Orwellismic family: Difference between revisions

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**Imported revision 177148335 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 177148403 - 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:genewardsmith|genewardsmith]] and made on <tt>2010-11-07 03:22:57 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-07 03:24:07 UTC</tt>.<br>
: The original revision id was <tt>177148335</tt>.<br>
: The original revision id was <tt>177148403</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>
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Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142
Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142


Scales: [[orwellismic]]
Scales: [[orwellismic9]]


===Unidecimal orwellismic===
===Unidecimal orwellismic===
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Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142&lt;br /&gt;
Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/orwellismic"&gt;orwellismic&lt;/a&gt;&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/orwellismic9"&gt;orwellismic9&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Unidecimal orwellismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Unidecimal orwellismic&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Unidecimal orwellismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Unidecimal orwellismic&lt;/h3&gt;

Revision as of 03:24, 7 November 2010

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2010-11-07 03:24:07 UTC.
The original revision id was 177148403.
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 orwellismic family of rank three temperaments tempers out the orwellisma, 1728/1715.

Comma: 1728/1715

7- and 9-limit minimax
[<1 0 0 0|, <0 1 0 0|, <3/2 3/4 3/4 -3/4|, 
<3/2 3/4 -1/4 1/4|]
Eigenmonzos: 2, 4/3, 7/5

Lattice basis: 7/6 0.7526 3/2 1.3931
Angle(7/6, 3/2) = 97.5081
Map to lattice: [<0 0 -3 1|, <0 1 0 1|]

Map: [<1 0 0 2|, <0 1 0 1|, <0 0 3 -1|]
Generators: 2, 3, 12/7
Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142

Scales: [[orwellismic9]]

===Unidecimal orwellismic===
Commas: 1728/1715, 540/539

11-limit minimax
[<1 0 0 0 0|, <-2/9 0 -5/9 5/9 4/9|, <4/3 0 1/3 -1/3 1/3|, 
<4/3 0 -2/3 2/3 1/3|, <0 0 0 0 1|]
Eigenmonzos: 2, 11/8, 7/5

Lattice basis: 7/6 0.5167 3/2 1.3055
Angle(7/6, 3/2) = 79.0940
Map to lattice: [<0 0 -3 1 -5|, <0 1 0 1 1|]

Map: [<1 0 0 2 -2|, <0 1 0 1 1|, <0 0 3 -1 5|]
Generators: 2, 3, 12/7

Scales: [[orwellismic22_11]]

Original HTML content:

<html><head><title>Orwellismic family</title></head><body>The orwellismic family of rank three temperaments tempers out the orwellisma, 1728/1715.<br />
<br />
Comma: 1728/1715<br />
<br />
7- and 9-limit minimax<br />
[&lt;1 0 0 0|, &lt;0 1 0 0|, &lt;3/2 3/4 3/4 -3/4|, <br />
&lt;3/2 3/4 -1/4 1/4|]<br />
Eigenmonzos: 2, 4/3, 7/5<br />
<br />
Lattice basis: 7/6 0.7526 3/2 1.3931<br />
Angle(7/6, 3/2) = 97.5081<br />
Map to lattice: [&lt;0 0 -3 1|, &lt;0 1 0 1|]<br />
<br />
Map: [&lt;1 0 0 2|, &lt;0 1 0 1|, &lt;0 0 3 -1|]<br />
Generators: 2, 3, 12/7<br />
Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142<br />
<br />
Scales: <a class="wiki_link" href="/orwellismic9">orwellismic9</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Unidecimal orwellismic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Unidecimal orwellismic</h3>
Commas: 1728/1715, 540/539<br />
<br />
11-limit minimax<br />
[&lt;1 0 0 0 0|, &lt;-2/9 0 -5/9 5/9 4/9|, &lt;4/3 0 1/3 -1/3 1/3|, <br />
&lt;4/3 0 -2/3 2/3 1/3|, &lt;0 0 0 0 1|]<br />
Eigenmonzos: 2, 11/8, 7/5<br />
<br />
Lattice basis: 7/6 0.5167 3/2 1.3055<br />
Angle(7/6, 3/2) = 79.0940<br />
Map to lattice: [&lt;0 0 -3 1 -5|, &lt;0 1 0 1 1|]<br />
<br />
Map: [&lt;1 0 0 2 -2|, &lt;0 1 0 1 1|, &lt;0 0 3 -1 5|]<br />
Generators: 2, 3, 12/7<br />
<br />
Scales: <a class="wiki_link" href="/orwellismic22_11">orwellismic22_11</a></body></html>