Hemimean clan: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 397272172 - Original comment: ** |
Wikispaces>Gedankenwelt **Imported revision 494295216 - 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:Gedankenwelt|Gedankenwelt]] and made on <tt>2014-03-07 12:30:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>494295216</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 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. | 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. | ||
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EDOs: [[6edo|6]], [[12edo|12]], [[19edo|12]], [[31edo|31]], [[68edo|68]], [[80edo|80]], [[87edo|87]], [[99edo|99]], [[130edo|130]], [[217edo|217]], [[229edo|229]], [[328edo|328]], [[347edo|347]], [[446edo|446]], [[545edo|545c]], [[675edo|675]] | EDOs: [[6edo|6]], [[12edo|12]], [[19edo|12]], [[31edo|31]], [[68edo|68]], [[80edo|80]], [[87edo|87]], [[99edo|99]], [[130edo|130]], [[217edo|217]], [[229edo|229]], [[328edo|328]], [[347edo|347]], [[446edo|446]], [[545edo|545c]], [[675edo|675]] | ||
=Misty= | =Misty= | ||
Commas: 3136/3125, 5120/5103 | Commas: 3136/3125, 5120/5103 | ||
| Line 26: | Line 25: | ||
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 34: | Line 33: | ||
EDOs: 12, 87, 99e, 186e | EDOs: 12, 87, 99e, 186e | ||
==13-limit== | ==13-limit== | ||
Commas: 196/195, 352/351, 364/363, 625/624 | Commas: 196/195, 352/351, 364/363, 625/624 | ||
| Line 42: | Line 41: | ||
EDOs: 12, 87, 186ef, 273ef | EDOs: 12, 87, 186ef, 273ef | ||
=Mystic= | =Mystic= | ||
Commas: 325/324, 441/440, 896/891, 1001/1000 | Commas: 325/324, 441/440, 896/891, 1001/1000 | ||
| Line 50: | Line 49: | ||
EDOs: 12, 87, 186e, 273e, 633bde | EDOs: 12, 87, 186e, 273e, 633bde | ||
==17-limit== | ==17-limit== | ||
Commas: 196/195, 352/351, 364/363, 625/624 | Commas: 196/195, 352/351, 364/363, 625/624 | ||
| Line 58: | Line 57: | ||
EDOs: 87, 186ef, 273ef | EDOs: 87, 186ef, 273ef | ||
==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 66: | Line 65: | ||
EDOs: 46, 87, 133, 326de, 413degh | EDOs: 46, 87, 133, 326de, 413degh | ||
=Semisept= | =Semisept= | ||
Comma: 782757789696/762939453125 | Comma: 782757789696/762939453125 | ||
| Line 75: | Line 74: | ||
Badness: 0.6306 | Badness: 0.6306 | ||
==7-limit== | ==7-limit== | ||
Commas: 3136/ | Commas: 3136/3125, 1728/1715 | ||
[[POTE tuning|POTE generator]]: (~75/49) 735.155 | [[POTE tuning|POTE generator]]: (~75/49) 735.155 | ||
| Line 84: | Line 83: | ||
EDOs: [[18edo|18]], 31, [[80edo|80]], 111 | EDOs: [[18edo|18]], 31, [[80edo|80]], 111 | ||
==11-limit== | ==11-limit== | ||
Commas: 176/175, 540/539, 1331/1323 | Commas: 176/175, 540/539, 1331/1323 | ||
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Map: [<1 12 6 12 20|, <0 -17 -6 -15 -27|] | Map: [<1 12 6 12 20|, <0 -17 -6 -15 -27|] | ||
EDOs: | EDOs: 18e, 31, 80, 111, 364cd, | ||
Badness: 0.0225 | Badness: 0.0225 | ||
===Semishly=== | ===Semishly=== | ||
Commas: 144/143, 176/175, 196/195, 275/273 | Commas: 144/143, 176/175, 196/195, 275/273 | ||
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Badness: 0.0284 | Badness: 0.0284 | ||
==13-limit== | ==13-limit== | ||
Commas: 176/175, 351/350, 540/539, 1375/1372 | Commas: 176/175, 351/350, 540/539, 1375/1372 | ||
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Badness: 0.0252 | Badness: 0.0252 | ||
==17-limit== | ==17-limit== | ||
Commas: 176/175, 256/255, 351/350, 640/637, 715/714 | Commas: 176/175, 256/255, 351/350, 640/637, 715/714 | ||
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EDOs: 31, 80, 111 | EDOs: 31, 80, 111 | ||
==19-limit== | ==19-limit== | ||
Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323 | Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323 | ||
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EDOs: 31, 80, 111 | EDOs: 31, 80, 111 | ||
==23-limit== | ==23-limit== | ||
Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459 | Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459 | ||
[[POTE tuning|POTE generator]]: 435.106 | [[POTE tuning|POTE generator]]: 435.106 | ||
Map: [<1 12 6 12 20 -11 -10 -8 18|, | Map: [<1 12 6 12 20 -11 -10 -8 18|, | ||
<0 -17 -6 -15 -27 24 23 20 -22|] | <0 -17 -6 -15 -27 24 23 20 -22|] | ||
EDOs: 31, 80, 111, 191cdh, 302cdgh | EDOs: 31, 80, 111, 191cdh, 302cdgh | ||
=Sengagen= | =Sengagen= | ||
Commas: 3136/3125, 420175/419904 | Commas: 3136/3125, 420175/419904 | ||
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Badness: 0.0580 | Badness: 0.0580 | ||
=Subpental= | =Subpental= | ||
Commas: 3136/3125, 19683/19600 | Commas: 3136/3125, 19683/19600 | ||
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Badness: 0.0543 | Badness: 0.0543 | ||
==11-limit== | ==11-limit== | ||
Commas: 540/539, 3136/3125, 8019/8000 | Commas: 540/539, 3136/3125, 8019/8000 | ||
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Badness: 0.0453 | Badness: 0.0453 | ||
==13-limit== | ==13-limit== | ||
Commas: 351/350, 540/539, 676/675, 3136/3125 | Commas: 351/350, 540/539, 676/675, 3136/3125 | ||
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Badness: 0.0239 | Badness: 0.0239 | ||
=Arch= | =Arch= | ||
Commas: 3136/3125, 5250987/5242880 | Commas: 3136/3125, 5250987/5242880 | ||
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Badness: 0.0943 | Badness: 0.0943 | ||
==11-limit== | ==11-limit== | ||
Commas: 441/440, 3136/3125, 4000/3993 | Commas: 441/440, 3136/3125, 4000/3993 | ||
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Badness: 0.0365 | Badness: 0.0365 | ||
==13-limit== | ==13-limit== | ||
Commas: 364/363, 441/440, 676/675, 3136/3125 | Commas: 364/363, 441/440, 676/675, 3136/3125 | ||
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Badness: 0.0195 | Badness: 0.0195 | ||
=Emka= | =Emka= | ||
Commas: 3136/3125, 84035/82944 | Commas: 3136/3125, 84035/82944 | ||
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Badness: 0.1443 | Badness: 0.1443 | ||
==11-limit== | ==11-limit== | ||
Commas: 385/384, 2401/2376, 3136/3125 | Commas: 385/384, 2401/2376, 3136/3125 | ||
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Badness: 0.0547 | Badness: 0.0547 | ||
==13-limit== | ==13-limit== | ||
Commas: 196/195, 364/363, 385/384, 625/624 | Commas: 196/195, 364/363, 385/384, 625/624 | ||
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Map: [<1 14 6 12 3 6|, <0 -27 -8 -20 1 -5|] | Map: [<1 14 6 12 3 6|, <0 -27 -8 -20 1 -5|] | ||
EDOs: 37, 50, 87, 224d, 311d, 398d | EDOs: 37, 50, 87, 224d, 311d, 398d | ||
Badness: 0.0297 | Badness: 0.0297</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"><html><head><title>Hemimean clan</title></head><body><!-- ws:start:WikiTextTocRule:48:&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:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 1em;"><a href="#Misty">Misty</a></div> | <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:48:&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:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 1em;"><a href="#Misty">Misty</a></div> | ||
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<!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><div style="margin-left: 2em;"><a href="#Emka-13-limit">13-limit</a></div> | <!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><div style="margin-left: 2em;"><a href="#Emka-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --></div> | <!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --></div> | ||
<!-- ws:end:WikiTextTocRule:73 --> | <!-- ws:end:WikiTextTocRule:73 -->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 /> | ||
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 /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Misty"></a><!-- ws:end:WikiTextHeadingRule:0 -->Misty</h1> | <!-- 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 /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.021<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.021<br /> | ||
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<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> | <!-- 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 /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.210<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.210<br /> | ||
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<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> | <!-- 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, 625/624<br /> | Commas: 196/195, 352/351, 364/363, 625/624<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.303<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.303<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Mystic"></a><!-- ws:end:WikiTextHeadingRule:6 -->Mystic</h1> | <!-- 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 /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.311<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.311<br /> | ||
| Line 301: | Line 296: | ||
<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> | <!-- 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, 625/624<br /> | Commas: 196/195, 352/351, 364/363, 625/624<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.233<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.233<br /> | ||
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<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> | <!-- 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 /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.253<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.253<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Semisept"></a><!-- ws:end:WikiTextHeadingRule:12 -->Semisept</h1> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Semisept"></a><!-- ws:end:WikiTextHeadingRule:12 -->Semisept</h1> | ||
Comma: 782757789696/762939453125<br /> | Comma: 782757789696/762939453125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~192/125 = 735.146<br /> | POTE generator: ~192/125 = 735.146<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Semisept-7-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Semisept-7-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->7-limit</h2> | ||
Commas: 3136/ | Commas: 3136/3125, 1728/1715<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~75/49) 735.155<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~75/49) 735.155<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Semisept-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Semisept-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> | ||
Commas: 176/175, 540/539, 1331/1323<br /> | Commas: 176/175, 540/539, 1331/1323<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~55/36) 735.125<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~55/36) 735.125<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 12 6 12 20|, &lt;0 -17 -6 -15 -27|]<br /> | Map: [&lt;1 12 6 12 20|, &lt;0 -17 -6 -15 -27|]<br /> | ||
EDOs: | EDOs: 18e, 31, 80, 111, 364cd,<br /> | ||
Badness: 0.0225<br /> | Badness: 0.0225<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="Semisept-11-limit-Semishly"></a><!-- ws:end:WikiTextHeadingRule:18 -->Semishly</h3> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="Semisept-11-limit-Semishly"></a><!-- ws:end:WikiTextHeadingRule:18 -->Semishly</h3> | ||
Commas: 144/143, 176/175, 196/195, 275/273<br /> | Commas: 144/143, 176/175, 196/195, 275/273<br /> | ||
<br /> | <br /> | ||
POTE generator: ~13/10 = 464.980<br /> | POTE generator: ~13/10 = 464.980<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Semisept-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Semisept-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2> | ||
Commas: 176/175, 351/350, 540/539, 1375/1372<br /> | Commas: 176/175, 351/350, 540/539, 1375/1372<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 735.126<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 735.126<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Semisept-17-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->17-limit</h2> | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Semisept-17-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->17-limit</h2> | ||
Commas: 176/175, 256/255, 351/350, 640/637, 715/714<br /> | Commas: 176/175, 256/255, 351/350, 640/637, 715/714<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~26/17) 735.125<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~26/17) 735.125<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Semisept-19-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->19-limit</h2> | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Semisept-19-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->19-limit</h2> | ||
Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323<br /> | Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 735.116<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 735.116<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Semisept-23-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->23-limit</h2> | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Semisept-23-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->23-limit</h2> | ||
Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459<br /> | Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 435.106<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 435.106<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 12 6 12 20 -11 -10 -8 18|, <br /> | Map: [&lt;1 12 6 12 20 -11 -10 -8 18|,<br /> | ||
&lt;0 -17 -6 -15 -27 24 23 20 -22|]<br /> | &lt;0 -17 -6 -15 -27 24 23 20 -22|]<br /> | ||
EDOs: 31, 80, 111, 191cdh, 302cdgh<br /> | EDOs: 31, 80, 111, 191cdh, 302cdgh<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Sengagen"></a><!-- ws:end:WikiTextHeadingRule:28 -->Sengagen</h1> | <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Sengagen"></a><!-- ws:end:WikiTextHeadingRule:28 -->Sengagen</h1> | ||
Commas: 3136/3125, 420175/419904<br /> | Commas: 3136/3125, 420175/419904<br /> | ||
<br /> | <br /> | ||
POTE generator: ~686/675 = 24.217<br /> | POTE generator: ~686/675 = 24.217<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Subpental"></a><!-- ws:end:WikiTextHeadingRule:30 -->Subpental</h1> | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Subpental"></a><!-- ws:end:WikiTextHeadingRule:30 -->Subpental</h1> | ||
Commas: 3136/3125, 19683/19600<br /> | Commas: 3136/3125, 19683/19600<br /> | ||
<br /> | <br /> | ||
POTE generator: ~56/45 = 378.467<br /> | POTE generator: ~56/45 = 378.467<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Subpental-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Subpental-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2> | ||
Commas: 540/539, 3136/3125, 8019/8000<br /> | Commas: 540/539, 3136/3125, 8019/8000<br /> | ||
<br /> | <br /> | ||
POTE generator: ~56/45 = 378.440<br /> | POTE generator: ~56/45 = 378.440<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Subpental-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Subpental-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2> | ||
Commas: 351/350, 540/539, 676/675, 3136/3125<br /> | Commas: 351/350, 540/539, 676/675, 3136/3125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~56/45 = 378.437<br /> | POTE generator: ~56/45 = 378.437<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Arch"></a><!-- ws:end:WikiTextHeadingRule:36 -->Arch</h1> | <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Arch"></a><!-- ws:end:WikiTextHeadingRule:36 -->Arch</h1> | ||
Commas: 3136/3125, 5250987/5242880<br /> | Commas: 3136/3125, 5250987/5242880<br /> | ||
<br /> | <br /> | ||
POTE generator: ~64/63 = 27.668<br /> | POTE generator: ~64/63 = 27.668<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Arch-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Arch-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2> | ||
Commas: 441/440, 3136/3125, 4000/3993<br /> | Commas: 441/440, 3136/3125, 4000/3993<br /> | ||
<br /> | <br /> | ||
POTE generator: ~64/63 = 27.663<br /> | POTE generator: ~64/63 = 27.663<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Arch-13-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Arch-13-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->13-limit</h2> | ||
Commas: 364/363, 441/440, 676/675, 3136/3125<br /> | Commas: 364/363, 441/440, 676/675, 3136/3125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~64/63 = 27.660<br /> | POTE generator: ~64/63 = 27.660<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Emka"></a><!-- ws:end:WikiTextHeadingRule:42 -->Emka</h1> | <!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Emka"></a><!-- ws:end:WikiTextHeadingRule:42 -->Emka</h1> | ||
Commas: 3136/3125, 84035/82944<br /> | Commas: 3136/3125, 84035/82944<br /> | ||
<br /> | <br /> | ||
POTE generator: ~48/35 = 551.782<br /> | POTE generator: ~48/35 = 551.782<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Emka-11-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Emka-11-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->11-limit</h2> | ||
Commas: 385/384, 2401/2376, 3136/3125<br /> | Commas: 385/384, 2401/2376, 3136/3125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~11/8 = 551.765<br /> | POTE generator: ~11/8 = 551.765<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Emka-13-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Emka-13-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->13-limit</h2> | ||
Commas: 196/195, 364/363, 385/384, 625/624<br /> | Commas: 196/195, 364/363, 385/384, 625/624<br /> | ||
<br /> | <br /> | ||
POTE generator: ~11/8 = 551.758<br /> | POTE generator: ~11/8 = 551.758<br /> | ||
Revision as of 12:30, 7 March 2014
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Gedankenwelt and made on 2014-03-07 12:30:13 UTC.
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Original Wikitext content:
[[toc]] 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]], [[12edo|12]], [[19edo|12]], [[31edo|31]], [[68edo|68]], [[80edo|80]], [[87edo|87]], [[99edo|99]], [[130edo|130]], [[217edo|217]], [[229edo|229]], [[328edo|328]], [[347edo|347]], [[446edo|446]], [[545edo|545c]], [[675edo|675]] =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, 99e, 186e ==13-limit== Commas: 196/195, 352/351, 364/363, 625/624 [[POTE tuning|POTE generator]]: 703.303 Map: [<3 0 26 56 77 92|, <0 1 -4 -10 -14 -17|] EDOs: 12, 87, 186ef, 273ef =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, 186e, 273e, 633bde ==17-limit== Commas: 196/195, 352/351, 364/363, 625/624 [[POTE tuning|POTE generator]]: 703.233 Map: [<3 0 26 56 77 92 -2|, <0 1 -4 -10 -14 -17 3|] EDOs: 87, 186ef, 273ef ==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: 46, 87, 133, 326de, 413degh =Semisept= Comma: 782757789696/762939453125 POTE generator: ~192/125 = 735.146 Map: [<1 12 6|, <0 -17 -6|] EDOs: 18, 31, 80, 111 Badness: 0.6306 ==7-limit== Commas: 3136/3125, 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: 18e, 31, 80, 111, 364cd, Badness: 0.0225 ===Semishly=== Commas: 144/143, 176/175, 196/195, 275/273 POTE generator: ~13/10 = 464.980 Map: [<1 12 6 12 20 8|, <0 -17 -6 -15 -27 -7|] EDOs: 31, 49f, 80f Badness: 0.0284 ==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 Badness: 0.0252 ==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 ==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, 191cdh, 302cdgh =Sengagen= Commas: 3136/3125, 420175/419904 POTE generator: ~686/675 = 24.217 Map: [<1 1 2 2|, <0 29 16 40|] Wedgie: <<29 16 40 -42 -18 48|| EDOs: 49, 50, 99, 248, 347, 446 Badness: 0.0580 =Subpental= Commas: 3136/3125, 19683/19600 POTE generator: ~56/45 = 378.467 Map: [<1 6 8 17|, <0 -14 -18 -45|] Wedgie: <<14 18 45 -4 32 54|| EDOs: 19, 111, 130, 929c, 1059c, 1189bc, 1319bc Badness: 0.0543 ==11-limit== Commas: 540/539, 3136/3125, 8019/8000 POTE generator: ~56/45 = 378.440 Map: [<1 6 8 17 -6|, <0 -14 -18 -45 30|] EDOs: 19, 111, 130, 241, 371ce, 501cde, 872cde Badness: 0.0453 ==13-limit== Commas: 351/350, 540/539, 676/675, 3136/3125 POTE generator: ~56/45 = 378.437 Map: [<1 6 8 17 -6 16|, <0 -14 -18 -45 30 -39|] EDOs: 19, 111, 130, 241, 371ce Badness: 0.0239 =Arch= Commas: 3136/3125, 5250987/5242880 POTE generator: ~64/63 = 27.668 Map: [<1 2 2 2|, <0 -18 14 35|] Wedgie: <<18 -14 -35 -64 -106 -42|| EDOs: 43, 87, 130, 217, 347, 824c, 1171c, 1518cd Badness: 0.0943 ==11-limit== Commas: 441/440, 3136/3125, 4000/3993 POTE generator: ~64/63 = 27.663 Map: [<1 2 2 2 3|, <0 -18 14 35 20|] EDOs: 43, 87, 130, 217, 347e, 911cde Badness: 0.0365 ==13-limit== Commas: 364/363, 441/440, 676/675, 3136/3125 POTE generator: ~64/63 = 27.660 Map: [<1 2 2 2 3 4|, <0 -18 14 35 20 -13|] EDOs: 43, 87, 130, 217, 347e, 564e Badness: 0.0195 =Emka= Commas: 3136/3125, 84035/82944 POTE generator: ~48/35 = 551.782 Map: [<1 14 6 12|, <0 -27 -8 -20|] EDOs: 37, 50, 87, 137d, 224d Badness: 0.1443 ==11-limit== Commas: 385/384, 2401/2376, 3136/3125 POTE generator: ~11/8 = 551.765 Map: [<1 14 6 12 3|, <0 -27 -8 -20 1|] EDOs: 37, 50, 87, 224d, 311d Badness: 0.0547 ==13-limit== Commas: 196/195, 364/363, 385/384, 625/624 POTE generator: ~11/8 = 551.758 Map: [<1 14 6 12 3 6|, <0 -27 -8 -20 1 -5|] EDOs: 37, 50, 87, 224d, 311d, 398d Badness: 0.0297
Original HTML content:
<html><head><title>Hemimean clan</title></head><body><!-- ws:start:WikiTextTocRule:48:<img id="wikitext@@toc@@normal" class="WikiMedia WikiMediaToc" title="Table of Contents" src="/site/embedthumbnail/toc/normal?w=225&h=100"/> --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 1em;"><a href="#Misty">Misty</a></div> <!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 2em;"><a href="#Misty-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 2em;"><a href="#Misty-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><div style="margin-left: 1em;"><a href="#Mystic">Mystic</a></div> <!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 2em;"><a href="#Mystic-17-limit">17-limit</a></div> <!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 2em;"><a href="#Mystic-19-limit">19-limit</a></div> <!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><div style="margin-left: 1em;"><a href="#Semisept">Semisept</a></div> <!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><div style="margin-left: 2em;"><a href="#Semisept-7-limit">7-limit</a></div> <!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 2em;"><a href="#Semisept-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><div style="margin-left: 3em;"><a href="#Semisept-11-limit-Semishly">Semishly</a></div> <!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><div style="margin-left: 2em;"><a href="#Semisept-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><div style="margin-left: 2em;"><a href="#Semisept-17-limit">17-limit</a></div> <!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 2em;"><a href="#Semisept-19-limit">19-limit</a></div> <!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 2em;"><a href="#Semisept-23-limit">23-limit</a></div> <!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 1em;"><a href="#Sengagen">Sengagen</a></div> <!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><div style="margin-left: 1em;"><a href="#Subpental">Subpental</a></div> <!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><div style="margin-left: 2em;"><a href="#Subpental-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><div style="margin-left: 2em;"><a href="#Subpental-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><div style="margin-left: 1em;"><a href="#Arch">Arch</a></div> <!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><div style="margin-left: 2em;"><a href="#Arch-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><div style="margin-left: 2em;"><a href="#Arch-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><div style="margin-left: 1em;"><a href="#Emka">Emka</a></div> <!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><div style="margin-left: 2em;"><a href="#Emka-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><div style="margin-left: 2em;"><a href="#Emka-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --></div> <!-- ws:end:WikiTextTocRule:73 -->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="/12edo">12</a>, <a class="wiki_link" href="/19edo">12</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/68edo">68</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/99edo">99</a>, <a class="wiki_link" href="/130edo">130</a>, <a class="wiki_link" href="/217edo">217</a>, <a class="wiki_link" href="/229edo">229</a>, <a class="wiki_link" href="/328edo">328</a>, <a class="wiki_link" href="/347edo">347</a>, <a class="wiki_link" href="/446edo">446</a>, <a class="wiki_link" href="/545edo">545c</a>, <a class="wiki_link" href="/675edo">675</a><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, 99e, 186e<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, 625/624<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, 186ef, 273ef<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, 186e, 273e, 633bde<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, 625/624<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: 87, 186ef, 273ef<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: 46, 87, 133, 326de, 413degh<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Semisept"></a><!-- ws:end:WikiTextHeadingRule:12 -->Semisept</h1> Comma: 782757789696/762939453125<br /> <br /> POTE generator: ~192/125 = 735.146<br /> <br /> Map: [<1 12 6|, <0 -17 -6|]<br /> EDOs: 18, 31, 80, 111<br /> Badness: 0.6306<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Semisept-7-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->7-limit</h2> Commas: 3136/3125, 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 /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Semisept-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> 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: 18e, 31, 80, 111, 364cd,<br /> Badness: 0.0225<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h3> --><h3 id="toc9"><a name="Semisept-11-limit-Semishly"></a><!-- ws:end:WikiTextHeadingRule:18 -->Semishly</h3> Commas: 144/143, 176/175, 196/195, 275/273<br /> <br /> POTE generator: ~13/10 = 464.980<br /> <br /> Map: [<1 12 6 12 20 8|, <0 -17 -6 -15 -27 -7|]<br /> EDOs: 31, 49f, 80f<br /> Badness: 0.0284<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h2> --><h2 id="toc10"><a name="Semisept-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2> 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 /> Badness: 0.0252<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h2> --><h2 id="toc11"><a name="Semisept-17-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->17-limit</h2> 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 /> <!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="Semisept-19-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->19-limit</h2> 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<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h2> --><h2 id="toc13"><a name="Semisept-23-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->23-limit</h2> 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, 191cdh, 302cdgh<br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h1> --><h1 id="toc14"><a name="Sengagen"></a><!-- ws:end:WikiTextHeadingRule:28 -->Sengagen</h1> Commas: 3136/3125, 420175/419904<br /> <br /> POTE generator: ~686/675 = 24.217<br /> <br /> Map: [<1 1 2 2|, <0 29 16 40|]<br /> Wedgie: <<29 16 40 -42 -18 48||<br /> EDOs: 49, 50, 99, 248, 347, 446<br /> Badness: 0.0580<br /> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h1> --><h1 id="toc15"><a name="Subpental"></a><!-- ws:end:WikiTextHeadingRule:30 -->Subpental</h1> Commas: 3136/3125, 19683/19600<br /> <br /> POTE generator: ~56/45 = 378.467<br /> <br /> Map: [<1 6 8 17|, <0 -14 -18 -45|]<br /> Wedgie: <<14 18 45 -4 32 54||<br /> EDOs: 19, 111, 130, 929c, 1059c, 1189bc, 1319bc<br /> Badness: 0.0543<br /> <br /> <!-- ws:start:WikiTextHeadingRule:32:<h2> --><h2 id="toc16"><a name="Subpental-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2> Commas: 540/539, 3136/3125, 8019/8000<br /> <br /> POTE generator: ~56/45 = 378.440<br /> <br /> Map: [<1 6 8 17 -6|, <0 -14 -18 -45 30|]<br /> EDOs: 19, 111, 130, 241, 371ce, 501cde, 872cde<br /> Badness: 0.0453<br /> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h2> --><h2 id="toc17"><a name="Subpental-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2> Commas: 351/350, 540/539, 676/675, 3136/3125<br /> <br /> POTE generator: ~56/45 = 378.437<br /> <br /> Map: [<1 6 8 17 -6 16|, <0 -14 -18 -45 30 -39|]<br /> EDOs: 19, 111, 130, 241, 371ce<br /> Badness: 0.0239<br /> <br /> <!-- ws:start:WikiTextHeadingRule:36:<h1> --><h1 id="toc18"><a name="Arch"></a><!-- ws:end:WikiTextHeadingRule:36 -->Arch</h1> Commas: 3136/3125, 5250987/5242880<br /> <br /> POTE generator: ~64/63 = 27.668<br /> <br /> Map: [<1 2 2 2|, <0 -18 14 35|]<br /> Wedgie: <<18 -14 -35 -64 -106 -42||<br /> EDOs: 43, 87, 130, 217, 347, 824c, 1171c, 1518cd<br /> Badness: 0.0943<br /> <br /> <!-- ws:start:WikiTextHeadingRule:38:<h2> --><h2 id="toc19"><a name="Arch-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2> Commas: 441/440, 3136/3125, 4000/3993<br /> <br /> POTE generator: ~64/63 = 27.663<br /> <br /> Map: [<1 2 2 2 3|, <0 -18 14 35 20|]<br /> EDOs: 43, 87, 130, 217, 347e, 911cde<br /> Badness: 0.0365<br /> <br /> <!-- ws:start:WikiTextHeadingRule:40:<h2> --><h2 id="toc20"><a name="Arch-13-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->13-limit</h2> Commas: 364/363, 441/440, 676/675, 3136/3125<br /> <br /> POTE generator: ~64/63 = 27.660<br /> <br /> Map: [<1 2 2 2 3 4|, <0 -18 14 35 20 -13|]<br /> EDOs: 43, 87, 130, 217, 347e, 564e<br /> Badness: 0.0195<br /> <br /> <!-- ws:start:WikiTextHeadingRule:42:<h1> --><h1 id="toc21"><a name="Emka"></a><!-- ws:end:WikiTextHeadingRule:42 -->Emka</h1> Commas: 3136/3125, 84035/82944<br /> <br /> POTE generator: ~48/35 = 551.782<br /> <br /> Map: [<1 14 6 12|, <0 -27 -8 -20|]<br /> EDOs: 37, 50, 87, 137d, 224d<br /> Badness: 0.1443<br /> <br /> <!-- ws:start:WikiTextHeadingRule:44:<h2> --><h2 id="toc22"><a name="Emka-11-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->11-limit</h2> Commas: 385/384, 2401/2376, 3136/3125<br /> <br /> POTE generator: ~11/8 = 551.765<br /> <br /> Map: [<1 14 6 12 3|, <0 -27 -8 -20 1|]<br /> EDOs: 37, 50, 87, 224d, 311d<br /> Badness: 0.0547<br /> <br /> <!-- ws:start:WikiTextHeadingRule:46:<h2> --><h2 id="toc23"><a name="Emka-13-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->13-limit</h2> Commas: 196/195, 364/363, 385/384, 625/624<br /> <br /> POTE generator: ~11/8 = 551.758<br /> <br /> Map: [<1 14 6 12 3 6|, <0 -27 -8 -20 1 -5|]<br /> EDOs: 37, 50, 87, 224d, 311d, 398d<br /> Badness: 0.0297</body></html>