Laconic family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 265829804 - Original comment: ** |
Wikispaces>guest **Imported revision 265839542 - 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: | : This revision was by author [[User:guest|guest]] and made on <tt>2011-10-18 02:39:43 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>265839542</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">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. | <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">The Laconic family [[tempering out|tempers out]] the [[Laconic comma]], 2187/2000, which is the difference between three [[10_9|10/9]]'s and a [[3_2|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= | =Laconic= | ||
Comma: 2187/2000 | Comma: 2187/2000 | ||
POTE generator: ~10/9 = 227.426 | [[POTE generator]]: ~10/9 = 227.426 | ||
Map: [<1 1 1|, <0 3 7|> | Map: [<1 1 1|, <0 3 7|> | ||
[[EDO]]s: [[5edo|5]], [[16edo|16]], [[21edo|21]], 37b | |||
Badness: 0.1618 | [[Badness]]: 0.1618 | ||
==7-limit== | ==7-limit== | ||
Commas: 36/35, 1029/1024 | Commas: 36/35, 1029/1024 | ||
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Badness: 0.0607 | Badness: 0.0607 | ||
==11-limit== | ==11-limit== | ||
Commas: 36/35, 45/44, 1029/1024 | Commas: 36/35, 45/44, 1029/1024 | ||
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Badness: 0.0495 | Badness: 0.0495 | ||
==13-limit== | ==13-limit== | ||
Commas: 27/26, 36/35, 45/55, 507/500 | Commas: 27/26, 36/35, 45/55, 507/500 | ||
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Badness: 0.0327 | Badness: 0.0327 | ||
=Spartan= | =Spartan= | ||
Commas: 36/35, 56/55, 1029/1024 | Commas: 36/35, 56/55, 1029/1024 | ||
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Badness: 0.0627</pre></div> | Badness: 0.0627</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"><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 /> | <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>Laconic Family</title></head><body>The Laconic family <a class="wiki_link" href="/tempering%20out">tempers out</a> the <a class="wiki_link" href="/Laconic%20comma">Laconic comma</a>, 2187/2000, which is the difference between three <a class="wiki_link" href="/10_9">10/9</a>'s and a <a class="wiki_link" href="/3_2">3/2</a>. 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 /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Laconic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Laconic</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Laconic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Laconic</h1> | ||
Comma: 2187/2000<br /> | Comma: 2187/2000<br /> | ||
<br /> | <br /> | ||
POTE generator: ~10/9 = 227.426<br /> | <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~10/9 = 227.426<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 1|, &lt;0 3 7|&gt;<br /> | Map: [&lt;1 1 1|, &lt;0 3 7|&gt;<br /> | ||
<a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/5edo">5</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/21edo">21</a>, 37b<br /> | |||
Badness: 0.1618<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.1618<br /> | ||
<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> | <!-- 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 /> | Commas: 36/35, 1029/1024<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 228.334<br /> | POTE generator: ~8/7 = 228.334<br /> | ||
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<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> | <!-- 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 /> | Commas: 36/35, 45/44, 1029/1024<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 227.373<br /> | POTE generator: ~8/7 = 227.373<br /> | ||
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<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> | <!-- 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 /> | Commas: 27/26, 36/35, 45/55, 507/500<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 227.230<br /> | POTE generator: ~8/7 = 227.230<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Spartan"></a><!-- ws:end:WikiTextHeadingRule:8 -->Spartan</h1> | <!-- 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 /> | Commas: 36/35, 56/55, 1029/1024<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 229.535<br /> | POTE generator: ~8/7 = 229.535<br /> | ||