-limit==
==17-limit==  
Commas: 352/351, 442/441, 540/539, 715/714, 847/845
Commas: 352/351, 442/441, 540/539, 715/714, 847/845


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Badness: 0.0211
Badness: 0.0211


==19-limit==
==19-limit==  
Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714
Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714


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Badness: 0.0173
Badness: 0.0173


=Supers=
=Supers=  
Commas: 5120/5103, 118098/117649
Commas: 5120/5103, 118098/117649


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Badness: 92.748
Badness: 92.748


==11-limit==
==11-limit==  
Commas: 540/539, 4000/3993, 5120/5103
Commas: 540/539, 4000/3993, 5120/5103


Line 203: Line 202:
Badness: 0.0282
Badness: 0.0282


==13-limit==
==13-limit==  
Commas: 352/351, 540/539, 729/728, 1575/1573
Commas: 352/351, 540/539, 729/728, 1575/1573


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Badness: 0.0216
Badness: 0.0216


=Alphaquarter=
=Alphaquarter=  
Commas: 5120/5103, 29360128/29296875
Commas: 5120/5103, 29360128/29296875


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Badness: 0.1166
Badness: 0.1166


==11-limit==
==11-limit==  
Commas: 3025/3024, 4000/3993, 5120/5103
Commas: 3025/3024, 4000/3993, 5120/5103


Line 230: Line 229:
Badness: 0.0296
Badness: 0.0296


=Septiquarter=
=Septiquarter=  
Commas: 5120/5103, 420175/419904
Commas: 5120/5103, 420175/419904


POTE generator: ~147/128 = 242.453
POTE generator: ~147/128 = 242.453


Map: [&lt;1 3 10 2|, &lt;0 -7 -38 4|]
Map: [&lt;1 3 10 2|, &lt;0 -7 -38 4|]
Line 240: Line 239:
Badness: 0.0538
Badness: 0.0538


=Tricot=
=Tricot=  
Commas: 2430/2401, 5120/5103
Commas: 2430/2401, 5120/5103


Line 250: Line 249:
Badness: 0.1001
Badness: 0.1001


==11-limit==
==11-limit==  
Commas: 99/98, 121/120, 5120/5103
Commas: 99/98, 121/120, 5120/5103


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Badness: 0.0561
Badness: 0.0561


==13-limit==
==13-limit==  
Commas: 99/98, 121/120, 169/168, 352/351
Commas: 99/98, 121/120, 169/168, 352/351


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Map: [[&lt; 3 16 8 11 7|, &lt;0 -3 -29 -11 -16 -7|]
Map: [[&lt; 3 16 8 11 7|, &lt;0 -3 -29 -11 -16 -7|]
EDOs: 53
EDOs: 53
Badness: 0.0321
Badness: 0.0321</pre></div>
 
 
 
 
 
 
</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;Hemifamity temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:56:&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:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Buzzard"&gt;Buzzard&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;Hemifamity temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:56:&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:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Buzzard"&gt;Buzzard&lt;/a&gt;&lt;/div&gt;
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&lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Tricot-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Tricot-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:85 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:85 --&gt;The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&amp;gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.&lt;br /&gt;
The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&amp;gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.&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="Buzzard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Buzzard&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Buzzard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Buzzard&lt;/h1&gt;
Line 345: Line 336:
&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="Buzzard-Buteo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Buteo&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Buzzard-Buteo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Buteo&lt;/h2&gt;
Commas: 99/98, 385/384, 2200/2187&lt;br /&gt;
Commas: 99/98, 385/384, 2200/2187&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/16 = 475.436&lt;br /&gt;
POTE generator: ~21/16 = 475.436&lt;br /&gt;
Line 354: Line 345:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="Buzzard-Buteo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="Buzzard-Buteo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit&lt;/h3&gt;
Commas: 99/98, 275/273, 385/384, 572/567&lt;br /&gt;
Commas: 99/98, 275/273, 385/384, 572/567&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/16 = 475.464&lt;br /&gt;
POTE generator: ~21/16 = 475.464&lt;br /&gt;
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  Commas: 5120/5103, 235298/234375&lt;br /&gt;
  Commas: 5120/5103, 235298/234375&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.039&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 703.039&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 61 71|, &amp;lt;0 1 -37 -43|]&lt;br /&gt;
Map: [&amp;lt;1 0 61 71|, &amp;lt;0 1 -37 -43|]&lt;br /&gt;
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&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="Leapday-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;7-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Leapday-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;7-limit&lt;/h2&gt;
Commas: 686/675, 5120/5103&lt;br /&gt;
Commas: 686/675, 5120/5103&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 704.263&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.263&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21|, &amp;lt;0 1 21 15|]&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21|, &amp;lt;0 1 21 15|]&lt;br /&gt;
Line 393: Line 384:
  Commas: 121/120, 441/440, 686/675&lt;br /&gt;
  Commas: 121/120, 441/440, 686/675&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 704.250&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.250&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21 -14|, &amp;lt;0 1 21 15 11|]&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21 -14|, &amp;lt;0 1 21 15 11|]&lt;br /&gt;
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  Commas: 91/90, 121/120, 169/168, 441/440&lt;br /&gt;
  Commas: 91/90, 121/120, 169/168, 441/440&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 704.214&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.214&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21 -14 -9|, &amp;lt;0 1 21 15 11 8|]&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21 -14 -9|, &amp;lt;0 1 21 15 11 8|]&lt;br /&gt;
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  Commas: 5120/5103, 50421/50000&lt;br /&gt;
  Commas: 5120/5103, 50421/50000&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 388.646&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~5/4 = 388.646&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;29 46 0 14|, &amp;lt;0 0 1 1|]&lt;br /&gt;
Map: [&amp;lt;29 46 0 14|, &amp;lt;0 0 1 1|]&lt;br /&gt;
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  Commas: 441/440, 896/891, 3388/3375&lt;br /&gt;
  Commas: 441/440, 896/891, 3388/3375&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 388.460&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~5/4 = 388.460&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;29 46 0 14 33|, &amp;lt;0 0 1 1 1|]&lt;br /&gt;
Map: [&amp;lt;29 46 0 14 33|, &amp;lt;0 0 1 1 1|]&lt;br /&gt;
Line 430: Line 421:
  Commas: 196/195, 352/351, 364/363, 676/675&lt;br /&gt;
  Commas: 196/195, 352/351, 364/363, 676/675&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 388.354&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~5/4 = 388.354&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;29 46 0 14 33 40|, &amp;lt;0 0 1 1 1 1|]&lt;br /&gt;
Map: [&amp;lt;29 46 0 14 33 40|, &amp;lt;0 0 1 1 1 1|]&lt;br /&gt;
Line 464: Line 455:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="Quanic-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;17-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="Quanic-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;17-limit&lt;/h2&gt;
Commas: 352/351, 442/441, 540/539, 715/714, 847/845&lt;br /&gt;
Commas: 352/351, 442/441, 540/539, 715/714, 847/845&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/12 = 140.497&lt;br /&gt;
POTE generator: ~13/12 = 140.497&lt;br /&gt;
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&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="Quanic-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;19-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Quanic-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;19-limit&lt;/h2&gt;
Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714&lt;br /&gt;
Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/12 = 140.496&lt;br /&gt;
POTE generator: ~13/12 = 140.496&lt;br /&gt;
Line 482: Line 473:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Supers"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Supers&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Supers"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Supers&lt;/h1&gt;
Commas: 5120/5103, 118098/117649&lt;br /&gt;
Commas: 5120/5103, 118098/117649&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 434.218&lt;br /&gt;
POTE generator: ~9/7 = 434.218&lt;br /&gt;
Line 492: Line 483:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Supers-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Supers-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;11-limit&lt;/h2&gt;
Commas: 540/539, 4000/3993, 5120/5103&lt;br /&gt;
Commas: 540/539, 4000/3993, 5120/5103&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 434.217&lt;br /&gt;
POTE generator: ~9/7 = 434.217&lt;br /&gt;
Line 501: Line 492:
&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="Supers-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="Supers-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;13-limit&lt;/h2&gt;
Commas: 352/351, 540/539, 729/728, 1575/1573&lt;br /&gt;
Commas: 352/351, 540/539, 729/728, 1575/1573&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 434.221&lt;br /&gt;
POTE generator: ~9/7 = 434.221&lt;br /&gt;
Line 510: Line 501:
&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="Alphaquarter"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Alphaquarter&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Alphaquarter"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Alphaquarter&lt;/h1&gt;
Commas: 5120/5103, 29360128/29296875&lt;br /&gt;
Commas: 5120/5103, 29360128/29296875&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~16128/15625 = 55.243&lt;br /&gt;
POTE generator: ~16128/15625 = 55.243&lt;br /&gt;
Line 520: Line 511:
&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="Alphaquarter-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc23"&gt;&lt;a name="Alphaquarter-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;11-limit&lt;/h2&gt;
Commas: 3025/3024, 4000/3993, 5120/5103&lt;br /&gt;
Commas: 3025/3024, 4000/3993, 5120/5103&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~33/32 = 55.243&lt;br /&gt;
POTE generator: ~33/32 = 55.243&lt;br /&gt;
Line 528: Line 519:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Septiquarter"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;Septiquarter&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Septiquarter"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;Septiquarter&lt;/h1&gt;
Commas: 5120/5103, 420175/419904&lt;br /&gt;
Commas: 5120/5103, 420175/419904&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~147/128 = 242.453&lt;br /&gt;
POTE generator: ~147/128 = 242.453&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 10 2|, &amp;lt;0 -7 -38 4|]&lt;br /&gt;
Map: [&amp;lt;1 3 10 2|, &amp;lt;0 -7 -38 4|]&lt;br /&gt;
Line 538: Line 529:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Tricot"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Tricot&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Tricot"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Tricot&lt;/h1&gt;
Commas: 2430/2401, 5120/5103&lt;br /&gt;
Commas: 2430/2401, 5120/5103&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~81/56 = 634.026&lt;br /&gt;
POTE generator: ~81/56 = 634.026&lt;br /&gt;
Line 548: Line 539:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc26"&gt;&lt;a name="Tricot-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc26"&gt;&lt;a name="Tricot-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;11-limit&lt;/h2&gt;
Commas: 99/98, 121/120, 5120/5103&lt;br /&gt;
Commas: 99/98, 121/120, 5120/5103&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~63/44 = 634.027&lt;br /&gt;
POTE generator: ~63/44 = 634.027&lt;br /&gt;
Line 557: Line 548:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc27"&gt;&lt;a name="Tricot-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc27"&gt;&lt;a name="Tricot-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;13-limit&lt;/h2&gt;
Commas: 99/98, 121/120, 169/168, 352/351&lt;br /&gt;
Commas: 99/98, 121/120, 169/168, 352/351&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/9 = 634.012&lt;br /&gt;
POTE generator: ~13/9 = 634.012&lt;br /&gt;

Revision as of 16:41, 3 July 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 phylingual and made on 2012-07-03 16:41:40 UTC.
The original revision id was 350130538.
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]]
The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1> = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.

=Buzzard= 
Commas: 1728/1715, 5120/5103

[[POTE tuning|POTE generator]]: ~320/243 = 475.636

Map: [<1 0 -6 4|, <0 4 21 -3|]
Wedgie: <<4 21 -3 24 -16 -66||
EDOs: 48, 53, 111, 164, 275
Badness: 0.0480

==11-limit== 
Commas: 176/175, 540/539, 5120/5103

[[POTE tuning|POTE generator]]: ~320/243 = 475.700

Map: [<1 0 -6 4 -12|, <0 4 21 -3 39|]
EDOs: 53, 58, 111, 391
Badness: 0.0345

==13-limit== 
Commas: 176/175, 351/350, 540/539, 676/675

[[POTE tuning|POTE generator]]: ~320/243 = 475.697

Map: [<1 0 -6 4 -12 -7|, <0 4 21 -3 39 27|]
EDOs: 53, 58, 111, 391, 502
Badness: 0.0188

==17-limit== 
Commas: 176/175, 256/255, 351/350, 442/441, 540/539

[[POTE tuning|POTE generator]]: ~320/243 = 475.692

Map: [<1 0 -6 4 -12 -7 14|, <0 4 21 -3 39 27 -25|]
EDOs: 53, 58, 111, 613
Badness: 0.0184

==Buteo== 
Commas: 99/98, 385/384, 2200/2187

POTE generator: ~21/16 = 475.436

Map: [<1 0 -6 4 9|, <0 4 21 -3 -14|]
EDOs: 5, 48, 53
Badness: 0.0602

===13-limit=== 
Commas: 99/98, 275/273, 385/384, 572/567

POTE generator: ~21/16 = 475.464

Map: [<1 0 -6 4 9 -7|, <0 4 21 -3 -14 27|]
EDOs: 5, 53
Badness: 0.0390

=Undecental= 
Commas: 5120/5103, 235298/234375

[[POTE tuning|POTE generator]]: ~3/2 = 703.039

Map: [<1 0 61 71|, <0 1 -37 -43|]
Wedgie: <<1 -37 -43 -61 -71 4||
EDOs: 12, 29, 70, 99

=Leapday= 
Comma: 10737418240/10460353203

POTE generator: ~3/2 = 704.179

Map: [<1 0 -31|, <0 1 21|]
EDOs: 29, 46, 121, 167, 455bc, 622bc
Badness: 0.5232

==7-limit== 
Commas: 686/675, 5120/5103

[[POTE tuning|POTE generator]]: ~3/2 = 704.263

Map: [<1 0 -31 -21|, <0 1 21 15|]
Wedgie: <<1 21 15 31 21 -24||
EDOs: 29, 46, 305
Badness: 0.0961

==11-limit== 
Commas: 121/120, 441/440, 686/675

[[POTE tuning|POTE generator]]: ~3/2 = 704.250

Map: [<1 0 -31 -21 -14|, <0 1 21 15 11|]
EDOs: 29, 46, 259
Badness: 0.0386

==13-limit== 
Commas: 91/90, 121/120, 169/168, 441/440

[[POTE tuning|POTE generator]]: ~3/2 = 704.214

Map: [<1 0 -31 -21 -14 -9|, <0 1 21 15 11 8|]
EDOs: 29, 46, 167, 213, 380
Badness: 0.0247

=Mystery= 
Commas: 5120/5103, 50421/50000

[[POTE tuning|POTE generator]]: ~5/4 = 388.646

Map: [<29 46 0 14|, <0 0 1 1|]
Wedgie: <<0 29 29 46 46 -14||
EDOs: 29, 58, 87, 145
Badness: 0.1037

==11-limit== 
Commas: 441/440, 896/891, 3388/3375

[[POTE tuning|POTE generator]]: ~5/4 = 388.460

Map: [<29 46 0 14 33|, <0 0 1 1 1|]
EDOs: 29, 58, 87, 145
Badness: 0.0343

==13-limit== 
Commas: 196/195, 352/351, 364/363, 676/675

[[POTE tuning|POTE generator]]: ~5/4 = 388.354

Map: [<29 46 0 14 33 40|, <0 0 1 1 1 1|]
EDOs: 29, 58, 87, 145, 232, 377
Badness: 0.0186

=Quanic= 
Commas: 5120/5103, 5832000/5764801

POTE generator: ~160/147 = 140.493

Map: [<1 1 -4 0|, <0 5 54 24|]
EDOs: 94, 111, 205
Badness: 0.1795

==11-limit== 
Commas: 540/539, 1331/1323, 5120/5103

POTE generator: ~88/81 = 140.489

Map: [<1 1 -4 0 1|, <0 5 54 24 21|]
EDOs: 94, 111, 205
Badness: 0.0587

==13-limit== 
Commas: 352/351, 540/539, 729/728, 1331/1323

POTE generator: ~13/12 = 140.496

Map: [<1 1 -4 0 1 3|, <0 5 54 24 21 6|]
EDOs: 94, 111, 205
Badness: 0.0325

==17-limit== 
Commas: 352/351, 442/441, 540/539, 715/714, 847/845

POTE generator: ~13/12 = 140.497

Map: [<1 1 -4 0 1 3 -2|, <0 5 54 24 21 6 52|]
EDOs: 94, 111, 205
Badness: 0.0211

==19-limit== 
Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714

POTE generator: ~13/12 = 140.496

Map: [<1 1 -4 0 1 3 -2 -5|, <0 5 54 24 21 6 52 79|]
EDOs: 94, 111, 205
Badness: 0.0173

=Supers= 
Commas: 5120/5103, 118098/117649

POTE generator: ~9/7 = 434.218

Map: [<2 1 -12 2|, <0 3 23 5|]
Wedgie: <<6 46 10 59 -1 -106||
EDOs: 58, 94, 152
Badness: 92.748

==11-limit== 
Commas: 540/539, 4000/3993, 5120/5103

POTE generator: ~9/7 = 434.217

Map: [<2 1 -12 2 -9|, <0 3 23 5 22|]
EDOs: 58, 94, 152
Badness: 0.0282

==13-limit== 
Commas: 352/351, 540/539, 729/728, 1575/1573

POTE generator: ~9/7 = 434.221

Map: [<2 1 -12 2 -9 -2|, <0 3 23 5 22 13|]
EDOs: 58, 94, 152f
Badness: 0.0216

=Alphaquarter= 
Commas: 5120/5103, 29360128/29296875

POTE generator: ~16128/15625 = 55.243

Map: [<1 2 2 0|, <0 -9 7 61|]
Wedgie: <<9 -7 -61 -32 -122 -122||
EDOs: 87, 152, 239, 391
Badness: 0.1166

==11-limit== 
Commas: 3025/3024, 4000/3993, 5120/5103

POTE generator: ~33/32 = 55.243

EDOs: 87, 152, 239, 391
Badness: 0.0296

=Septiquarter= 
Commas: 5120/5103, 420175/419904

POTE generator: ~147/128 = 242.453

Map: [<1 3 10 2|, <0 -7 -38 4|]
Wedgie: <<7 38 -4 44 -26 -116||
EDOs: 94, 99, 292, 391, 881bd, 1272bcd
Badness: 0.0538

=Tricot= 
Commas: 2430/2401, 5120/5103

POTE generator: ~81/56 = 634.026

Map: [[< 3 16 8|, <0 -3 -29 -11|]
Wedgie: <<3 29 11 39 9 -56||
EDOs: 53, 229d, 282d
Badness: 0.1001

==11-limit== 
Commas: 99/98, 121/120, 5120/5103

POTE generator: ~63/44 = 634.027

Map: [[< 3 16 8 11|, <0 -3 -29 -11 -16|]
EDOs: 53, 176de, 229
Badness: 0.0561

==13-limit== 
Commas: 99/98, 121/120, 169/168, 352/351

POTE generator: ~13/9 = 634.012

Map: [[< 3 16 8 11 7|, <0 -3 -29 -11 -16 -7|]
EDOs: 53
Badness: 0.0321

Original HTML content:

<html><head><title>Hemifamity temperaments</title></head><body><!-- ws:start:WikiTextTocRule:56:&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:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 1em;"><a href="#Buzzard">Buzzard</a></div>
<!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><div style="margin-left: 2em;"><a href="#Buzzard-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><div style="margin-left: 2em;"><a href="#Buzzard-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><div style="margin-left: 2em;"><a href="#Buzzard-17-limit">17-limit</a></div>
<!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 2em;"><a href="#Buzzard-Buteo">Buteo</a></div>
<!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 3em;"><a href="#Buzzard-Buteo-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 1em;"><a href="#Undecental">Undecental</a></div>
<!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><div style="margin-left: 1em;"><a href="#Leapday">Leapday</a></div>
<!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><div style="margin-left: 2em;"><a href="#Leapday-7-limit">7-limit</a></div>
<!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><div style="margin-left: 2em;"><a href="#Leapday-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><div style="margin-left: 2em;"><a href="#Leapday-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><div style="margin-left: 1em;"><a href="#Mystery">Mystery</a></div>
<!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><div style="margin-left: 2em;"><a href="#Mystery-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><div style="margin-left: 2em;"><a href="#Mystery-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><div style="margin-left: 1em;"><a href="#Quanic">Quanic</a></div>
<!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><div style="margin-left: 2em;"><a href="#Quanic-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><div style="margin-left: 2em;"><a href="#Quanic-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><div style="margin-left: 2em;"><a href="#Quanic-17-limit">17-limit</a></div>
<!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><div style="margin-left: 2em;"><a href="#Quanic-19-limit">19-limit</a></div>
<!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><div style="margin-left: 1em;"><a href="#Supers">Supers</a></div>
<!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><div style="margin-left: 2em;"><a href="#Supers-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><div style="margin-left: 2em;"><a href="#Supers-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><div style="margin-left: 1em;"><a href="#Alphaquarter">Alphaquarter</a></div>
<!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><div style="margin-left: 2em;"><a href="#Alphaquarter-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><div style="margin-left: 1em;"><a href="#Septiquarter">Septiquarter</a></div>
<!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><div style="margin-left: 1em;"><a href="#Tricot">Tricot</a></div>
<!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --><div style="margin-left: 2em;"><a href="#Tricot-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --><div style="margin-left: 2em;"><a href="#Tricot-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --></div>
<!-- ws:end:WikiTextTocRule:85 -->The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Buzzard"></a><!-- ws:end:WikiTextHeadingRule:0 -->Buzzard</h1>
 Commas: 1728/1715, 5120/5103<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~320/243 = 475.636<br />
<br />
Map: [&lt;1 0 -6 4|, &lt;0 4 21 -3|]<br />
Wedgie: &lt;&lt;4 21 -3 24 -16 -66||<br />
EDOs: 48, 53, 111, 164, 275<br />
Badness: 0.0480<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Buzzard-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
 Commas: 176/175, 540/539, 5120/5103<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~320/243 = 475.700<br />
<br />
Map: [&lt;1 0 -6 4 -12|, &lt;0 4 21 -3 39|]<br />
EDOs: 53, 58, 111, 391<br />
Badness: 0.0345<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Buzzard-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2>
 Commas: 176/175, 351/350, 540/539, 676/675<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~320/243 = 475.697<br />
<br />
Map: [&lt;1 0 -6 4 -12 -7|, &lt;0 4 21 -3 39 27|]<br />
EDOs: 53, 58, 111, 391, 502<br />
Badness: 0.0188<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Buzzard-17-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->17-limit</h2>
 Commas: 176/175, 256/255, 351/350, 442/441, 540/539<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~320/243 = 475.692<br />
<br />
Map: [&lt;1 0 -6 4 -12 -7 14|, &lt;0 4 21 -3 39 27 -25|]<br />
EDOs: 53, 58, 111, 613<br />
Badness: 0.0184<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Buzzard-Buteo"></a><!-- ws:end:WikiTextHeadingRule:8 -->Buteo</h2>
 Commas: 99/98, 385/384, 2200/2187<br />
<br />
POTE generator: ~21/16 = 475.436<br />
<br />
Map: [&lt;1 0 -6 4 9|, &lt;0 4 21 -3 -14|]<br />
EDOs: 5, 48, 53<br />
Badness: 0.0602<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="Buzzard-Buteo-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h3>
 Commas: 99/98, 275/273, 385/384, 572/567<br />
<br />
POTE generator: ~21/16 = 475.464<br />
<br />
Map: [&lt;1 0 -6 4 9 -7|, &lt;0 4 21 -3 -14 27|]<br />
EDOs: 5, 53<br />
Badness: 0.0390<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Undecental"></a><!-- ws:end:WikiTextHeadingRule:12 -->Undecental</h1>
 Commas: 5120/5103, 235298/234375<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 703.039<br />
<br />
Map: [&lt;1 0 61 71|, &lt;0 1 -37 -43|]<br />
Wedgie: &lt;&lt;1 -37 -43 -61 -71 4||<br />
EDOs: 12, 29, 70, 99<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Leapday"></a><!-- ws:end:WikiTextHeadingRule:14 -->Leapday</h1>
 Comma: 10737418240/10460353203<br />
<br />
POTE generator: ~3/2 = 704.179<br />
<br />
Map: [&lt;1 0 -31|, &lt;0 1 21|]<br />
EDOs: 29, 46, 121, 167, 455bc, 622bc<br />
Badness: 0.5232<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Leapday-7-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->7-limit</h2>
 Commas: 686/675, 5120/5103<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 704.263<br />
<br />
Map: [&lt;1 0 -31 -21|, &lt;0 1 21 15|]<br />
Wedgie: &lt;&lt;1 21 15 31 21 -24||<br />
EDOs: 29, 46, 305<br />
Badness: 0.0961<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Leapday-11-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->11-limit</h2>
 Commas: 121/120, 441/440, 686/675<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 704.250<br />
<br />
Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]<br />
EDOs: 29, 46, 259<br />
Badness: 0.0386<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Leapday-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2>
 Commas: 91/90, 121/120, 169/168, 441/440<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 704.214<br />
<br />
Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]<br />
EDOs: 29, 46, 167, 213, 380<br />
Badness: 0.0247<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Mystery"></a><!-- ws:end:WikiTextHeadingRule:22 -->Mystery</h1>
 Commas: 5120/5103, 50421/50000<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~5/4 = 388.646<br />
<br />
Map: [&lt;29 46 0 14|, &lt;0 0 1 1|]<br />
Wedgie: &lt;&lt;0 29 29 46 46 -14||<br />
EDOs: 29, 58, 87, 145<br />
Badness: 0.1037<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Mystery-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2>
 Commas: 441/440, 896/891, 3388/3375<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~5/4 = 388.460<br />
<br />
Map: [&lt;29 46 0 14 33|, &lt;0 0 1 1 1|]<br />
EDOs: 29, 58, 87, 145<br />
Badness: 0.0343<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Mystery-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h2>
 Commas: 196/195, 352/351, 364/363, 676/675<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~5/4 = 388.354<br />
<br />
Map: [&lt;29 46 0 14 33 40|, &lt;0 0 1 1 1 1|]<br />
EDOs: 29, 58, 87, 145, 232, 377<br />
Badness: 0.0186<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Quanic"></a><!-- ws:end:WikiTextHeadingRule:28 -->Quanic</h1>
 Commas: 5120/5103, 5832000/5764801<br />
<br />
POTE generator: ~160/147 = 140.493<br />
<br />
Map: [&lt;1 1 -4 0|, &lt;0 5 54 24|]<br />
EDOs: 94, 111, 205<br />
Badness: 0.1795<br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Quanic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->11-limit</h2>
 Commas: 540/539, 1331/1323, 5120/5103<br />
<br />
POTE generator: ~88/81 = 140.489<br />
<br />
Map: [&lt;1 1 -4 0 1|, &lt;0 5 54 24 21|]<br />
EDOs: 94, 111, 205<br />
Badness: 0.0587<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Quanic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->13-limit</h2>
 Commas: 352/351, 540/539, 729/728, 1331/1323<br />
<br />
POTE generator: ~13/12 = 140.496<br />
<br />
Map: [&lt;1 1 -4 0 1 3|, &lt;0 5 54 24 21 6|]<br />
EDOs: 94, 111, 205<br />
Badness: 0.0325<br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Quanic-17-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->17-limit</h2>
 Commas: 352/351, 442/441, 540/539, 715/714, 847/845<br />
<br />
POTE generator: ~13/12 = 140.497<br />
<br />
Map: [&lt;1 1 -4 0 1 3 -2|, &lt;0 5 54 24 21 6 52|]<br />
EDOs: 94, 111, 205<br />
Badness: 0.0211<br />
<br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Quanic-19-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->19-limit</h2>
 Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714<br />
<br />
POTE generator: ~13/12 = 140.496<br />
<br />
Map: [&lt;1 1 -4 0 1 3 -2 -5|, &lt;0 5 54 24 21 6 52 79|]<br />
EDOs: 94, 111, 205<br />
Badness: 0.0173<br />
<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Supers"></a><!-- ws:end:WikiTextHeadingRule:38 -->Supers</h1>
 Commas: 5120/5103, 118098/117649<br />
<br />
POTE generator: ~9/7 = 434.218<br />
<br />
Map: [&lt;2 1 -12 2|, &lt;0 3 23 5|]<br />
Wedgie: &lt;&lt;6 46 10 59 -1 -106||<br />
EDOs: 58, 94, 152<br />
Badness: 92.748<br />
<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Supers-11-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->11-limit</h2>
 Commas: 540/539, 4000/3993, 5120/5103<br />
<br />
POTE generator: ~9/7 = 434.217<br />
<br />
Map: [&lt;2 1 -12 2 -9|, &lt;0 3 23 5 22|]<br />
EDOs: 58, 94, 152<br />
Badness: 0.0282<br />
<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Supers-13-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->13-limit</h2>
 Commas: 352/351, 540/539, 729/728, 1575/1573<br />
<br />
POTE generator: ~9/7 = 434.221<br />
<br />
Map: [&lt;2 1 -12 2 -9 -2|, &lt;0 3 23 5 22 13|]<br />
EDOs: 58, 94, 152f<br />
Badness: 0.0216<br />
<br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Alphaquarter"></a><!-- ws:end:WikiTextHeadingRule:44 -->Alphaquarter</h1>
 Commas: 5120/5103, 29360128/29296875<br />
<br />
POTE generator: ~16128/15625 = 55.243<br />
<br />
Map: [&lt;1 2 2 0|, &lt;0 -9 7 61|]<br />
Wedgie: &lt;&lt;9 -7 -61 -32 -122 -122||<br />
EDOs: 87, 152, 239, 391<br />
Badness: 0.1166<br />
<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Alphaquarter-11-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->11-limit</h2>
 Commas: 3025/3024, 4000/3993, 5120/5103<br />
<br />
POTE generator: ~33/32 = 55.243<br />
<br />
EDOs: 87, 152, 239, 391<br />
Badness: 0.0296<br />
<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="Septiquarter"></a><!-- ws:end:WikiTextHeadingRule:48 -->Septiquarter</h1>
 Commas: 5120/5103, 420175/419904<br />
<br />
POTE generator: ~147/128 = 242.453<br />
<br />
Map: [&lt;1 3 10 2|, &lt;0 -7 -38 4|]<br />
Wedgie: &lt;&lt;7 38 -4 44 -26 -116||<br />
EDOs: 94, 99, 292, 391, 881bd, 1272bcd<br />
Badness: 0.0538<br />
<br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="Tricot"></a><!-- ws:end:WikiTextHeadingRule:50 -->Tricot</h1>
 Commas: 2430/2401, 5120/5103<br />
<br />
POTE generator: ~81/56 = 634.026<br />
<br />
Map: [[&lt; 3 16 8|, &lt;0 -3 -29 -11|]<br />
Wedgie: &lt;&lt;3 29 11 39 9 -56||<br />
EDOs: 53, 229d, 282d<br />
Badness: 0.1001<br />
<br />
<!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Tricot-11-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->11-limit</h2>
 Commas: 99/98, 121/120, 5120/5103<br />
<br />
POTE generator: ~63/44 = 634.027<br />
<br />
Map: [[&lt; 3 16 8 11|, &lt;0 -3 -29 -11 -16|]<br />
EDOs: 53, 176de, 229<br />
Badness: 0.0561<br />
<br />
<!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="Tricot-13-limit"></a><!-- ws:end:WikiTextHeadingRule:54 -->13-limit</h2>
 Commas: 99/98, 121/120, 169/168, 352/351<br />
<br />
POTE generator: ~13/9 = 634.012<br />
<br />
Map: [[&lt; 3 16 8 11 7|, &lt;0 -3 -29 -11 -16 -7|]<br />
EDOs: 53<br />
Badness: 0.0321</body></html>