Keenanismic family: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>2011-09-~~08 16~~:20:33 UTC</tt>.<br>

: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-09-09 02:59:33 UTC</tt>.<br>

: The original revision id was <tt>~~252095028~~</tt>.<br>

: The original revision id was <tt>252244616</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|flat]]

The keenanismic family of rank four temperaments tempers out the [[385_384|keenanisma]], the 11-limit comma 385/384 = |-7 -1 1 1 1> of 4.503 cents.

=~~Keenamismic~~=

=Keenanismic=

Comma: 385/384

Minimax tuning

[|1 0 0 0 0>, |0 1 0 0 0>, |7/3 1/3 2/3 -1/3 -1/3>,

|7/3 1/3 -1/3 2/3 -1/3>, |7/3 1/3 -1/3 -1/3 2/3>]

Eigenmonzos: 2, 3, 7/5, 11/5

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10^9*Badness: 15.159

=Martwin=

Commas: 385/384, 325/324

Minimax tuning

||1 0 0 0 0 0>, |0 1 0 0 0 0>, |2/3 4/3 1/3 0 0 -1/3>,

|17/3 -5/3 1/3 0 -1 2/3>, |2/3 4/3 -2/3 0 1 -1/3>, |2/3 4/3 -2/3 0 0 2/3>]

Eigenmonzos: 2, 3, 11/5, 13/5

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10^6*Badness: 2.206

=Ancient=

Commas: 385/384, 625/624

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10^6*Badness: 2.573</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>Keenanismic family</title></head><body><a href="#~~Keenamismic~~">~~Keenamismic~~</a> | <a href="#Martwin">Martwin</a> | <a href="#Ancient">Ancient</a>

<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>Keenanismic family</title></head><body><a href="#Keenanismic">Keenanismic</a> | <a href="#Martwin">Martwin</a> | <a href="#Ancient">Ancient</a>

~~<br />~~

The keenanismic family of rank four temperaments tempers out the <a class="wiki_link" href="/385_384">keenanisma</a>, the 11-limit comma 385/384 = |-7 -1 1 1 1&gt; of 4.503 cents.<br />

The keenanismic family of rank four temperaments tempers out the <a class="wiki_link" href="/385_384">keenanisma</a>, the 11-limit comma 385/384 = |-7 -1 1 1 1&gt; of 4.503 cents.<br />

<br />

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

<h1 id="toc0"><a name="Keenanismic"></a>Keenanismic</h1>

Comma: 385/384<br />

<br />

Minimax tuning<br />

[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |7/3 1/3 2/3 -1/3 -1/3&gt;, <br />

[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |7/3 1/3 2/3 -1/3 -1/3&gt;,<br />

|7/3 1/3 -1/3 2/3 -1/3&gt;, |7/3 1/3 -1/3 -1/3 2/3&gt;]<br />

Eigenmonzos: 2, 3, 7/5, 11/5<br />

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<br />

<h1 id="toc1"><a name="Martwin"></a>Martwin</h1>

Commas: 385/384, 325/324<br />

<br />

Minimax tuning<br />

||1 0 0 0 0 0&gt;, |0 1 0 0 0 0&gt;, |2/3 4/3 1/3 0 0 -1/3&gt;, <br />

||1 0 0 0 0 0&gt;, |0 1 0 0 0 0&gt;, |2/3 4/3 1/3 0 0 -1/3&gt;,<br />

|17/3 -5/3 1/3 0 -1 2/3&gt;, |2/3 4/3 -2/3 0 1 -1/3&gt;, |2/3 4/3 -2/3 0 0 2/3&gt;]<br />

Eigenmonzos: 2, 3, 11/5, 13/5<br />

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<br />

<h1 id="toc2"><a name="Ancient"></a>Ancient</h1>

Commas: 385/384, 625/624<br />

<br />

Map: [&lt;1 0 0 0 7 -4|, &lt;0 1 0 0 1 -1|, &lt;0 0 1 0 -1 4|, &lt;0 0 0 1 -1 0|]<br />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-09-08 16:20:33 UTC</tt>.<br>
+: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-09-09 02:59:33 UTC</tt>.<br>
-: The original revision id was <tt>252095028</tt>.<br>
+: The original revision id was <tt>252244616</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|flat]]
 The keenanismic family of rank four temperaments tempers out the [[385_384|keenanisma]], the 11-limit comma 385/384 = |-7 -1 1 1 1&gt; of 4.503 cents.
-=Keenamismic=
+=Keenanismic=
 Comma: 385/384
 Minimax tuning
 [|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |7/3 1/3 2/3 -1/3 -1/3&gt;,
 |7/3 1/3 -1/3 2/3 -1/3&gt;, |7/3 1/3 -1/3 -1/3 2/3&gt;]
 Eigenmonzos: 2, 3, 7/5, 11/5
@@ Line 23: / Line 22: @@
 ^9*Badness: 15.159
 =Martwin=
 Commas: 385/384, 325/324
 Minimax tuning
 ||1 0 0 0 0 0&gt;, |0 1 0 0 0 0&gt;, |2/3 4/3 1/3 0 0 -1/3&gt;,
 |17/3 -5/3 1/3 0 -1 2/3&gt;, |2/3 4/3 -2/3 0 1 -1/3&gt;, |2/3 4/3 -2/3 0 0 2/3&gt;]
 Eigenmonzos: 2, 3, 11/5, 13/5
@@ Line 36: / Line 35: @@
 ^6*Badness: 2.206
 =Ancient=
 Commas: 385/384, 625/624
@@ Line 44: / Line 43: @@
 ^6*Badness: 2.573</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;Keenanismic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&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:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#Keenamismic"&gt;Keenamismic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt; | &lt;a href="#Martwin"&gt;Martwin&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#Ancient"&gt;Ancient&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
+<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;Keenanismic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&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:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#Keenanismic"&gt;Keenanismic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt; | &lt;a href="#Martwin"&gt;Martwin&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#Ancient"&gt;Ancient&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:10 --&gt;The keenanismic family of rank four temperaments tempers out the &lt;a class="wiki_link" href="/385_384"&gt;keenanisma&lt;/a&gt;, the 11-limit comma 385/384 = |-7 -1 1 1 1&amp;gt; of 4.503 cents.&lt;br /&gt;
-The keenanismic family of rank four temperaments tempers out the &lt;a class="wiki_link" href="/385_384"&gt;keenanisma&lt;/a&gt;, the 11-limit comma 385/384 = |-7 -1 1 1 1&amp;gt; of 4.503 cents.&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="Keenamismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Keenamismic&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Keenanismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Keenanismic&lt;/h1&gt;
-Comma: 385/384&lt;br /&gt;
+ Comma: 385/384&lt;br /&gt;
 &lt;br /&gt;
 Minimax tuning&lt;br /&gt;
-[|1 0 0 0 0&amp;gt;, |0 1 0 0 0&amp;gt;, |7/3 1/3 2/3 -1/3 -1/3&amp;gt;, &lt;br /&gt;
+[|1 0 0 0 0&amp;gt;, |0 1 0 0 0&amp;gt;, |7/3 1/3 2/3 -1/3 -1/3&amp;gt;,&lt;br /&gt;
 |7/3 1/3 -1/3 2/3 -1/3&amp;gt;, |7/3 1/3 -1/3 -1/3 2/3&amp;gt;]&lt;br /&gt;
 Eigenmonzos: 2, 3, 7/5, 11/5&lt;br /&gt;
@@ Line 62: / Line 60: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Martwin"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Martwin&lt;/h1&gt;
-Commas: 385/384, 325/324&lt;br /&gt;
+ Commas: 385/384, 325/324&lt;br /&gt;
 &lt;br /&gt;
 Minimax tuning&lt;br /&gt;
-||1 0 0 0 0 0&amp;gt;, |0 1 0 0 0 0&amp;gt;, |2/3 4/3 1/3 0 0 -1/3&amp;gt;, &lt;br /&gt;
+||1 0 0 0 0 0&amp;gt;, |0 1 0 0 0 0&amp;gt;, |2/3 4/3 1/3 0 0 -1/3&amp;gt;,&lt;br /&gt;
 |17/3 -5/3 1/3 0 -1 2/3&amp;gt;, |2/3 4/3 -2/3 0 1 -1/3&amp;gt;, |2/3 4/3 -2/3 0 0 2/3&amp;gt;]&lt;br /&gt;
 Eigenmonzos: 2, 3, 11/5, 13/5&lt;br /&gt;
@@ Line 75: / Line 73: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Ancient"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Ancient&lt;/h1&gt;
-Commas: 385/384, 625/624&lt;br /&gt;
+ Commas: 385/384, 625/624&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 0 0 7 -4|, &amp;lt;0 1 0 0 1 -1|, &amp;lt;0 0 1 0 -1 4|, &amp;lt;0 0 0 1 -1 0|]&lt;br /&gt;