Laconic family: Difference between revisions
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Wikispaces>xenwolf **Imported revision 265927684 - Original comment: it would be better to have an explanation of the letter b on the page** |
Wikispaces>keenanpepper **Imported revision 266006216 - 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:keenanpepper|keenanpepper]] and made on <tt>2011-10-18 12:14:50 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>266006216</tt>.<br> | ||
: The revision comment was: <tt> | : 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 [[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. | <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. The only 7-limit extension that makes any sense to use is [[gorgo]], which also tempers out 1029/1024. | ||
=Laconic= | =Laconic= | ||
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[[Badness]]: 0.1618 | [[Badness]]: 0.1618 | ||
== | ==Gorgo== | ||
Commas: 36/35, 1029/1024 | Commas: 36/35, 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 <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 /> | <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. The only 7-limit extension that makes any sense to use is <a class="wiki_link" href="/gorgo">gorgo</a>, which also tempers out 1029/1024.<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> | ||
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<a class="wiki_link" href="/Badness">Badness</a>: 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- | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Laconic-Gorgo"></a><!-- ws:end:WikiTextHeadingRule:2 -->Gorgo</h2> | ||
Commas: 36/35, 1029/1024<br /> | Commas: 36/35, 1029/1024<br /> | ||
<br /> | <br /> | ||
Revision as of 12:14, 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 keenanpepper and made on 2011-10-18 12:14:50 UTC.
- The original revision id was 266006216.
- 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 [[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. The only 7-limit extension that makes any sense to use is [[gorgo]], which also tempers out 1029/1024. =Laconic= Comma: 2187/2000 [[POTE generator]]: ~10/9 = 227.426 Map: [<1 1 1|, <0 3 7|> [[EDO]]s: [[5edo|5]], [[16edo|16]], [[21edo|21]], [[37edo|37]]b [[Badness]]: 0.1618 ==Gorgo== 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 <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. The only 7-limit extension that makes any sense to use is <a class="wiki_link" href="/gorgo">gorgo</a>, which also tempers out 1029/1024.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Laconic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Laconic</h1> Comma: 2187/2000<br /> <br /> <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~10/9 = 227.426<br /> <br /> Map: [<1 1 1|, <0 3 7|><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>, <a class="wiki_link" href="/37edo">37</a>b<br /> <a class="wiki_link" href="/Badness">Badness</a>: 0.1618<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Laconic-Gorgo"></a><!-- ws:end:WikiTextHeadingRule:2 -->Gorgo</h2> Commas: 36/35, 1029/1024<br /> <br /> POTE generator: ~8/7 = 228.334<br /> <br /> Map: [<1 1 1 3|, <0 3 7 -1|><br /> EDOs: 5, 16, 21, 37b<br /> Badness: 0.0607<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><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: [<1 1 1 3 1|, <0 3 7 -1 13|><br /> EDOs: 16, 21, 37b<br /> Badness: 0.0495<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><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: [<1 1 1 3 1 2|, <0 3 7 -1 13 9|><br /> EDOs 16, 21, 37b<br /> Badness: 0.0327<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><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: [<1 1 1 3 5|, <0 3 7 -1 -8|><br /> EDOs: 5, 21<br /> Badness: 0.0627</body></html>