Vishnuzmic family: Difference between revisions

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~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

__FORCETOC__

~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~

The ''vishnuzmic family'' of temperaments tempers out the vishnuzma, |23 6 -14> = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven [[25/24|just chromatic semitones]] of size 25/24 fall short of a [[4/3|just perfect fourth]] of 4/3, or in other words (4/3)/(25/24)^7.

~~: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-07-11 12:49:56 UTC</tt>.<br>~~

: The ~~original revision id was <tt>441089708</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">[[toc]]

~~The //~~vishnuzmic family// of temperaments tempers out the vishnuzma, |23 6 -14> = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven [[~~25_24~~|just chromatic semitones]] of size 25/24 fall short of a [[~~4_3~~|just perfect fourth]] of 4/3, or in other words (4/3)/(25/24)^7.

Comma: 6115295232/6103515625

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Map: [<2 4 5|, <0 -7 -3|]

EDOs: [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[84edo|84]], [[118edo|118]], [[152edo|152]], [[270edo|270]], [[388edo|380]], [[422edo]], 506, 894, 1400

EDOs: [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[84edo|84]], [[118edo|118]], [[152edo|152]], [[270edo|270]], [[388edo|380]], [[422edo|422edo]], 506, 894, 1400

Badness: 0.0312

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Map: [<2 4 5 10|, <0 -7 -3 -37|]

EDOs: 118, 152, 270, [[1232edo|1232]], [[1502edo|1502]]

Badness: 0.0419

Line 33:

Line 29:

Map: [<2 4 5 10 10|, <0 -7 -3 -37 -26|]

EDOs: 118, 152, 270, [[422edo]], [[962edo|962]], 1232, 1502

EDOs: 118, 152, 270, [[422edo|422edo]], [[962edo|962]], 1232, 1502

Badness: 0.0142

Line 42:

Line 40:

Map: [<2 4 5 10 10 1|, <0 -7 -3 -37 -26 54|]

EDOs: 118, 152, 270, 928, 1198, 1468

Badness: 0.0237

Line 51:

Map: [<2 4 5 10 10 17|, <0 -7 -3 -37 -26 -81|]

EDOs: 270, [[682edo|692]], 962

Badness: 0.0158

Line 60:

Line 62:

Map: [<2, 4, 5, 6|, <0, -28, -12, -13|]

EDOs: 68, 134, 202, 270, 742, 1012

Badness: 0.0450~~</pre></div>~~

~~<h4>Original HTML content:</h4>~~

Badness: 0.0450

~~<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>Vishnuzmic~~ family</title></head><body><div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 1em;"><a href="#Vishnu">Vishnu</a></div>

[[Category:family]]

~~<div style="margin-left: 2em;"><a href="#Vishnu-11-limit">11-limit</a></div>~~

[[Category:temperament_family]]

~~<div style="margin-left: 2em;"><a href="#Vishnu-Ananta">Ananta</a></div>~~

[[Category:temperaments]]

~~<div style="margin-left: 2em;"><a href="#Vishnu-Acyuta">Acyuta</a></div>~~

[[Category:vishnu]]

~~<div style="margin-left: 1em;"><a href="#Quarvish">Quarvish</a></div>~~

[[Category:vishnuzmic]]

~~</div>~~

~~<br />~~

~~The <em>vishnuzmic family</em> of~~ temperaments tempers out the vishnuzma, |23 6 -14&gt; = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven <a class="wiki_link" href="/25_24">just chromatic semitones</a> of size 25/24 fall short of a <a class="wiki_link" href="/4_3">just perfect fourth</a> of 4/3, or in other words (4/3)/(25/24)^7.<br />

~~<br />~~

~~Comma~~: ~~6115295232/6103515625<br />~~

~~<br />~~

~~POTE generator: ~25/24 = 71.1432<br />~~

~~<br />~~

~~Map: [&lt;2 4 5|, &lt;0 -7 -3|~~]~~<br />~~

EDOs: <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/34edo">34</a>, <a class="wiki_link" href="/50edo">50</a>, <a class="wiki_link" href="/84edo">84</a>, <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/152edo">152</a>, <a class="wiki_link" href="/270edo">270</a>, <a class="wiki_link" href="/388edo">380</a>, <a class="wiki_link" href="/422edo">422edo</a>, 506, 894, 1400<br />

~~Badness: 0.0312<br />~~

~~<br />~~

~~<h1 id="toc0"><a name="Vishnu"></a>Vishnu</h1>~~

~~Commas: 4375/4374, 29360128/29296875<br />~~

~~<br />~~

~~POTE generator: ~25/24 = 71.1075<br />~~

~~<br />~~

~~Map: [&lt;2 4 5 10|, &lt;0 -7 -3 -37|~~]~~<br />~~

~~EDOs: 118, 152, 270, <a class="wiki_link" href="/1232edo">1232</a>, <a class="wiki_link" href="/1502edo">1502</a><br />~~

~~Badness: 0.0419<br />~~

~~<br />~~

~~<h2 id="toc1"><a name="Vishnu-11-limit"></a>11-limit</h2>~~

~~Commas: 3025/3024, 4375/4374, 5632/5625<br />~~

~~<br />~~

~~POTE generator: ~25/24 = 71.1048<br />~~

~~<br />~~

~~Map:~~ [~~&lt;2 4 5 10 10|, &lt;0 -7 -3 -37 -26|]<br />~~

~~EDOs: 118, 152, 270, <a class="wiki_link" href="/422edo">422edo</a>, <a class="wiki_link" href="/962edo">962</a>, 1232, 1502<br />~~

~~Badness: 0.0142<br />~~

~~<br />~~

~~<h2 id="toc2"><a name="Vishnu-Ananta"></a>Ananta</h2>~~

~~Commas: 1001/1000, 3025/3024, 4096/4095, 4375/4374<br />~~

~~<br />~~

~~POTE generator: ~25/24 = 71.1170<br />~~

~~<br />~~

~~Map:~~ [~~&lt;2 4 5 10 10 1|, &lt;0 -7 -3 -37 -26 54|]<br />~~

~~EDOs~~: ~~118, 152, 270, 928, 1198, 1468<br />~~

~~Badness: 0.0237<br />~~

~~<br />~~

~~<h2 id="toc3"><a name="Vishnu-Acyuta"></a>Acyuta</h2>~~

~~Commas: 1716/1715, 2080/2079, 3025/3024, 5632/5625<br />~~

~~<br />~~

~~POTE generator: ~25/24 = 71.1001<br />~~

~~<br />~~

~~Map: [&lt;2 4 5 10 10 17|, &lt;0 -7 -3 -37 -26 -81|~~]~~<br />~~

~~EDOs: 270, <a class="wiki_link" href="/682edo">692</a>, 962<br />~~

~~Badness: 0.0158<br />~~

~~<br />~~

~~<h1 id="toc4"><a name="Quarvish"></a>Quarvish</h1>~~

~~Commas: 2401/2400, 6115295232/6103515625<br />~~

~~<br />~~

~~POTE generator: ~7/5 = 582.2134<br />~~

~~<br />~~

~~Map: [&lt;2, 4, 5, 6|, &lt;0, -28, -12, -13|~~]~~<br />~~

~~EDOs: 68, 134, 202, 270, 742, 1012<br />~~

~~Badness: 0.0450</body></html></pre></div>~~

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+__FORCETOC__
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+The ''vishnuzmic family'' of temperaments tempers out the vishnuzma, |23 6 -14&gt; = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven [[25/24|just chromatic semitones]] of size 25/24 fall short of a [[4/3|just perfect fourth]] of 4/3, or in other words (4/3)/(25/24)^7.
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-07-11 12:49:56 UTC</tt>.<br>
-: The original revision id was <tt>441089708</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">[[toc]]
-The //vishnuzmic family// of temperaments tempers out the vishnuzma, |23 6 -14&gt; = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven [[25_24|just chromatic semitones]] of size 25/24 fall short of a [[4_3|just perfect fourth]] of 4/3, or in other words (4/3)/(25/24)^7.
 Comma: 6115295232/6103515625
@@ Line 15: / Line 7: @@
 Map: [&lt;2 4 5|, &lt;0 -7 -3|]
-EDOs: [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[84edo|84]], [[118edo|118]], [[152edo|152]], [[270edo|270]], [[388edo|380]], [[422edo]], 506, 894, 1400
+EDOs: [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[84edo|84]], [[118edo|118]], [[152edo|152]], [[270edo|270]], [[388edo|380]], [[422edo|422edo]], 506, 894, 1400
 Badness: 0.0312
@@ Line 24: / Line 18: @@
 Map: [&lt;2 4 5 10|, &lt;0 -7 -3 -37|]
 EDOs: 118, 152, 270, [[1232edo|1232]], [[1502edo|1502]]
 Badness: 0.0419
@@ Line 33: / Line 29: @@
 Map: [&lt;2 4 5 10 10|, &lt;0 -7 -3 -37 -26|]
-EDOs: 118, 152, 270, [[422edo]], [[962edo|962]], 1232, 1502
+EDOs: 118, 152, 270, [[422edo|422edo]], [[962edo|962]], 1232, 1502
 Badness: 0.0142
@@ Line 42: / Line 40: @@
 Map: [&lt;2 4 5 10 10 1|, &lt;0 -7 -3 -37 -26 54|]
 EDOs: 118, 152, 270, 928, 1198, 1468
 Badness: 0.0237
@@ Line 51: / Line 51: @@
 Map: [&lt;2 4 5 10 10 17|, &lt;0 -7 -3 -37 -26 -81|]
 EDOs: 270, [[682edo|692]], 962
 Badness: 0.0158
@@ Line 60: / Line 62: @@
 Map: [&lt;2, 4, 5, 6|, &lt;0, -28, -12, -13|]
 EDOs: 68, 134, 202, 270, 742, 1012
-Badness: 0.0450</pre></div>
-<h4>Original HTML content:</h4>
+Badness: 0.0450
-<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;Vishnuzmic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:10:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Vishnu"&gt;Vishnu&lt;/a&gt;&lt;/div&gt;
+[[Category:family]]
-&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Vishnu-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
+[[Category:temperament_family]]
-&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Vishnu-Ananta"&gt;Ananta&lt;/a&gt;&lt;/div&gt;
+[[Category:temperaments]]
-&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Vishnu-Acyuta"&gt;Acyuta&lt;/a&gt;&lt;/div&gt;
+[[Category:vishnu]]
-&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Quarvish"&gt;Quarvish&lt;/a&gt;&lt;/div&gt;
+[[Category:vishnuzmic]]
-&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;br /&gt;
-The &lt;em&gt;vishnuzmic family&lt;/em&gt; of temperaments tempers out the vishnuzma, |23 6 -14&amp;gt; = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven &lt;a class="wiki_link" href="/25_24"&gt;just chromatic semitones&lt;/a&gt; of size 25/24 fall short of a &lt;a class="wiki_link" href="/4_3"&gt;just perfect fourth&lt;/a&gt; of 4/3, or in other words (4/3)/(25/24)^7.&lt;br /&gt;
-&lt;br /&gt;
-Comma: 6115295232/6103515625&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~25/24 = 71.1432&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;2 4 5|, &amp;lt;0 -7 -3|]&lt;br /&gt;
-EDOs: &lt;a class="wiki_link" href="/16edo"&gt;16&lt;/a&gt;, &lt;a class="wiki_link" href="/18edo"&gt;18&lt;/a&gt;, &lt;a class="wiki_link" href="/34edo"&gt;34&lt;/a&gt;, &lt;a class="wiki_link" href="/50edo"&gt;50&lt;/a&gt;, &lt;a class="wiki_link" href="/84edo"&gt;84&lt;/a&gt;, &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/152edo"&gt;152&lt;/a&gt;, &lt;a class="wiki_link" href="/270edo"&gt;270&lt;/a&gt;, &lt;a class="wiki_link" href="/388edo"&gt;380&lt;/a&gt;, &lt;a class="wiki_link" href="/422edo"&gt;422edo&lt;/a&gt;, 506, 894, 1400&lt;br /&gt;
-Badness: 0.0312&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="Vishnu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vishnu&lt;/h1&gt;
-Commas: 4375/4374, 29360128/29296875&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~25/24 = 71.1075&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;2 4 5 10|, &amp;lt;0 -7 -3 -37|]&lt;br /&gt;
-EDOs: 118, 152, 270, &lt;a class="wiki_link" href="/1232edo"&gt;1232&lt;/a&gt;, &lt;a class="wiki_link" href="/1502edo"&gt;1502&lt;/a&gt;&lt;br /&gt;
-Badness: 0.0419&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="Vishnu-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
-Commas: 3025/3024, 4375/4374, 5632/5625&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~25/24 = 71.1048&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;2 4 5 10 10|, &amp;lt;0 -7 -3 -37 -26|]&lt;br /&gt;
-EDOs: 118, 152, 270, &lt;a class="wiki_link" href="/422edo"&gt;422edo&lt;/a&gt;, &lt;a class="wiki_link" href="/962edo"&gt;962&lt;/a&gt;, 1232, 1502&lt;br /&gt;
-Badness: 0.0142&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Vishnu-Ananta"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Ananta&lt;/h2&gt;
-Commas: 1001/1000, 3025/3024, 4096/4095, 4375/4374&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~25/24 = 71.1170&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;2 4 5 10 10 1|, &amp;lt;0 -7 -3 -37 -26 54|]&lt;br /&gt;
-EDOs: 118, 152, 270, 928, 1198, 1468&lt;br /&gt;
-Badness: 0.0237&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Vishnu-Acyuta"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Acyuta&lt;/h2&gt;
-Commas: 1716/1715, 2080/2079, 3025/3024, 5632/5625&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~25/24 = 71.1001&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;2 4 5 10 10 17|, &amp;lt;0 -7 -3 -37 -26 -81|]&lt;br /&gt;
-EDOs: 270, &lt;a class="wiki_link" href="/682edo"&gt;692&lt;/a&gt;, 962&lt;br /&gt;
-Badness: 0.0158&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Quarvish"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Quarvish&lt;/h1&gt;
-Commas: 2401/2400, 6115295232/6103515625&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~7/5 = 582.2134&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;2, 4, 5, 6|, &amp;lt;0, -28, -12, -13|]&lt;br /&gt;
-EDOs: 68, 134, 202, 270, 742, 1012&lt;br /&gt;
-Badness: 0.0450&lt;/body&gt;&lt;/html&gt;</pre></div>