Hemimean clan: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 246932283 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 247386219 - 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: | : 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> | : 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= | |||
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== | |||
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== | |||
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= | |||
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== | |||
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== | |||
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= | |||
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"><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, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>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 /> | <br /> | ||
Comma: 3136/3125<br /> | Comma: 3136/3125<br /> | ||
| Line 123: | Line 127: | ||
EDOs: <a class="wiki_link" href="/6edo">6</a>, <a class="wiki_link" href="/31edo">31</a>, 161, 353, 514, 867<br /> | EDOs: <a class="wiki_link" href="/6edo">6</a>, <a class="wiki_link" href="/31edo">31</a>, 161, 353, 514, 867<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- 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 /> | Commas: 3136/3125, 5120/5103<br /> | ||
<br /> | <br /> | ||
| Line 132: | Line 136: | ||
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 /> | 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 /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- 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 /> | Commas: 441/440, 3136/3125, 4375/4356<br /> | ||
<br /> | <br /> | ||
| Line 140: | Line 144: | ||
EDOs: 12, 87, 99, 186<br /> | EDOs: 12, 87, 99, 186<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | <!-- 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 /> | Commas: 196/195, 352/351, 364/363, 635/624<br /> | ||
<br /> | <br /> | ||
| Line 148: | Line 152: | ||
EDOs: 12, 87, 273<br /> | EDOs: 12, 87, 273<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt; | <!-- 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 /> | Commas: 325/324, 441/440, 896/891, 1001/1000<br /> | ||
<br /> | <br /> | ||
| Line 156: | Line 160: | ||
EDOs: 12, 87, 273<br /> | EDOs: 12, 87, 273<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt; | <!-- 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 /> | Commas: 196/195, 352/351, 364/363, 635/624<br /> | ||
<br /> | <br /> | ||
| Line 164: | Line 168: | ||
EDOs: 12, 87, 186<br /> | EDOs: 12, 87, 186<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt; | <!-- 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 /> | Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324<br /> | ||
<br /> | <br /> | ||
| Line 172: | Line 176: | ||
EDOs: 12, 87, 186<br /> | EDOs: 12, 87, 186<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt; | <!-- 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 /> | Commas: 3136/3126, 1728/1715<br /> | ||
<br /> | <br /> | ||
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:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- 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: [<1 0 0 -3|, <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:<h1> --><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: [<3 0 26 56|, <0 1 -4 -10|]<br /> Wedgie: <<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:<h2> --><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: [<3 0 26 56 77|, <0 1 -4 -10 -14|]<br /> EDOs: 12, 87, 99, 186<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><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: [<3 0 26 56 77 92|, <0 1 -4 -10 -14 -17|]<br /> EDOs: 12, 87, 273<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><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: [<3 0 26 56 77 -46|, <0 1 -4 -10 -14 12|]<br /> EDOs: 12, 87, 273<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><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: [<3 0 26 56 77 92 -2|, <0 1 -4 -10 -14 -17 3|]<br /> EDOs: 12, 87, 186<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><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: [<3 0 26 56 77 92 -2 8|, <0 1 -4 -10 -14 -17 3 1|]<br /> EDOs: 12, 87, 186<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Semisept"></a><!-- ws:end:WikiTextHeadingRule:12 -->Semisept</h1> Commas: 3136/3126, 1728/1715<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~75/49) 735.155<br /> <br /> Map: [<1 12 6 12|, <0 -17 -6 -15|]<br /> Wedgie: <<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 /> <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: [<1 12 6 12 20|, <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: [<1 12 6 12 20 -11|, <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: [<1 12 6 12 20 -11 -10|, <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: [<1 12 6 12 20 -11 -10 -8|, <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: [<1 12 6 12 20 -11 -10 -8 18|, <br /> <0 -17 -6 -15 -27 24 23 20 -22|]<br /> EDOs: 31, 80, 111, 302, 413</body></html>