Laconic family: Difference between revisions

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**Imported revision 265801940 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 265829804 - 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>2011-10-17 22:43:48 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-18 01:21:30 UTC</tt>.<br>
: The original revision id was <tt>265801940</tt>.<br>
: The original revision id was <tt>265829804</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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EDOs: 16, 21, 37b
EDOs: 16, 21, 37b
Badness: 0.0495
Badness: 0.0495
==13-limit==
Commas: 27/26, 36/35, 45/55, 507/500
POTE generator: ~8/7 = 227.230
Map: [&lt;1 1 1 3 1 2|, &lt;0 3 7 -1 13 9|&gt;
EDOs 16, 21, 37b
Badness: 0.0327


=Spartan=
=Spartan=
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Badness: 0.0495&lt;br /&gt;
Badness: 0.0495&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Spartan"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Spartan&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Laconic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;13-limit&lt;/h2&gt;
Commas: 27/26, 36/35, 45/55, 507/500&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 227.230&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 3 1 2|, &amp;lt;0 3 7 -1 13 9|&amp;gt;&lt;br /&gt;
EDOs 16, 21, 37b&lt;br /&gt;
Badness: 0.0327&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Spartan"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Spartan&lt;/h1&gt;
Commas: 36/35, 56/55, 1029/1024&lt;br /&gt;
Commas: 36/35, 56/55, 1029/1024&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;

Revision as of 01:21, 18 October 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 2011-10-18 01:21:30 UTC.
The original revision id was 265829804.
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:

The Laconic family tempers out the Laconic comma, 2187/2000, which is the difference between three 10/9's and a 3/2. Although a higher-error temperament, it does pop up enough in the low-numbered EDOs to be useful, most notably in 16-EDO and 21-EDO.

=Laconic= 
Comma: 2187/2000

POTE generator: ~10/9 = 227.426

Map: [<1 1 1|, <0 3 7|>
EDOs: 5, 16, 21, 37b
Badness: 0.1618

==7-limit==
Commas: 36/35, 1029/1024

POTE generator: ~8/7 = 228.334

Map: [<1 1 1 3|, <0 3 7 -1|>
EDOs: 5, 16, 21, 37b
Badness: 0.0607

==11-limit==
Commas: 36/35, 45/44, 1029/1024

POTE generator: ~8/7 = 227.373

Map: [<1 1 1 3 1|, <0 3 7 -1 13|>
EDOs: 16, 21, 37b
Badness: 0.0495

==13-limit==
Commas: 27/26, 36/35, 45/55, 507/500

POTE generator: ~8/7 = 227.230

Map: [<1 1 1 3 1 2|, <0 3 7 -1 13 9|>
EDOs 16, 21, 37b
Badness: 0.0327

=Spartan=
Commas: 36/35, 56/55, 1029/1024

POTE generator: ~8/7 = 229.535

Map: [<1 1 1 3 5|, <0 3 7 -1 -8|>
EDOs: 5, 21
Badness: 0.0627

Original HTML content:

<html><head><title>Laconic Family</title></head><body>The Laconic family tempers out the Laconic comma, 2187/2000, which is the difference between three 10/9's and a 3/2. Although a higher-error temperament, it does pop up enough in the low-numbered EDOs to be useful, most notably in 16-EDO and 21-EDO.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Laconic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Laconic</h1>
 Comma: 2187/2000<br />
<br />
POTE generator: ~10/9 = 227.426<br />
<br />
Map: [&lt;1 1 1|, &lt;0 3 7|&gt;<br />
EDOs: 5, 16, 21, 37b<br />
Badness: 0.1618<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Laconic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit</h2>
Commas: 36/35, 1029/1024<br />
<br />
POTE generator: ~8/7 = 228.334<br />
<br />
Map: [&lt;1 1 1 3|, &lt;0 3 7 -1|&gt;<br />
EDOs: 5, 16, 21, 37b<br />
Badness: 0.0607<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Laconic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2>
Commas: 36/35, 45/44, 1029/1024<br />
<br />
POTE generator: ~8/7 = 227.373<br />
<br />
Map: [&lt;1 1 1 3 1|, &lt;0 3 7 -1 13|&gt;<br />
EDOs: 16, 21, 37b<br />
Badness: 0.0495<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Laconic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2>
Commas: 27/26, 36/35, 45/55, 507/500<br />
<br />
POTE generator: ~8/7 = 227.230<br />
<br />
Map: [&lt;1 1 1 3 1 2|, &lt;0 3 7 -1 13 9|&gt;<br />
EDOs 16, 21, 37b<br />
Badness: 0.0327<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Spartan"></a><!-- ws:end:WikiTextHeadingRule:8 -->Spartan</h1>
Commas: 36/35, 56/55, 1029/1024<br />
<br />
POTE generator: ~8/7 = 229.535<br />
<br />
Map: [&lt;1 1 1 3 5|, &lt;0 3 7 -1 -8|&gt;<br />
EDOs: 5, 21<br />
Badness: 0.0627</body></html>