Hemimean clan: Difference between revisions

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**Imported revision 190321842 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 190322490 - 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>2010-12-30 20:39:16 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-30 20:47:53 UTC</tt>.<br>
: The original revision id was <tt>190321842</tt>.<br>
: The original revision id was <tt>190322490</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>
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===19-limit===
===19-limit===
Commas: 210/209, 273/272, 286/285, 324/323, 325/323, 1445/1444
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324


[[POTE tuning|POTE generator]]: 703.253
[[POTE tuning|POTE generator]]: 703.253
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&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;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;
Commas: 210/209, 273/272, 286/285, 324/323, 325/323, 1445/1444&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;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.253&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.253&lt;br /&gt;

Revision as of 20:47, 30 December 2010

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author genewardsmith and made on 2010-12-30 20:47:53 UTC.
The original revision id was 190322490.
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:

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, luna, 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: 6, 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: 12, 87, 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: 18, 31, 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>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, luna, 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: 6, 31, 161, 353, 514, 867<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Misty"></a><!-- ws:end:WikiTextHeadingRule:0 -->Misty</h2>
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: 12, 87, 99<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Misty-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h3>
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;h3&gt; --><h3 id="toc2"><a name="x-Misty-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h3>
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;h4&gt; --><h4 id="toc3"><a name="x-Misty-13-limit-Mystic"></a><!-- ws:end:WikiTextHeadingRule:6 -->Mystic</h4>
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;h3&gt; --><h3 id="toc4"><a name="x-Misty-17-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->17-limit</h3>
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;h3&gt; --><h3 id="toc5"><a name="x-Misty-19-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->19-limit</h3>
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;h2&gt; --><h2 id="toc6"><a name="x-Semisept"></a><!-- ws:end:WikiTextHeadingRule:12 -->Semisept</h2>
Commas: 3136/3126, 1728/1715<br />
<br />
<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: 18, 31, 80, 111<br />
<br />
11-limit<br />
Commas: 176/175, 540/539, 1331/1323<br />
<br />
<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>