Keemic temperaments: Difference between revisions

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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:genewardsmith|genewardsmith]] and made on <tt>2012-05-20 16:52:24 UTC</tt>.<br>~~

~~: The original revision id was <tt>337626628</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>~~

~~<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]]

These temper out the keema, |-5 -3 3 1> = 875/864. Keemic temperaments include magic, keemun, flattone, porcupine, doublewide, superkleismic, sycamore and quasitemp.

Line 16:

Line 8:

Map: [<1 5 5|, <0 -14 -11|]

EDOs: 37, 41

Badness: 0.7678

Line 25:

Line 19:

Map: [<1 5 5 5|, <0 -14 -11 -9|]

Wedgie: <<14 11 9 -15 -25 -10||

EDOs: 37, 41

Badness: 0.0603

Line 35:

Line 32:

Map: [<1 5 5 5 2|, <0 -14 -11 -9 6|]

EDOs: 37, 41, 119, 160c, 201ce

Badness: 0.0432

Line 44:

Line 43:

Map: [<1 5 5 5 12|, <0 -14 -11 -9 -35|]

EDOs: 41, 127cd, 168cd

Badness: 0.0412

Line 53:

Line 54:

Map: [<1 5 5 5 12 12|, <0 -14 -11 -9 -35 -34|]

EDOs: 41, 86ce, 127cd

Badness: 0.0301

Line 62:

Line 65:

Map: [<1 9 7 11|, <0 -19 -12 -21|]

Wedgie: <<19 12 21 -25 -20 15||

EDOs: 18, 23d, 41

Badness: 0.1104

Line 72:

Line 78:

Map: [<1 9 7 11 14|, <0 -19 -12 -21 -27|]

EDOs: 41, 228cd

Badness: 0.0501

Line 81:

Line 89:

Map: [<1 9 7 11 14 8|, <0 -19 -12 -21 -27 -11|]

EDOs: 41

Badness: 0.0392

~~</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"><html><head><title>Keemic temperaments</title></head><body><div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 1em;"><a href="#Quasitemp">Quasitemp</a></div>

~~<div style="margin-left: 2em;"><a href="#Quasitemp-7-limit">7-limit</a></div>~~

~~<div style="margin-left: 2em;"><a href="#Quasitemp-11-limit">11-limit</a></div>~~

~~<div style="margin-left: 2em;"><a href="#Quasitemp-Quato">Quato</a></div>~~

~~<div style="margin-left: 3em;"><a href="#Quasitemp-Quato-13-limit">13-limit</a></div>~~

~~<div style="margin-left: 1em;"><a href="#Barbad">Barbad</a></div>~~

~~<div style="margin-left: 2em;"><a href="#Barbad-11-limit">11-limit</a></div>~~

~~<div style="margin-left: 2em;"><a href="#Barbad-13-limit">13-limit</a></div>~~

~~</div>~~

~~<br />~~

~~These temper out the keema, |-5 -3 3 1&gt; = 875/864. Keemic temperaments include magic, keemun, flattone, porcupine, doublewide, superkleismic, sycamore and quasitemp.<br />~~

~~<br />~~

~~<h1 id="toc0"><a name="Quasitemp"></a>Quasitemp</h1>~~

~~Comma: 6103515625/5804752896<br />~~

~~<br />~~

~~POTE generator: ~3125/2592 = 292.702<br />~~

~~<br />~~

~~Map: [&lt;1 5 5|, &lt;0 -14 -11|]<br />~~

~~EDOs: 37, 41<br />~~

~~Badness: 0.7678<br />~~

~~<br />~~

~~<h2 id="toc1"><a name="Quasitemp-7-limit"></a>7-limit</h2>~~

~~Commas: 875/854, 2401/2400<br />~~

~~<br />~~

~~POTE generator ~25/21 = 292.710<br />~~

~~<br />~~

~~Map: [&lt;1 5 5 5|, &lt;0 -14 -11 -9|]<br />~~

~~Wedgie: &lt;&lt;14 11 9 -15 -25 -10||<br />~~

~~EDOs: 37, 41<br />~~

~~Badness: 0.0603<br />~~

~~<br />~~

~~<h2 id="toc2"><a name="Quasitemp-11-limit"></a>11-limit</h2>~~

~~Commas: 100/99, 385/384, 1375/1372<br />~~

~~<br />~~

~~POTE generator: ~25/21 = 292.547<br />~~

~~<br />~~

~~Map: [&lt;1 5 5 5 2|, &lt;0 -14 -11 -9 6|]<br />~~

~~EDOs: 37, 41, 119, 160c, 201ce<br />~~

~~Badness: 0.0432<br />~~

~~<br />~~

~~<h2 id="toc3"><a name="Quasitemp-Quato"></a>Quato</h2>~~

~~Commas: 243/242, 441/440, 625/616<br />~~

~~<br />~~

~~POTE generator: ~25/21 = 292.851<br />~~

~~<br />~~

~~Map: [&lt;1 5 5 5 12|, &lt;0 -14 -11 -9 -35|]<br />~~

~~EDOs: 41, 127cd, 168cd<br />~~

~~Badness: 0.0412<br />~~

~~<br />~~

~~<h3 id="toc4"><a name="Quasitemp-Quato-13-limit"></a>13-limit</h3>~~

~~Commas: 105/104, 243/242, 275/273, 325/324<br />~~

~~<br />~~

~~POTE generator: ~13/11 = 292.928<br />~~

~~<br />~~

~~Map: [&lt;1 5 5 5 12 12|, &lt;0 -14 -11 -9 -35 -34|]<br />~~

~~EDOs: 41, 86ce, 127cd<br />~~

~~Badness: 0.0301<br />~~

~~<br />~~

~~<h1 id="toc5"><a name="Barbad"></a>Barbad</h1>~~

~~Commas: 875/864, 16875/16807<br />~~

~~<br />~~

~~POTE generator: ~75/49 = 468.331<br />~~

~~<br />~~

~~Map: [&lt;1 9 7 11|, &lt;0 -19 -12 -21|]<br />~~

~~Wedgie: &lt;&lt;19 12 21 -25 -20 15||<br />~~

~~EDOs: 18, 23d, 41<br />~~

~~Badness: 0.1104<br />~~

~~<br />~~

~~<h2 id="toc6"><a name="Barbad-11-limit"></a>11-limit</h2>~~

~~Commas: 245/242, 540/539, 625/616<br />~~

~~<br />~~

~~POTE generator: ~98/75 = 468.367<br />~~

~~<br />~~

~~Map: [&lt;1 9 7 11 14|, &lt;0 -19 -12 -21 -27|]<br />~~

~~EDOs: 41, 228cd<br />~~

~~Badness: 0.0501<br />~~

~~<br />~~

~~<h2 id="toc7"><a name="Barbad-13-limit"></a>13-limit</h2>~~

~~Commas: 144/143, 196/195, 245/242, 275/273<br />~~

~~<br />~~

~~POTE generator: ~13/10 = 468.270<br />~~

~~<br />~~

~~Map: [&lt;1 9 7 11 14 8|, &lt;0 -19 -12 -21 -27 -11|]<br />~~

~~EDOs: 41<br />~~

~~Badness: 0.0392</body></html></pre></div>~~

@@ Line 1: / Line 1: @@
-<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:genewardsmith|genewardsmith]] and made on <tt>2012-05-20 16:52:24 UTC</tt>.<br>
-: The original revision id was <tt>337626628</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>
-<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]]
 These temper out the keema, |-5 -3 3 1&gt; = 875/864. Keemic temperaments include magic, keemun, flattone, porcupine, doublewide, superkleismic, sycamore and quasitemp.
@@ Line 16: / Line 8: @@
 Map: [&lt;1 5 5|, &lt;0 -14 -11|]
 EDOs: 37, 41
 Badness: 0.7678
@@ Line 25: / Line 19: @@
 Map: [&lt;1 5 5 5|, &lt;0 -14 -11 -9|]
 Wedgie: &lt;&lt;14 11 9 -15 -25 -10||
 EDOs: 37, 41
 Badness: 0.0603
@@ Line 35: / Line 32: @@
 Map: [&lt;1 5 5 5 2|, &lt;0 -14 -11 -9 6|]
 EDOs: 37, 41, 119, 160c, 201ce
 Badness: 0.0432
@@ Line 44: / Line 43: @@
 Map: [&lt;1 5 5 5 12|, &lt;0 -14 -11 -9 -35|]
 EDOs: 41, 127cd, 168cd
 Badness: 0.0412
@@ Line 53: / Line 54: @@
 Map: [&lt;1 5 5 5 12 12|, &lt;0 -14 -11 -9 -35 -34|]
 EDOs: 41, 86ce, 127cd
 Badness: 0.0301
@@ Line 62: / Line 65: @@
 Map: [&lt;1 9 7 11|, &lt;0 -19 -12 -21|]
 Wedgie: &lt;&lt;19 12 21 -25 -20 15||
 EDOs: 18, 23d, 41
 Badness: 0.1104
@@ Line 72: / Line 78: @@
 Map: [&lt;1 9 7 11 14|, &lt;0 -19 -12 -21 -27|]
 EDOs: 41, 228cd
 Badness: 0.0501
@@ Line 81: / Line 89: @@
 Map: [&lt;1 9 7 11 14 8|, &lt;0 -19 -12 -21 -27 -11|]
 EDOs: 41
 Badness: 0.0392
-</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;Keemic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:16:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Quasitemp"&gt;Quasitemp&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Quasitemp-7-limit"&gt;7-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Quasitemp-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Quasitemp-Quato"&gt;Quato&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Quasitemp-Quato-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Barbad"&gt;Barbad&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Barbad-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Barbad-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;br /&gt;
-These temper out the keema, |-5 -3 3 1&amp;gt; = 875/864. Keemic temperaments include magic, keemun, flattone, porcupine, doublewide, superkleismic, sycamore and quasitemp.&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="Quasitemp"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Quasitemp&lt;/h1&gt;
-Comma: 6103515625/5804752896&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~3125/2592 = 292.702&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 5 5|, &amp;lt;0 -14 -11|]&lt;br /&gt;
-EDOs: 37, 41&lt;br /&gt;
-Badness: 0.7678&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="Quasitemp-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7-limit&lt;/h2&gt;
-Commas: 875/854, 2401/2400&lt;br /&gt;
-&lt;br /&gt;
-POTE generator ~25/21 = 292.710&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 5 5 5|, &amp;lt;0 -14 -11 -9|]&lt;br /&gt;
-Wedgie: &amp;lt;&amp;lt;14 11 9 -15 -25 -10||&lt;br /&gt;
-EDOs: 37, 41&lt;br /&gt;
-Badness: 0.0603&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="Quasitemp-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;11-limit&lt;/h2&gt;
-Commas: 100/99, 385/384, 1375/1372&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~25/21 = 292.547&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 5 5 5 2|, &amp;lt;0 -14 -11 -9 6|]&lt;br /&gt;
-EDOs: 37, 41, 119, 160c, 201ce&lt;br /&gt;
-Badness: 0.0432&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="Quasitemp-Quato"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Quato&lt;/h2&gt;
-Commas: 243/242, 441/440, 625/616&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~25/21 = 292.851&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 5 5 5 12|, &amp;lt;0 -14 -11 -9 -35|]&lt;br /&gt;
-EDOs: 41, 127cd, 168cd&lt;br /&gt;
-Badness: 0.0412&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="Quasitemp-Quato-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;13-limit&lt;/h3&gt;
-Commas: 105/104, 243/242, 275/273, 325/324&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~13/11 = 292.928&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 5 5 5 12 12|, &amp;lt;0 -14 -11 -9 -35 -34|]&lt;br /&gt;
-EDOs: 41, 86ce, 127cd&lt;br /&gt;
-Badness: 0.0301&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="Barbad"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Barbad&lt;/h1&gt;
-Commas: 875/864, 16875/16807&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~75/49 = 468.331&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 9 7 11|, &amp;lt;0 -19 -12 -21|]&lt;br /&gt;
-Wedgie: &amp;lt;&amp;lt;19 12 21 -25 -20 15||&lt;br /&gt;
-EDOs: 18, 23d, 41&lt;br /&gt;
-Badness: 0.1104&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="Barbad-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;11-limit&lt;/h2&gt;
-Commas: 245/242, 540/539, 625/616&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~98/75 = 468.367&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 9 7 11 14|, &amp;lt;0 -19 -12 -21 -27|]&lt;br /&gt;
-EDOs: 41, 228cd&lt;br /&gt;
-Badness: 0.0501&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="Barbad-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;13-limit&lt;/h2&gt;
-Commas: 144/143, 196/195, 245/242, 275/273&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~13/10 = 468.270&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 9 7 11 14 8|, &amp;lt;0 -19 -12 -21 -27 -11|]&lt;br /&gt;
-EDOs: 41&lt;br /&gt;
-Badness: 0.0392&lt;/body&gt;&lt;/html&gt;</pre></div>