Avicennmic temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 277286616 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 299797032 - 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> | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-08 13:40:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>299797032</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"> | <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]] | ||
These temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis. Avicennmic temperaments include negri, flattone, hexadecimal, muggles, lemba and roman. | |||
=Roman= | |||
Commas: 525/512, 4000/3969 | Commas: 525/512, 4000/3969 | ||
| Line 18: | Line 20: | ||
Badness: 0.1134 | Badness: 0.1134 | ||
==11-limit== | |||
Commas: 100/99, 245/242, 1375/1344 | Commas: 100/99, 245/242, 1375/1344 | ||
| Line 27: | Line 29: | ||
Badness: 0.0528 | Badness: 0.0528 | ||
==13-limit== | |||
Commas: 65/64, 100/99, 105/104, 245/243 | Commas: 65/64, 100/99, 105/104, 245/243 | ||
| Line 36: | Line 38: | ||
Badness: 0.0300 | Badness: 0.0300 | ||
==17-limit== | |||
Commas: 35/34, 52/51, 100/99, 169/168, 275/273 | Commas: 35/34, 52/51, 100/99, 169/168, 275/273 | ||
| Line 45: | Line 47: | ||
Badness: 0.0416 | Badness: 0.0416 | ||
==19-limit== | |||
Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168 | Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168 | ||
| Line 53: | Line 55: | ||
EDOs: 26g, 29 | EDOs: 26g, 29 | ||
Badness: 0.0337 | Badness: 0.0337 | ||
=Secund= | |||
Commas: 405/392, 525/512 | |||
POTE generator: ~16/15 = 137.958 | |||
Map: [<1 1 3 2|, <0 5 -6 7|] | |||
Wedgie: <<5 -6 7 -21 -3 33|| | |||
EDOs: 9, 17, 26, 61bc, 87bc | |||
Badness: 0.0898 | |||
==11-limit== | |||
Commas: 45/44, 99/98, 385/384 | |||
POTE generator: ~12/11 = 137.900 | |||
Map: [<1 1 3 2 3|, <0 5 -6 7 4|] | |||
EDOs: 9, 17, 26, 61bc, 87bc | |||
Badness: 0.0426 | |||
==13-limit== | |||
Commas: 27/26, 45/44, 99/98, 385/384 | |||
POTE generator: ~12/11 = 136.937 | |||
Map: [<1 1 3 2 3 2|, <0 5 -6 7 4 15|] | |||
EDOs: 9, 26f, 35 | |||
Badness: 0.0497 | |||
</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>Avicennmic temperaments</title></head><body>These temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis. Avicennmic temperaments include negri, flattone, hexadecimal, muggles, lemba and roman.<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>Avicennmic temperaments</title></head><body><!-- ws:start:WikiTextTocRule:16:&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:16 --><!-- ws:start:WikiTextTocRule:17: --><a href="#Roman">Roman</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Secund">Secund</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | ||
<!-- ws:end:WikiTextTocRule:25 --><br /> | |||
These temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis. Avicennmic temperaments include negri, flattone, hexadecimal, muggles, lemba and roman.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Roman"></a><!-- ws:end:WikiTextHeadingRule:0 -->Roman</h1> | ||
Commas: 525/512, 4000/3969<br /> | Commas: 525/512, 4000/3969<br /> | ||
<br /> | <br /> | ||
| Line 67: | Line 99: | ||
Badness: 0.1134<br /> | Badness: 0.1134<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Roman-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> | ||
Commas: 100/99, 245/242, 1375/1344<br /> | Commas: 100/99, 245/242, 1375/1344<br /> | ||
<br /> | <br /> | ||
| Line 76: | Line 108: | ||
Badness: 0.0528<br /> | Badness: 0.0528<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Roman-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> | ||
Commas: 65/64, 100/99, 105/104, 245/243<br /> | Commas: 65/64, 100/99, 105/104, 245/243<br /> | ||
<br /> | <br /> | ||
| Line 85: | Line 117: | ||
Badness: 0.0300<br /> | Badness: 0.0300<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt; | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Roman-17-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->17-limit</h2> | ||
Commas: 35/34, 52/51, 100/99, 169/168, 275/273<br /> | Commas: 35/34, 52/51, 100/99, 169/168, 275/273<br /> | ||
<br /> | <br /> | ||
| Line 94: | Line 126: | ||
Badness: 0.0416<br /> | Badness: 0.0416<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt; | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Roman-19-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->19-limit</h2> | ||
Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168<br /> | Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168<br /> | ||
<br /> | <br /> | ||
| Line 101: | Line 133: | ||
Map: [&lt;1 4 3 -1 0 3 1 7|, &lt;0 -7 -2 11 10 2 9 -8|]<br /> | Map: [&lt;1 4 3 -1 0 3 1 7|, &lt;0 -7 -2 11 10 2 9 -8|]<br /> | ||
EDOs: 26g, 29<br /> | EDOs: 26g, 29<br /> | ||
Badness: 0.0337</body></html></pre></div> | Badness: 0.0337<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Secund"></a><!-- ws:end:WikiTextHeadingRule:10 -->Secund</h1> | |||
Commas: 405/392, 525/512<br /> | |||
<br /> | |||
POTE generator: ~16/15 = 137.958<br /> | |||
<br /> | |||
Map: [&lt;1 1 3 2|, &lt;0 5 -6 7|]<br /> | |||
Wedgie: &lt;&lt;5 -6 7 -21 -3 33||<br /> | |||
EDOs: 9, 17, 26, 61bc, 87bc<br /> | |||
Badness: 0.0898<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Secund-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2> | |||
Commas: 45/44, 99/98, 385/384<br /> | |||
<br /> | |||
POTE generator: ~12/11 = 137.900<br /> | |||
<br /> | |||
Map: [&lt;1 1 3 2 3|, &lt;0 5 -6 7 4|]<br /> | |||
EDOs: 9, 17, 26, 61bc, 87bc<br /> | |||
Badness: 0.0426<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Secund-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h2> | |||
Commas: 27/26, 45/44, 99/98, 385/384<br /> | |||
<br /> | |||
POTE generator: ~12/11 = 136.937<br /> | |||
<br /> | |||
Map: [&lt;1 1 3 2 3 2|, &lt;0 5 -6 7 4 15|]<br /> | |||
EDOs: 9, 26f, 35<br /> | |||
Badness: 0.0497</body></html></pre></div> | |||