Father family: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 290447443 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 290447551 - Original comment: **
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<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>2012-01-08 20:41:15 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-01-08 20:41:51 UTC</tt>.<br>
: The original revision id was <tt>290447443</tt>.<br>
: The original revision id was <tt>290447551</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>
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This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are "fourth-thirds", or father, temperaments.
This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are "fourth-thirds", or father, temperaments.


=Father=
Comma: 16/15
Comma: 16/15


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</pre></div>
</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;Father family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:4:&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:4 --&gt;&lt;!-- ws:start:WikiTextTocRule:5: --&gt;&lt;!-- ws:end:WikiTextTocRule:5 --&gt;&lt;!-- ws:start:WikiTextTocRule:6: --&gt; | &lt;a href="#Pater"&gt;Pater&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&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;Father 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="#Father"&gt;Father&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#Pater"&gt;Pater&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;br /&gt;
This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are &amp;quot;fourth-thirds&amp;quot;, or father, temperaments.&lt;br /&gt;
This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are &amp;quot;fourth-thirds&amp;quot;, or father, temperaments.&lt;br /&gt;
&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="Father"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Father&lt;/h1&gt;
Comma: 16/15&lt;br /&gt;
Comma: 16/15&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.0149&lt;br /&gt;
Badness: 0.0149&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;7-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Father-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7-limit&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;
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Badness: 0.0213&lt;br /&gt;
Badness: 0.0213&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Pater"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Pater&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Pater"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pater&lt;/h1&gt;
Commas: 16/15, 126/125&lt;br /&gt;
Commas: 16/15, 126/125&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;

Revision as of 20:41, 8 January 2012

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 2012-01-08 20:41:51 UTC.
The original revision id was 290447551.
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:

[[toc|flat]]

This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are "fourth-thirds", or father, temperaments.

=Father=
Comma: 16/15

POTE generator: ~3/2 = 743.986

Map: [<1 0 4|, <0 1 -1|]
EDOs: 1, 2, 3, 5, 8, 10c, 11b, 13c, 21bc
Badness: 0.0149

==7-limit==
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|]
[[Eigenmonzo subgroup]]: 2.7/5

9-limit eigenmonzo subgroup: 2.9/5

[[POTE tuning|POTE generator]]: 742.002

Map: [<1 0 4 -2|, <0 1 -1 3|]
Wedgie: <<1 -1 3 -4 2 10||
EDOs: 5, 8d, 13cd, 21bcd
Badness: 0.0213

=Pater=
Commas: 16/15, 126/125

POTE generator: ~3/2 = 753.113

Map: [<1 0 4 11|, <0 1 -1 -5|]
Wedgie: <<1 -1 -5 -4 -11 -9||
EDOs: 3, 11b, 16bcd, 27bcd
Badness: 0.0530

Original HTML content:

<html><head><title>Father family</title></head><body><!-- ws:start:WikiTextTocRule:6:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Father">Father</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#Pater">Pater</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: -->
<!-- ws:end:WikiTextTocRule:10 --><br />
This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are &quot;fourth-thirds&quot;, or father, temperaments.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Father"></a><!-- ws:end:WikiTextHeadingRule:0 -->Father</h1>
Comma: 16/15<br />
<br />
POTE generator: ~3/2 = 743.986<br />
<br />
Map: [&lt;1 0 4|, &lt;0 1 -1|]<br />
EDOs: 1, 2, 3, 5, 8, 10c, 11b, 13c, 21bc<br />
Badness: 0.0149<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Father-7-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit</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 />
<a class="wiki_link" href="/Eigenmonzo%20subgroup">Eigenmonzo subgroup</a>: 2.7/5<br />
<br />
9-limit eigenmonzo subgroup: 2.9/5<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, 8d, 13cd, 21bcd<br />
Badness: 0.0213<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pater"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pater</h1>
Commas: 16/15, 126/125<br />
<br />
POTE generator: ~3/2 = 753.113<br />
<br />
Map: [&lt;1 0 4 11|, &lt;0 1 -1 -5|]<br />
Wedgie: &lt;&lt;1 -1 -5 -4 -11 -9||<br />
EDOs: 3, 11b, 16bcd, 27bcd<br />
Badness: 0.0530</body></html>