Laconic family

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Revision as of 22:20, 17 October 2011 by Wikispaces>genewardsmith (**Imported revision 265796200 - Original comment: **)
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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 2011-10-17 22:20:50 UTC.
The original revision id was 265796200.
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

==11-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

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-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-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</body></html>