Mint temperaments: Difference between revisions

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<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>2012-04-~~22 16~~:46:02 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-01 19:21:04 UTC</tt>.<br>

: The original revision id was <tt>~~323915016~~</tt>.<br>

: The original revision id was <tt>328250038</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>

Line 103:

Badness: 0.0368

= =

Comma: 17496/15625

</pre></div>

POTE generator: ~6/5 = 284.293

Map: [<1 3 4|, <0 -6 -7|]

EDOs: 4, 17c, 21, 38c

Badness: 0.3559

==7-limit==

Commas: 36/35, 1029/1000

POTE generator: ~6/5 = 284.219

Map: [<1 3 4 4|, <0 -6 -7 -5|]

Wedgie: <<6 7 5 -3 -9 -8||

EDOs: 4, 17c, 21, 38c

Badness: 0.0611

==11-limit==

Commas: 36/35, 77/75, 352/343

POTE generator: ~6/5 = 283.253

Map: [<1 3 4 4 7|, <0 -6 -7 -5 -15|]

EDOs: 17c, 55cd

Badness: 0.0447

==13-limit==

Commas: 26/25, 36/35, 66/65, 352/343

POTE generator: ~6/5 = 282.856

Map: [<1 3 4 4 7 7|, <0 -6 -7 -5 -15 -14|]

EDOs: 17c

Badness: 0.0323</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"><html><head><title>Mint temperaments</title></head><body><a href="#Progression">Progression</a> | <a href="#Ripple">Ripple</a> | <a href="#Smate">Smate</a>

<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>Mint temperaments</title></head><body><a href="#Progression">Progression</a> | <a href="#Ripple">Ripple</a> | <a href="#Smate">Smate</a> | <a href="#toc10"> </a>

<br />

<br />

These are low complexity, high error temperaments tempering out the septimal quarter-tone, <a class="wiki_link" href="/36_35">36/35</a>. 36 is both a square and a <a class="wiki_link" href="/triangular%20number">triangular number</a>, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.<br />

<br />

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Line 235:

Map: [&lt;1 3 2 6 7 3|, &lt;0 -4 1 -9 -10 2|]<br />

EDOs: 14, 17c<br />

Badness: 0.0368</body></html></pre></div>

Badness: 0.0368<br />

<br />

<h1 id="toc10"> </h1>

Comma: 17496/15625<br />

<br />

POTE generator: ~6/5 = 284.293<br />

<br />

Map: [&lt;1 3 4|, &lt;0 -6 -7|]<br />

EDOs: 4, 17c, 21, 38c<br />

Badness: 0.3559<br />

<br />

<h2 id="toc11"><a name="Smate-7-limit"></a>7-limit</h2>

Commas: 36/35, 1029/1000<br />

<br />

POTE generator: ~6/5 = 284.219<br />

<br />

Map: [&lt;1 3 4 4|, &lt;0 -6 -7 -5|]<br />

Wedgie: &lt;&lt;6 7 5 -3 -9 -8||<br />

EDOs: 4, 17c, 21, 38c<br />

Badness: 0.0611<br />

<br />

<h2 id="toc12"><a name="Smate-11-limit"></a>11-limit</h2>

Commas: 36/35, 77/75, 352/343<br />

<br />

POTE generator: ~6/5 = 283.253<br />

<br />

Map: [&lt;1 3 4 4 7|, &lt;0 -6 -7 -5 -15|]<br />

EDOs: 17c, 55cd<br />

Badness: 0.0447<br />

<br />

<h2 id="toc13"><a name="Smate-13-limit"></a>13-limit</h2>

Commas: 26/25, 36/35, 66/65, 352/343 <br />

<br />

POTE generator: ~6/5 = 282.856<br />

<br />

Map: [&lt;1 3 4 4 7 7|, &lt;0 -6 -7 -5 -15 -14|]<br />

EDOs: 17c<br />

Badness: 0.0323</body></html></pre></div>

@@ 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>2012-04-22 16:46:02 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-01 19:21:04 UTC</tt>.<br>
-: The original revision id was <tt>323915016</tt>.<br>
+: The original revision id was <tt>328250038</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>
@@ Line 103: / Line 103: @@
 Badness: 0.0368
+= =
+Comma: 17496/15625
-</pre></div>
+POTE generator: ~6/5 = 284.293
+Map: [&lt;1 3 4|, &lt;0 -6 -7|]
+EDOs: 4, 17c, 21, 38c
+Badness: 0.3559
+==7-limit==
+Commas: 36/35, 1029/1000
+POTE generator: ~6/5 = 284.219
+Map: [&lt;1 3 4 4|, &lt;0 -6 -7 -5|]
+Wedgie: &lt;&lt;6 7 5 -3 -9 -8||
+EDOs: 4, 17c, 21, 38c
+Badness: 0.0611
+==11-limit==
+Commas: 36/35, 77/75, 352/343
+POTE generator: ~6/5 = 283.253
+Map: [&lt;1 3 4 4 7|, &lt;0 -6 -7 -5 -15|]
+EDOs: 17c, 55cd
+Badness: 0.0447
+==13-limit==
+Commas: 26/25, 36/35, 66/65, 352/343
+POTE generator: ~6/5 = 282.856
+Map: [&lt;1 3 4 4 7 7|, &lt;0 -6 -7 -5 -15 -14|]
+EDOs: 17c
+Badness: 0.0323</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;Mint temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:20:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;a href="#Progression"&gt;Progression&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt; | &lt;a href="#Ripple"&gt;Ripple&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt; | &lt;a href="#Smate"&gt;Smate&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&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;Mint temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:28:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;a href="#Progression"&gt;Progression&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt;&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt;&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt; | &lt;a href="#Ripple"&gt;Ripple&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt; | &lt;a href="#Smate"&gt;Smate&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt; | &lt;a href="#toc10"&gt; &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;br /&gt;
 These are low complexity, high error temperaments tempering out the septimal quarter-tone, &lt;a class="wiki_link" href="/36_35"&gt;36/35&lt;/a&gt;. 36 is both a square and a &lt;a class="wiki_link" href="/triangular%20number"&gt;triangular number&lt;/a&gt;, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.&lt;br /&gt;
 &lt;br /&gt;
@@ Line 201: / Line 235: @@
 Map: [&amp;lt;1 3 2 6 7 3|, &amp;lt;0 -4 1 -9 -10 2|]&lt;br /&gt;
 EDOs: 14, 17c&lt;br /&gt;
-Badness: 0.0368&lt;/body&gt;&lt;/html&gt;</pre></div>
+Badness: 0.0368&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt; &lt;/h1&gt;
+Comma: 17496/15625&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~6/5 = 284.293&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 3 4|, &amp;lt;0 -6 -7|]&lt;br /&gt;
+EDOs: 4, 17c, 21, 38c&lt;br /&gt;
+Badness: 0.3559&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="Smate-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;7-limit&lt;/h2&gt;
+Commas: 36/35, 1029/1000&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~6/5 = 284.219&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 3 4 4|, &amp;lt;0 -6 -7 -5|]&lt;br /&gt;
+Wedgie: &amp;lt;&amp;lt;6 7 5 -3 -9 -8||&lt;br /&gt;
+EDOs: 4, 17c, 21, 38c&lt;br /&gt;
+Badness: 0.0611&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Smate-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;11-limit&lt;/h2&gt;
+Commas: 36/35, 77/75, 352/343&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~6/5 = 283.253&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 3 4 4 7|, &amp;lt;0 -6 -7 -5 -15|]&lt;br /&gt;
+EDOs: 17c, 55cd&lt;br /&gt;
+Badness: 0.0447&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Smate-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;13-limit&lt;/h2&gt;
+Commas: 26/25, 36/35, 66/65, 352/343 &lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~6/5 = 282.856&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 3 4 4 7 7|, &amp;lt;0 -6 -7 -5 -15 -14|]&lt;br /&gt;
+EDOs: 17c&lt;br /&gt;
+Badness: 0.0323&lt;/body&gt;&lt;/html&gt;</pre></div>