Laconic family: Difference between revisions

Revision as of 02:39, 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 guest and made on 2011-10-18 02:39:43 UTC.

The original revision id was 265839542.

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.

=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]], 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 <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 />
<!-- 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 />
<a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~10/9 = 227.426<br />
<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 />
<a class="wiki_link" href="/Badness">Badness</a>: 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>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-10-18 01:21:30 UTC</tt>.<br>
+: 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>265829804</tt>.<br>
+: The original revision id was <tt>265839542</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>
 <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=
 Comma: 2187/2000
-POTE generator: ~10/9 = 227.426
+[[POTE generator]]: ~10/9 = 227.426
 Map: [&lt;1 1 1|, &lt;0 3 7|&gt;
-EDOs: 5, 16, 21, 37b
+[[EDO]]s: [[5edo|5]], [[16edo|16]], [[21edo|21]], 37b
-Badness: 0.1618
+[[Badness]]: 0.1618
 ==7-limit==
 Commas: 36/35, 1029/1024
@@ Line 26: / Line 26: @@
 Badness: 0.0607
 ==11-limit==
 Commas: 36/35, 45/44, 1029/1024
@@ Line 35: / Line 35: @@
 Badness: 0.0495
 ==13-limit==
 Commas: 27/26, 36/35, 45/55, 507/500
@@ Line 44: / Line 44: @@
 Badness: 0.0327
 =Spartan=
 Commas: 36/35, 56/55, 1029/1024
@@ Line 53: / Line 53: @@
 Badness: 0.0627</pre></div>
 <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;Laconic Family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;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.&lt;br /&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;Laconic Family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The Laconic family &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the &lt;a class="wiki_link" href="/Laconic%20comma"&gt;Laconic comma&lt;/a&gt;, 2187/2000, which is the difference between three &lt;a class="wiki_link" href="/10_9"&gt;10/9&lt;/a&gt;'s and a &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;. 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.&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="Laconic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Laconic&lt;/h1&gt;
   Comma: 2187/2000&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~10/9 = 227.426&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~10/9 = 227.426&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 1|, &amp;lt;0 3 7|&amp;gt;&lt;br /&gt;
-EDOs: 5, 16, 21, 37b&lt;br /&gt;
+&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/5edo"&gt;5&lt;/a&gt;, &lt;a class="wiki_link" href="/16edo"&gt;16&lt;/a&gt;, &lt;a class="wiki_link" href="/21edo"&gt;21&lt;/a&gt;, 37b&lt;br /&gt;
-Badness: 0.1618&lt;br /&gt;
+&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.1618&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Laconic-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7-limit&lt;/h2&gt;
-Commas: 36/35, 1029/1024&lt;br /&gt;
+ Commas: 36/35, 1029/1024&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~8/7 = 228.334&lt;br /&gt;
@@ Line 74: / Line 74: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Laconic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;11-limit&lt;/h2&gt;
-Commas: 36/35, 45/44, 1029/1024&lt;br /&gt;
+ Commas: 36/35, 45/44, 1029/1024&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~8/7 = 227.373&lt;br /&gt;
@@ Line 83: / Line 83: @@
 &lt;br /&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;
+ Commas: 27/26, 36/35, 45/55, 507/500&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~8/7 = 227.230&lt;br /&gt;
@@ Line 92: / Line 92: @@
 &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;
 POTE generator: ~8/7 = 229.535&lt;br /&gt;

Laconic family: Difference between revisions

Revision as of 02:39, 18 October 2011

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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