Hemimean clan: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 246932283 - Original comment: **
Wikispaces>xenwolf
**Imported revision 247386219 - 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>2011-08-19 08:42:30 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-08-21 11:27:59 UTC</tt>.<br>
: The original revision id was <tt>246932283</tt>.<br>
: The original revision id was <tt>247386219</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">The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
 
The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.


Comma: 3136/3125
Comma: 3136/3125
Line 15: Line 17:
EDOs: [[6edo|6]], [[31edo|31]], 161, 353, 514, 867
EDOs: [[6edo|6]], [[31edo|31]], 161, 353, 514, 867


==Misty==
=Misty=
Commas: 3136/3125, 5120/5103
Commas: 3136/3125, 5120/5103


Line 24: Line 26:
EDOs: [[12edo|12]], [[87edo|87]], [[99edo|99]]
EDOs: [[12edo|12]], [[87edo|87]], [[99edo|99]]


===11-limit===
==11-limit==
Commas: 441/440, 3136/3125, 4375/4356
Commas: 441/440, 3136/3125, 4375/4356


Line 32: Line 34:
EDOs: 12, 87, 99, 186
EDOs: 12, 87, 99, 186


===13-limit===
==13-limit==
Commas: 196/195, 352/351, 364/363, 635/624
Commas: 196/195, 352/351, 364/363, 635/624


Line 40: Line 42:
EDOs: 12, 87, 273
EDOs: 12, 87, 273


====Mystic====
=Mystic=
Commas: 325/324, 441/440, 896/891, 1001/1000
Commas: 325/324, 441/440, 896/891, 1001/1000


Line 48: Line 50:
EDOs: 12, 87, 273
EDOs: 12, 87, 273


===17-limit===
==17-limit==
Commas: 196/195, 352/351, 364/363, 635/624
Commas: 196/195, 352/351, 364/363, 635/624


Line 56: Line 58:
EDOs: 12, 87, 186
EDOs: 12, 87, 186


===19-limit===
==19-limit==
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324


Line 64: Line 66:
EDOs: 12, 87, 186
EDOs: 12, 87, 186


==Semisept==
=Semisept=
Commas: 3136/3126, 1728/1715
Commas: 3136/3126, 1728/1715


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EDOs: 31, 80, 111, 302, 413</pre></div>
EDOs: 31, 80, 111, 302, 413</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;Hemimean clan&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.&lt;br /&gt;
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Hemimean clan&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:14:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;a href="#Misty"&gt;Misty&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Mystic"&gt;Mystic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt; | &lt;a href="#Semisept"&gt;Semisept&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;
&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;br /&gt;
The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Comma: 3136/3125&lt;br /&gt;
Comma: 3136/3125&lt;br /&gt;
Line 123: Line 127:
EDOs: &lt;a class="wiki_link" href="/6edo"&gt;6&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, 161, 353, 514, 867&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/6edo"&gt;6&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, 161, 353, 514, 867&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Misty"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Misty&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Misty"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Misty&lt;/h1&gt;
Commas: 3136/3125, 5120/5103&lt;br /&gt;
Commas: 3136/3125, 5120/5103&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 132: Line 136:
EDOs: &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/87edo"&gt;87&lt;/a&gt;, &lt;a class="wiki_link" href="/99edo"&gt;99&lt;/a&gt;&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/87edo"&gt;87&lt;/a&gt;, &lt;a class="wiki_link" href="/99edo"&gt;99&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Misty-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Misty-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
Commas: 441/440, 3136/3125, 4375/4356&lt;br /&gt;
Commas: 441/440, 3136/3125, 4375/4356&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 140: Line 144:
EDOs: 12, 87, 99, 186&lt;br /&gt;
EDOs: 12, 87, 99, 186&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Misty-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Misty-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
Commas: 196/195, 352/351, 364/363, 635/624&lt;br /&gt;
Commas: 196/195, 352/351, 364/363, 635/624&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 148: Line 152:
EDOs: 12, 87, 273&lt;br /&gt;
EDOs: 12, 87, 273&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc3"&gt;&lt;a name="x-Misty-13-limit-Mystic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Mystic&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Mystic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Mystic&lt;/h1&gt;
Commas: 325/324, 441/440, 896/891, 1001/1000&lt;br /&gt;
Commas: 325/324, 441/440, 896/891, 1001/1000&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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EDOs: 12, 87, 273&lt;br /&gt;
EDOs: 12, 87, 273&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Misty-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;17-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Mystic-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;17-limit&lt;/h2&gt;
Commas: 196/195, 352/351, 364/363, 635/624&lt;br /&gt;
Commas: 196/195, 352/351, 364/363, 635/624&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 164: Line 168:
EDOs: 12, 87, 186&lt;br /&gt;
EDOs: 12, 87, 186&lt;br /&gt;
&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="x-Misty-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;19-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Mystic-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;19-limit&lt;/h2&gt;
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324&lt;br /&gt;
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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EDOs: 12, 87, 186&lt;br /&gt;
EDOs: 12, 87, 186&lt;br /&gt;
&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="x-Semisept"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Semisept&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Semisept"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Semisept&lt;/h1&gt;
Commas: 3136/3126, 1728/1715&lt;br /&gt;
Commas: 3136/3126, 1728/1715&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;

Revision as of 11:27, 21 August 2011

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author xenwolf and made on 2011-08-21 11:27:59 UTC.
The original revision id was 247386219.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[toc|flat]]

The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.

Comma: 3136/3125

No-threes [[POTE tuning|POTE generator]] (~28/25): 193.772

Map: [<1 0 0 -3|, <0 0 2 5|]
EDOs: [[6edo|6]], [[31edo|31]], 161, 353, 514, 867

=Misty=
Commas: 3136/3125, 5120/5103

[[POTE tuning|POTE generator]]: 703.021

Map: [<3 0 26 56|, <0 1 -4 -10|]
Wedgie: <<3 -12 -30 -26 -56 -36||
EDOs: [[12edo|12]], [[87edo|87]], [[99edo|99]]

==11-limit==
Commas: 441/440, 3136/3125, 4375/4356

[[POTE tuning|POTE generator]]: 703.210

Map: [<3 0 26 56 77|, <0 1 -4 -10 -14|]
EDOs: 12, 87, 99, 186

==13-limit==
Commas: 196/195, 352/351, 364/363, 635/624

[[POTE tuning|POTE generator]]: 703.303

Map: [<3 0 26 56 77 92|, <0 1 -4 -10 -14 -17|]
EDOs: 12, 87, 273

=Mystic=
Commas: 325/324, 441/440, 896/891, 1001/1000

[[POTE tuning|POTE generator]]: 703.311

Map: [<3 0 26 56 77 -46|, <0 1 -4 -10 -14 12|]
EDOs: 12, 87, 273

==17-limit==
Commas: 196/195, 352/351, 364/363, 635/624

[[POTE tuning|POTE generator]]: 703.233

Map: [<3 0 26 56 77 92 -2|, <0 1 -4 -10 -14 -17 3|]
EDOs: 12, 87, 186

==19-limit==
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324

[[POTE tuning|POTE generator]]: 703.253

Map: [<3 0 26 56 77 92 -2 8|, <0 1 -4 -10 -14 -17 3 1|]
EDOs: 12, 87, 186

=Semisept=
Commas: 3136/3126, 1728/1715

[[POTE tuning|POTE generator]]: (~75/49) 735.155

Map: [<1 12 6 12|, <0 -17 -6 -15|]
Wedgie: <<17 6 15 -30 -24 18||
EDOs: [[18edo|18]], 31, [[80edo|80]], 111

11-limit
Commas: 176/175, 540/539, 1331/1323

[[POTE tuning|POTE generator]]: (~55/36) 735.125

Map: [<1 12 6 12 20|, <0 -17 -6 -15 -27|]
EDOs: 31, 80, 111

13-limit
Commas: 176/175, 351/350, 540/539, 1375/1372

[[POTE tuning|POTE generator]]: 735.126

Map: [<1 12 6 12 20 -11|, <0 -17 -6 -15 -27 24|]
EDOs: 31, 80, 111

17-limit
Commas: 176/175, 256/255, 351/350, 640/637, 715/714

[[POTE tuning|POTE generator]]: (~26/17) 735.125

Map: [<1 12 6 12 20 -11 -10|, <0 -17 -6 -15 -27 24 23|]
EDOs: 31, 80, 111

19-limit
Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323

[[POTE tuning|POTE generator]]: 735.116

Map: [<1 12 6 12 20 -11 -10 -8|, <0 -17 -6 -15 -27 24 23 20|]
EDOs: 31, 80, 111, 524

23-limit
Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459

[[POTE tuning|POTE generator]]: 435.106

Map: [<1 12 6 12 20 -11 -10 -8 18|, 
<0 -17 -6 -15 -27 24 23 20 -22|]
EDOs: 31, 80, 111, 302, 413

Original HTML content:

<html><head><title>Hemimean clan</title></head><body><!-- ws:start:WikiTextTocRule:14:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><a href="#Misty">Misty</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Mystic">Mystic</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Semisept">Semisept</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: -->
<!-- ws:end:WikiTextTocRule:22 --><br />
The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.<br />
<br />
Comma: 3136/3125<br />
<br />
No-threes <a class="wiki_link" href="/POTE%20tuning">POTE generator</a> (~28/25): 193.772<br />
<br />
Map: [&lt;1 0 0 -3|, &lt;0 0 2 5|]<br />
EDOs: <a class="wiki_link" href="/6edo">6</a>, <a class="wiki_link" href="/31edo">31</a>, 161, 353, 514, 867<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Misty"></a><!-- ws:end:WikiTextHeadingRule:0 -->Misty</h1>
Commas: 3136/3125, 5120/5103<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.021<br />
<br />
Map: [&lt;3 0 26 56|, &lt;0 1 -4 -10|]<br />
Wedgie: &lt;&lt;3 -12 -30 -26 -56 -36||<br />
EDOs: <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/99edo">99</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Misty-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
Commas: 441/440, 3136/3125, 4375/4356<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.210<br />
<br />
Map: [&lt;3 0 26 56 77|, &lt;0 1 -4 -10 -14|]<br />
EDOs: 12, 87, 99, 186<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Misty-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2>
Commas: 196/195, 352/351, 364/363, 635/624<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.303<br />
<br />
Map: [&lt;3 0 26 56 77 92|, &lt;0 1 -4 -10 -14 -17|]<br />
EDOs: 12, 87, 273<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Mystic"></a><!-- ws:end:WikiTextHeadingRule:6 -->Mystic</h1>
Commas: 325/324, 441/440, 896/891, 1001/1000<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.311<br />
<br />
Map: [&lt;3 0 26 56 77 -46|, &lt;0 1 -4 -10 -14 12|]<br />
EDOs: 12, 87, 273<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Mystic-17-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->17-limit</h2>
Commas: 196/195, 352/351, 364/363, 635/624<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.233<br />
<br />
Map: [&lt;3 0 26 56 77 92 -2|, &lt;0 1 -4 -10 -14 -17 3|]<br />
EDOs: 12, 87, 186<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Mystic-19-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->19-limit</h2>
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.253<br />
<br />
Map: [&lt;3 0 26 56 77 92 -2 8|, &lt;0 1 -4 -10 -14 -17 3 1|]<br />
EDOs: 12, 87, 186<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Semisept"></a><!-- ws:end:WikiTextHeadingRule:12 -->Semisept</h1>
Commas: 3136/3126, 1728/1715<br />
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<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~75/49) 735.155<br />
<br />
Map: [&lt;1 12 6 12|, &lt;0 -17 -6 -15|]<br />
Wedgie: &lt;&lt;17 6 15 -30 -24 18||<br />
EDOs: <a class="wiki_link" href="/18edo">18</a>, 31, <a class="wiki_link" href="/80edo">80</a>, 111<br />
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11-limit<br />
Commas: 176/175, 540/539, 1331/1323<br />
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<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~55/36) 735.125<br />
<br />
Map: [&lt;1 12 6 12 20|, &lt;0 -17 -6 -15 -27|]<br />
EDOs: 31, 80, 111<br />
<br />
13-limit<br />
Commas: 176/175, 351/350, 540/539, 1375/1372<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 735.126<br />
<br />
Map: [&lt;1 12 6 12 20 -11|, &lt;0 -17 -6 -15 -27 24|]<br />
EDOs: 31, 80, 111<br />
<br />
17-limit<br />
Commas: 176/175, 256/255, 351/350, 640/637, 715/714<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~26/17) 735.125<br />
<br />
Map: [&lt;1 12 6 12 20 -11 -10|, &lt;0 -17 -6 -15 -27 24 23|]<br />
EDOs: 31, 80, 111<br />
<br />
19-limit<br />
Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 735.116<br />
<br />
Map: [&lt;1 12 6 12 20 -11 -10 -8|, &lt;0 -17 -6 -15 -27 24 23 20|]<br />
EDOs: 31, 80, 111, 524<br />
<br />
23-limit<br />
Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 435.106<br />
<br />
Map: [&lt;1 12 6 12 20 -11 -10 -8 18|, <br />
&lt;0 -17 -6 -15 -27 24 23 20 -22|]<br />
EDOs: 31, 80, 111, 302, 413</body></html>