Trienstonic clan: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 191549952 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 205295050 - Original comment: **
Line 1: Line 1:
<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>2011-01-06 21:13:56 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-26 17:42:43 UTC</tt>.<br>
: The original revision id was <tt>191549952</tt>.<br>
: The original revision id was <tt>205295050</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">Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, and adding 50/49 gives octokaidecal. Other members of the clan discussed elsewhere are sharptone, sharp, blacksmith and opossum.
<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">Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith.


===Father===
==Father==
Commas: 16/15, 28/27
Commas: 16/15, 28/27


Line 25: Line 25:
EDOs: 5, 8, 13, 21, 55, 76
EDOs: 5, 8, 13, 21, 55, 76


===Octokaidecal===
==Octokaidecal==
Commas: 28/27, 50/49
Commas: 28/27, 50/49


Line 32: Line 32:
Map: [&lt;2 0 -5 -4|, &lt;0 1 3 3|]
Map: [&lt;2 0 -5 -4|, &lt;0 1 3 3|]
Wedgie: &lt;&lt;2 6 6 5 4 -2||
Wedgie: &lt;&lt;2 6 6 5 4 -2||
EDOs: 10, 18, 28</pre></div>
EDOs: 10, 18, 28
 
==Opossum==
Commas: 28/27, 126/125
 
[[POTE tuning|POTE generator]]: ~10/9 = 159.691
 
Map: [&lt;1 2 3 4|, &lt;0 -3 -5 -9|]
Wedgie: &lt;&lt;3 5 9 1 6 7||
EDOs: 7, 8, 15
Badness: 0.0407
 
===11-limit===
Commas: 28/27, 55/54, 77/75
 
[[POTE tuning|POTE generator]]: ~10/9 = 159.807
 
Map: [&lt;1 2 3 4 4|, &lt;0 -3 -5 -9 -4|]
EDOs: 7, 8, 15
Badness: 0.0223
 
===13-limit===
Commas: 28/27, 40/39, 55/54, 66/65
 
[[POTE tuning|POTE generator]]: ~10/9 = 158.805
 
Map: [&lt;1 2 3 4 4 4|, &lt;0 -3 -5 -9 -4 -2|]
EDOs: 7, 8, 15, 53, 68
Badness: 0.0194</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Trienstonic clan&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, and adding 50/49 gives octokaidecal. Other members of the clan discussed elsewhere are sharptone, sharp, blacksmith and opossum.&lt;br /&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;Trienstonic clan&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Father"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Father&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Father"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Father&lt;/h2&gt;
Commas: 16/15, 28/27&lt;br /&gt;
Commas: 16/15, 28/27&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 53: Line 81:
EDOs: 5, 8, 13, 21, 55, 76&lt;br /&gt;
EDOs: 5, 8, 13, 21, 55, 76&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--Octokaidecal"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Octokaidecal&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Octokaidecal"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Octokaidecal&lt;/h2&gt;
Commas: 28/27, 50/49&lt;br /&gt;
Commas: 28/27, 50/49&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 60: Line 88:
Map: [&amp;lt;2 0 -5 -4|, &amp;lt;0 1 3 3|]&lt;br /&gt;
Map: [&amp;lt;2 0 -5 -4|, &amp;lt;0 1 3 3|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;2 6 6 5 4 -2||&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;2 6 6 5 4 -2||&lt;br /&gt;
EDOs: 10, 18, 28&lt;/body&gt;&lt;/html&gt;</pre></div>
EDOs: 10, 18, 28&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="x-Opossum"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Opossum&lt;/h2&gt;
Commas: 28/27, 126/125&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~10/9 = 159.691&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 4|, &amp;lt;0 -3 -5 -9|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;3 5 9 1 6 7||&lt;br /&gt;
EDOs: 7, 8, 15&lt;br /&gt;
Badness: 0.0407&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Opossum-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;11-limit&lt;/h3&gt;
Commas: 28/27, 55/54, 77/75&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~10/9 = 159.807&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 4 4|, &amp;lt;0 -3 -5 -9 -4|]&lt;br /&gt;
EDOs: 7, 8, 15&lt;br /&gt;
Badness: 0.0223&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="x-Opossum-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;13-limit&lt;/h3&gt;
Commas: 28/27, 40/39, 55/54, 66/65&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~10/9 = 158.805&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 4 4 4|, &amp;lt;0 -3 -5 -9 -4 -2|]&lt;br /&gt;
EDOs: 7, 8, 15, 53, 68&lt;br /&gt;
Badness: 0.0194&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 17:42, 26 February 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2011-02-26 17:42:43 UTC.
The original revision id was 205295050.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith.

==Father==
Commas: 16/15, 28/27

7-limit minimax
[<1 0 0 0|, <3/2 0 -1/4 1/4|, <5/2 0 1/4 -1/4|, <5/2 0 -3/4 3/4|]
Eigenmonzos: 2, 7/5

9-limit minimax
[<1 0 0 0|, <4 0 -1 0|, <0 0 1 0|, <10 0 -3 0|]
Eigenmonzos: 2, 5/4

[[POTE tuning|POTE generator]]: 742.002

Map: [<1 0 4 -2|, <0 1 -1 3|]
Wedgie: <<1 -1 3 -4 2 10||
EDOs: 5, 8, 13, 21, 55, 76

==Octokaidecal==
Commas: 28/27, 50/49

[[POTE tuning|POTE generator]]: 728.874

Map: [<2 0 -5 -4|, <0 1 3 3|]
Wedgie: <<2 6 6 5 4 -2||
EDOs: 10, 18, 28

==Opossum==
Commas: 28/27, 126/125

[[POTE tuning|POTE generator]]: ~10/9 = 159.691

Map: [<1 2 3 4|, <0 -3 -5 -9|]
Wedgie: <<3 5 9 1 6 7||
EDOs: 7, 8, 15
Badness: 0.0407

===11-limit===
Commas: 28/27, 55/54, 77/75

[[POTE tuning|POTE generator]]: ~10/9 = 159.807

Map: [<1 2 3 4 4|, <0 -3 -5 -9 -4|]
EDOs: 7, 8, 15
Badness: 0.0223

===13-limit===
Commas: 28/27, 40/39, 55/54, 66/65

[[POTE tuning|POTE generator]]: ~10/9 = 158.805

Map: [<1 2 3 4 4 4|, <0 -3 -5 -9 -4 -2|]
EDOs: 7, 8, 15, 53, 68
Badness: 0.0194

Original HTML content:

<html><head><title>Trienstonic clan</title></head><body>Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Father"></a><!-- ws:end:WikiTextHeadingRule:0 -->Father</h2>
Commas: 16/15, 28/27<br />
<br />
7-limit minimax<br />
[&lt;1 0 0 0|, &lt;3/2 0 -1/4 1/4|, &lt;5/2 0 1/4 -1/4|, &lt;5/2 0 -3/4 3/4|]<br />
Eigenmonzos: 2, 7/5<br />
<br />
9-limit minimax<br />
[&lt;1 0 0 0|, &lt;4 0 -1 0|, &lt;0 0 1 0|, &lt;10 0 -3 0|]<br />
Eigenmonzos: 2, 5/4<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 742.002<br />
<br />
Map: [&lt;1 0 4 -2|, &lt;0 1 -1 3|]<br />
Wedgie: &lt;&lt;1 -1 3 -4 2 10||<br />
EDOs: 5, 8, 13, 21, 55, 76<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Octokaidecal"></a><!-- ws:end:WikiTextHeadingRule:2 -->Octokaidecal</h2>
Commas: 28/27, 50/49<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 728.874<br />
<br />
Map: [&lt;2 0 -5 -4|, &lt;0 1 3 3|]<br />
Wedgie: &lt;&lt;2 6 6 5 4 -2||<br />
EDOs: 10, 18, 28<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Opossum"></a><!-- ws:end:WikiTextHeadingRule:4 -->Opossum</h2>
Commas: 28/27, 126/125<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.691<br />
<br />
Map: [&lt;1 2 3 4|, &lt;0 -3 -5 -9|]<br />
Wedgie: &lt;&lt;3 5 9 1 6 7||<br />
EDOs: 7, 8, 15<br />
Badness: 0.0407<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-Opossum-11-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit</h3>
Commas: 28/27, 55/54, 77/75<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.807<br />
<br />
Map: [&lt;1 2 3 4 4|, &lt;0 -3 -5 -9 -4|]<br />
EDOs: 7, 8, 15<br />
Badness: 0.0223<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-Opossum-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h3>
Commas: 28/27, 40/39, 55/54, 66/65<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 158.805<br />
<br />
Map: [&lt;1 2 3 4 4 4|, &lt;0 -3 -5 -9 -4 -2|]<br />
EDOs: 7, 8, 15, 53, 68<br />
Badness: 0.0194</body></html>