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


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Map: [&lt;1 5 5|, &lt;0 -14 -11|]
Map: [&lt;1 5 5|, &lt;0 -14 -11|]
EDOs: 37, 41
EDOs: 37, 41
Badness: 0.7678
Badness: 0.7678


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Map: [&lt;1 5 5 5|, &lt;0 -14 -11 -9|]
Map: [&lt;1 5 5 5|, &lt;0 -14 -11 -9|]
Wedgie: &lt;&lt;14 11 9 -15 -25 -10||
Wedgie: &lt;&lt;14 11 9 -15 -25 -10||
EDOs: 37, 41
EDOs: 37, 41
Badness: 0.0603
Badness: 0.0603


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Map: [&lt;1 5 5 5 2|, &lt;0 -14 -11 -9 6|]
Map: [&lt;1 5 5 5 2|, &lt;0 -14 -11 -9 6|]
EDOs: 37, 41, 119, 160c, 201ce
EDOs: 37, 41, 119, 160c, 201ce
Badness: 0.0432
Badness: 0.0432


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Map: [&lt;1 5 5 5 12|, &lt;0 -14 -11 -9 -35|]
Map: [&lt;1 5 5 5 12|, &lt;0 -14 -11 -9 -35|]
EDOs: 41, 127cd, 168cd
EDOs: 41, 127cd, 168cd
Badness: 0.0412
Badness: 0.0412


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Map: [&lt;1 5 5 5 12 12|, &lt;0 -14 -11 -9 -35 -34|]
Map: [&lt;1 5 5 5 12 12|, &lt;0 -14 -11 -9 -35 -34|]
EDOs: 41, 86ce, 127cd
EDOs: 41, 86ce, 127cd
Badness: 0.0301
Badness: 0.0301


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Map: [&lt;1 9 7 11|, &lt;0 -19 -12 -21|]
Map: [&lt;1 9 7 11|, &lt;0 -19 -12 -21|]
Wedgie: &lt;&lt;19 12 21 -25 -20 15||
Wedgie: &lt;&lt;19 12 21 -25 -20 15||
EDOs: 18, 23d, 41
EDOs: 18, 23d, 41
Badness: 0.1104
Badness: 0.1104


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Map: [&lt;1 9 7 11 14|, &lt;0 -19 -12 -21 -27|]
Map: [&lt;1 9 7 11 14|, &lt;0 -19 -12 -21 -27|]
EDOs: 41, 228cd
EDOs: 41, 228cd
Badness: 0.0501
Badness: 0.0501


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Map: [&lt;1 9 7 11 14 8|, &lt;0 -19 -12 -21 -27 -11|]
Map: [&lt;1 9 7 11 14 8|, &lt;0 -19 -12 -21 -27 -11|]
EDOs: 41
EDOs: 41
Badness: 0.0392
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>

Revision as of 00:00, 17 July 2018

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

Quasitemp

Comma: 6103515625/5804752896

POTE generator: ~3125/2592 = 292.702

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

EDOs: 37, 41

Badness: 0.7678

7-limit

Commas: 875/854, 2401/2400

POTE generator ~25/21 = 292.710

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

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

EDOs: 37, 41

Badness: 0.0603

11-limit

Commas: 100/99, 385/384, 1375/1372

POTE generator: ~25/21 = 292.547

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

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

Badness: 0.0432

Quato

Commas: 243/242, 441/440, 625/616

POTE generator: ~25/21 = 292.851

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

EDOs: 41, 127cd, 168cd

Badness: 0.0412

13-limit

Commas: 105/104, 243/242, 275/273, 325/324

POTE generator: ~13/11 = 292.928

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

EDOs: 41, 86ce, 127cd

Badness: 0.0301

Barbad

Commas: 875/864, 16875/16807

POTE generator: ~75/49 = 468.331

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

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

EDOs: 18, 23d, 41

Badness: 0.1104

11-limit

Commas: 245/242, 540/539, 625/616

POTE generator: ~98/75 = 468.367

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

EDOs: 41, 228cd

Badness: 0.0501

13-limit

Commas: 144/143, 196/195, 245/242, 275/273

POTE generator: ~13/10 = 468.270

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

EDOs: 41

Badness: 0.0392

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