Avicennmic temperaments: Difference between revisions

Wikispaces>xenwolf
**Imported revision 592575618 - Original comment: added links to edo pages**
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-09-19 03:01:03 UTC</tt>.<br>
: The original revision id was <tt>592575618</tt>.<br>
: The revision comment was: <tt>added links to edo pages</tt><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>
<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.
These temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis. Avicennmic temperaments include negri, flattone, hexadecimal, muggles, lemba and roman.


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Commas: 525/512, 4000/3969
Commas: 525/512, 4000/3969


[[POTE tuning|POTE generator]]: ~63/50 = 414.552
[[POTE_tuning|POTE generator]]: ~63/50 = 414.552


Map: [&lt;1 4 3 -1|, &lt;0 -7 -2 11|]
Map: [&lt;1 4 3 -1|, &lt;0 -7 -2 11|]
Wedgie: &lt;&lt;7 2 -11 -13 -37 -31||
Wedgie: &lt;&lt;7 2 -11 -13 -37 -31||
EDOs: [[23edo|23]], [[26edo|26]], [[29edo|29]], [[55edo|55c]]
EDOs: [[23edo|23]], [[26edo|26]], [[29edo|29]], [[55edo|55c]]
Badness: 0.1134
Badness: 0.1134


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Commas: 100/99, 245/242, 1375/1344
Commas: 100/99, 245/242, 1375/1344


[[POTE tuning|POTE generator]]: ~14/11 = 414.471
[[POTE_tuning|POTE generator]]: ~14/11 = 414.471


Map: [&lt;1 4 3 -1 0|, &lt;0 -7 -2 11 10|]
Map: [&lt;1 4 3 -1 0|, &lt;0 -7 -2 11 10|]
EDOs: 23, 26, 29, 55c
EDOs: 23, 26, 29, 55c
Badness: 0.0528
Badness: 0.0528


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Commas: 65/64, 100/99, 105/104, 245/243
Commas: 65/64, 100/99, 105/104, 245/243


[[POTE tuning|POTE generator]]: ~14/11 = 414.472
[[POTE_tuning|POTE generator]]: ~14/11 = 414.472


Map: [&lt;1 4 3 -1 0 3|, &lt;0 -7 -2 11 10 2|]
Map: [&lt;1 4 3 -1 0 3|, &lt;0 -7 -2 11 10 2|]
EDOs: 23, 26, 29, 55
EDOs: 23, 26, 29, 55
Badness: 0.0300
Badness: 0.0300


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Commas: 35/34, 52/51, 100/99, 169/168, 275/273
Commas: 35/34, 52/51, 100/99, 169/168, 275/273


[[POTE tuning|POTE generator]]: ~14/11 = 414.164
[[POTE_tuning|POTE generator]]: ~14/11 = 414.164


Map: [&lt;1 4 3 -1 0 3 1|, &lt;0 -7 -2 11 10 2 9|]
Map: [&lt;1 4 3 -1 0 3 1|, &lt;0 -7 -2 11 10 2 9|]
EDOs: 26, 29, [[84edo|84]], [[113edo|113]]
EDOs: 26, 29, [[84edo|84]], [[113edo|113]]
Badness: 0.0416
Badness: 0.0416


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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


[[POTE tuning|POTE generator]]: ~14/11 = 414.130
[[POTE_tuning|POTE generator]]: ~14/11 = 414.130


Map: [&lt;1 4 3 -1 0 3 1 7|, &lt;0 -7 -2 11 10 2 9 -8|]
Map: [&lt;1 4 3 -1 0 3 1 7|, &lt;0 -7 -2 11 10 2 9 -8|]
EDOs: 26g, 29
EDOs: 26g, 29
Badness: 0.0337
Badness: 0.0337


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Map: [&lt;1 1 3 2|, &lt;0 5 -6 7|]
Map: [&lt;1 1 3 2|, &lt;0 5 -6 7|]
Wedgie: &lt;&lt;5 -6 7 -21 -3 33||
Wedgie: &lt;&lt;5 -6 7 -21 -3 33||
EDOs: [[9edo|9]], [[17edo|17]], 26, [[61edo|61bc]], [[87edo|87bc]]
EDOs: [[9edo|9]], [[17edo|17]], 26, [[61edo|61bc]], [[87edo|87bc]]
Badness: 0.0898
Badness: 0.0898


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Map: [&lt;1 1 3 2 3|, &lt;0 5 -6 7 4|]
Map: [&lt;1 1 3 2 3|, &lt;0 5 -6 7 4|]
EDOs: 9, 17, 26, 61bc, 87bc
EDOs: 9, 17, 26, 61bc, 87bc
Badness: 0.0426
Badness: 0.0426


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Map: [&lt;1 1 3 2 3 2|, &lt;0 5 -6 7 4 15|]
Map: [&lt;1 1 3 2 3 2|, &lt;0 5 -6 7 4 15|]
EDOs: 9, 26f, [[35edo|35]]
EDOs: 9, 26f, [[35edo|35]]
Badness: 0.0497
Badness: 0.0497


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Map: [&lt;1 1 3 2 3 3|, &lt;0 5 -6 7 4 6|]
Map: [&lt;1 1 3 2 3 3|, &lt;0 5 -6 7 4 6|]
EDOs: 9, 17, 26, 61bcf, 87bcf
EDOs: 9, 17, 26, 61bcf, 87bcf
Badness: 0.0262
Badness: 0.0262
</pre></div>
<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;Avicennmic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:18:&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:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;a href="#Roman"&gt;Roman&lt;/a&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;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt; | &lt;a href="#Secund"&gt;Secund&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt;&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;
&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;br /&gt;
These temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis. Avicennmic temperaments include negri, flattone, hexadecimal, muggles, lemba and roman.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Roman"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Roman&lt;/h1&gt;
Commas: 525/512, 4000/3969&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~63/50 = 414.552&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 -1|, &amp;lt;0 -7 -2 11|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;7 2 -11 -13 -37 -31||&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/23edo"&gt;23&lt;/a&gt;, &lt;a class="wiki_link" href="/26edo"&gt;26&lt;/a&gt;, &lt;a class="wiki_link" href="/29edo"&gt;29&lt;/a&gt;, &lt;a class="wiki_link" href="/55edo"&gt;55c&lt;/a&gt;&lt;br /&gt;
Badness: 0.1134&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Roman-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
Commas: 100/99, 245/242, 1375/1344&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~14/11 = 414.471&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 -1 0|, &amp;lt;0 -7 -2 11 10|]&lt;br /&gt;
EDOs: 23, 26, 29, 55c&lt;br /&gt;
Badness: 0.0528&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Roman-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
Commas: 65/64, 100/99, 105/104, 245/243&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~14/11 = 414.472&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 -1 0 3|, &amp;lt;0 -7 -2 11 10 2|]&lt;br /&gt;
EDOs: 23, 26, 29, 55&lt;br /&gt;
Badness: 0.0300&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Roman-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;17-limit&lt;/h2&gt;
Commas: 35/34, 52/51, 100/99, 169/168, 275/273&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~14/11 = 414.164&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 -1 0 3 1|, &amp;lt;0 -7 -2 11 10 2 9|]&lt;br /&gt;
EDOs: 26, 29, &lt;a class="wiki_link" href="/84edo"&gt;84&lt;/a&gt;, &lt;a class="wiki_link" href="/113edo"&gt;113&lt;/a&gt;&lt;br /&gt;
Badness: 0.0416&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Roman-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;19-limit&lt;/h2&gt;
Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~14/11 = 414.130&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 -1 0 3 1 7|, &amp;lt;0 -7 -2 11 10 2 9 -8|]&lt;br /&gt;
EDOs: 26g, 29&lt;br /&gt;
Badness: 0.0337&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Secund"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Secund&lt;/h1&gt;
Commas: 405/392, 525/512&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~16/15 = 137.958&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 2|, &amp;lt;0 5 -6 7|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;5 -6 7 -21 -3 33||&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/9edo"&gt;9&lt;/a&gt;, &lt;a class="wiki_link" href="/17edo"&gt;17&lt;/a&gt;, 26, &lt;a class="wiki_link" href="/61edo"&gt;61bc&lt;/a&gt;, &lt;a class="wiki_link" href="/87edo"&gt;87bc&lt;/a&gt;&lt;br /&gt;
Badness: 0.0898&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="Secund-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;11-limit&lt;/h2&gt;
Commas: 45/44, 99/98, 385/384&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 137.900&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 2 3|, &amp;lt;0 5 -6 7 4|]&lt;br /&gt;
EDOs: 9, 17, 26, 61bc, 87bc&lt;br /&gt;
Badness: 0.0426&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Secund-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;13-limit&lt;/h2&gt;
Commas: 27/26, 45/44, 99/98, 385/384&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 136.937&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 2 3 2|, &amp;lt;0 5 -6 7 4 15|]&lt;br /&gt;
EDOs: 9, 26f, &lt;a class="wiki_link" href="/35edo"&gt;35&lt;/a&gt;&lt;br /&gt;
Badness: 0.0497&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Secund-Secundly"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Secundly&lt;/h2&gt;
Commas: 45/44, 78/77, 81/80, 640/637&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 137.917&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 2 3 3|, &amp;lt;0 5 -6 7 4 6|]&lt;br /&gt;
EDOs: 9, 17, 26, 61bcf, 87bcf&lt;br /&gt;
Badness: 0.0262&lt;/body&gt;&lt;/html&gt;</pre></div>