Orwellismic family: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 234952632 - Original comment: **
Wikispaces>xenwolf
**Imported revision 235938168 - Original comment: links**
Line 1: Line 1:
<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>2011-06-07 15:58:45 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-11 12:02:50 UTC</tt>.<br>
: The original revision id was <tt>234952632</tt>.<br>
: The original revision id was <tt>235938168</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>links</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 orwellismic family of rank three temperaments tempers out the orwellisma, 1728/1715.
<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 orwellismic family of [[rank three temperaments]] tempers out the orwellisma, 1728/1715.


Comma: 1728/1715
[[Comma]]: 1728/1715


7- and 9-limit minimax
[[7-limit|7-]] and [[9-limit]] [[minimax]]
[&lt;1 0 0 0|, &lt;0 1 0 0|, &lt;3/2 3/4 3/4 -3/4|,  
[&lt;1 0 0 0|, &lt;0 1 0 0|, &lt;3/2 3/4 3/4 -3/4|,  
&lt;3/2 3/4 -1/4 1/4|]
&lt;3/2 3/4 -1/4 1/4|]
Eigenmonzos: 2, 4/3, 7/5
[[Eigenmonzo]]s: 2, 4/3, 7/5


Lattice basis: 7/6 0.7526 3/2 1.3931
Lattice basis: 7/6 0.7526 3/2 1.3931
Line 19: Line 19:
Map to lattice: [&lt;0 0 -3 1|, &lt;0 1 0 1|]
Map to lattice: [&lt;0 0 -3 1|, &lt;0 1 0 1|]


Map: [&lt;1 0 0 2|, &lt;0 1 0 1|, &lt;0 0 3 -1|]
[[Map]]: [&lt;1 0 0 2|, &lt;0 1 0 1|, &lt;0 0 3 -1|]
Generators: 2, 3, 12/7
[[Generator]]s: 2, 3, 12/7
Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142
Edos: [[9edo|9]], [[14edo|14]], [[17edo|17]], [[18edo|18]], [[22edo|22]], [[26edo|26]], [[27edo|27]], [[31edo|31]], [[49edo|49]], [[53edo|53]], [[58edo|58]], [[80edo|80]], [[84edo|84]], [[111edo|111]], [[142edo|142]]
Badness: 0.000187
[[Badness]]: 0.000187


Scales: [[orwellismic9]]
[[Scale]]s: [[orwellismic9]]


==Guanyin==
==Guanyin==
Commas: 176/175, 540/539
[[Comma]]s: 176/175, 540/539


11-limit minimax
[[11-limit]] [[minimax]]
[&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|,  
[&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|,  
&lt;4/3 0 -2/3 2/3 1/3|, &lt;0 0 0 0 1|]
&lt;4/3 0 -2/3 2/3 1/3|, &lt;0 0 0 0 1|]
Eigenmonzos: 2, 11/8, 7/5
[[Eigenmonzo]]s: 2, 11/8, 7/5


Lattice basis: 7/6 0.5167 3/2 1.3055
Lattice basis: 7/6 0.5167 3/2 1.3055
Line 38: Line 38:
Map to lattice: [&lt;0 0 -3 1 -5|, &lt;0 1 0 1 1|]
Map to lattice: [&lt;0 0 -3 1 -5|, &lt;0 1 0 1 1|]


Map: [&lt;1 0 0 2 -2|, &lt;0 1 0 1 1|, &lt;0 0 3 -1 5|]
[[Map]]: [&lt;1 0 0 2 -2|, &lt;0 1 0 1 1|, &lt;0 0 3 -1 5|]
Generators: 2, 3, 12/7
[[Generator]]s: 2, 3, 12/7
EDOs: 9, 22, 31, 53, 58, 80, 111
EDOs: [[9edo|9]], [[22edo|22]], [[31edo|31]], [[53edo|53], [[58edo|58]], [[80edo|80]], [[111edo|111]]
Badness: 0.000411
[[Badness]]: 0.000411


Scales: [[guanyin22]]
[[Scale]]s: [[guanyin22]]
Music:  
Music:  
[[http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297|Trio for SoftSaturn, NebulaSing and TromBonehead]]  [[http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3|play]] by [[Gene Ward Smith]]
[[http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297|Trio for SoftSaturn, NebulaSing and TromBonehead]]  [[http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3|play]] by [[Gene Ward Smith]]


===13-limit===
===[[13-limit]]===
Commas: 176/175, 351/350, 540/539
[[Comma]]s: 176/175, 351/350, 540/539


Map: [&lt;1 0 0 2 -2 3|, &lt;0 1 0 1 1 -2|, &lt;0 0 3 -1 5 5|]
[[Map]]: [&lt;1 0 0 2 -2 3|, &lt;0 1 0 1 1 -2|, &lt;0 0 3 -1 5 5|]
EDOs: 22, 31, 53, 58, 80, 111
EDOs: [[22edo|22]], [[31edo|31]], [[53edo|53]], [[58edo|58]], [[80edo|80]], [[111edo|111]]
Badness: 0.000758
[[Badness]]: 0.000758


===Georgian===
===Georgian===
Commas: 144/143, 176/175, 196/195
[[Comma]]s: 144/143, 176/175, 196/195


Map: [&lt;1 0 0 2 -2 6|, &lt;0 1 0 1 1 1|, &lt;0 0 3 -1 5 -5|]
[[Map]]: [&lt;1 0 0 2 -2 6|, &lt;0 1 0 1 1 1|, &lt;0 0 3 -1 5 -5|]
EDOs: 9, 31, 58
EDOs: [[9edo|9]], [[31edo|31]], [[58edo|58]]
Badness: 0.000904</pre></div>
[[Badness]]: 0.000904</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Orwellismic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The orwellismic family of rank three temperaments tempers out the orwellisma, 1728/1715.&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;Orwellismic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The orwellismic family of &lt;a class="wiki_link" href="/rank%20three%20temperaments"&gt;rank three temperaments&lt;/a&gt; tempers out the orwellisma, 1728/1715.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Comma: 1728/1715&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 1728/1715&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
7- and 9-limit minimax&lt;br /&gt;
&lt;a class="wiki_link" href="/7-limit"&gt;7-&lt;/a&gt; and &lt;a class="wiki_link" href="/9-limit"&gt;9-limit&lt;/a&gt; &lt;a class="wiki_link" href="/minimax"&gt;minimax&lt;/a&gt;&lt;br /&gt;
[&amp;lt;1 0 0 0|, &amp;lt;0 1 0 0|, &amp;lt;3/2 3/4 3/4 -3/4|, &lt;br /&gt;
[&amp;lt;1 0 0 0|, &amp;lt;0 1 0 0|, &amp;lt;3/2 3/4 3/4 -3/4|, &lt;br /&gt;
&amp;lt;3/2 3/4 -1/4 1/4|]&lt;br /&gt;
&amp;lt;3/2 3/4 -1/4 1/4|]&lt;br /&gt;
Eigenmonzos: 2, 4/3, 7/5&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzo&lt;/a&gt;s: 2, 4/3, 7/5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 7/6 0.7526 3/2 1.3931&lt;br /&gt;
Lattice basis: 7/6 0.7526 3/2 1.3931&lt;br /&gt;
Line 74: Line 74:
Map to lattice: [&amp;lt;0 0 -3 1|, &amp;lt;0 1 0 1|]&lt;br /&gt;
Map to lattice: [&amp;lt;0 0 -3 1|, &amp;lt;0 1 0 1|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 2|, &amp;lt;0 1 0 1|, &amp;lt;0 0 3 -1|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 0 0 2|, &amp;lt;0 1 0 1|, &amp;lt;0 0 3 -1|]&lt;br /&gt;
Generators: 2, 3, 12/7&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generator&lt;/a&gt;s: 2, 3, 12/7&lt;br /&gt;
Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142&lt;br /&gt;
Edos: &lt;a class="wiki_link" href="/9edo"&gt;9&lt;/a&gt;, &lt;a class="wiki_link" href="/14edo"&gt;14&lt;/a&gt;, &lt;a class="wiki_link" href="/17edo"&gt;17&lt;/a&gt;, &lt;a class="wiki_link" href="/18edo"&gt;18&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/26edo"&gt;26&lt;/a&gt;, &lt;a class="wiki_link" href="/27edo"&gt;27&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/49edo"&gt;49&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58&lt;/a&gt;, &lt;a class="wiki_link" href="/80edo"&gt;80&lt;/a&gt;, &lt;a class="wiki_link" href="/84edo"&gt;84&lt;/a&gt;, &lt;a class="wiki_link" href="/111edo"&gt;111&lt;/a&gt;, &lt;a class="wiki_link" href="/142edo"&gt;142&lt;/a&gt;&lt;br /&gt;
Badness: 0.000187&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.000187&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/orwellismic9"&gt;orwellismic9&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Scale"&gt;Scale&lt;/a&gt;s: &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;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Guanyin"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Guanyin&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Guanyin"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Guanyin&lt;/h2&gt;
Commas: 176/175, 540/539&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 176/175, 540/539&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
11-limit minimax&lt;br /&gt;
&lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; &lt;a class="wiki_link" href="/minimax"&gt;minimax&lt;/a&gt;&lt;br /&gt;
[&amp;lt;1 0 0 0 0|, &amp;lt;-2/9 0 -5/9 5/9 4/9|, &amp;lt;4/3 0 1/3 -1/3 1/3|, &lt;br /&gt;
[&amp;lt;1 0 0 0 0|, &amp;lt;-2/9 0 -5/9 5/9 4/9|, &amp;lt;4/3 0 1/3 -1/3 1/3|, &lt;br /&gt;
&amp;lt;4/3 0 -2/3 2/3 1/3|, &amp;lt;0 0 0 0 1|]&lt;br /&gt;
&amp;lt;4/3 0 -2/3 2/3 1/3|, &amp;lt;0 0 0 0 1|]&lt;br /&gt;
Eigenmonzos: 2, 11/8, 7/5&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzo&lt;/a&gt;s: 2, 11/8, 7/5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 7/6 0.5167 3/2 1.3055&lt;br /&gt;
Lattice basis: 7/6 0.5167 3/2 1.3055&lt;br /&gt;
Line 93: Line 93:
Map to lattice: [&amp;lt;0 0 -3 1 -5|, &amp;lt;0 1 0 1 1|]&lt;br /&gt;
Map to lattice: [&amp;lt;0 0 -3 1 -5|, &amp;lt;0 1 0 1 1|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 2 -2|, &amp;lt;0 1 0 1 1|, &amp;lt;0 0 3 -1 5|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 0 0 2 -2|, &amp;lt;0 1 0 1 1|, &amp;lt;0 0 3 -1 5|]&lt;br /&gt;
Generators: 2, 3, 12/7&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generator&lt;/a&gt;s: 2, 3, 12/7&lt;br /&gt;
EDOs: 9, 22, 31, 53, 58, 80, 111&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/9edo"&gt;9&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53], [[58edo|58&lt;/a&gt;, &lt;a class="wiki_link" href="/80edo"&gt;80&lt;/a&gt;, &lt;a class="wiki_link" href="/111edo"&gt;111&lt;/a&gt;&lt;br /&gt;
Badness: 0.000411&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.000411&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/guanyin22"&gt;guanyin22&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Scale"&gt;Scale&lt;/a&gt;s: &lt;a class="wiki_link" href="/guanyin22"&gt;guanyin22&lt;/a&gt;&lt;br /&gt;
Music: &lt;br /&gt;
Music: &lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297" rel="nofollow"&gt;Trio for SoftSaturn, NebulaSing and TromBonehead&lt;/a&gt;  &lt;a class="wiki_link_ext" href="http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3" rel="nofollow"&gt;play&lt;/a&gt; by &lt;a class="wiki_link" href="/Gene%20Ward%20Smith"&gt;Gene Ward Smith&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297" rel="nofollow"&gt;Trio for SoftSaturn, NebulaSing and TromBonehead&lt;/a&gt;  &lt;a class="wiki_link_ext" href="http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3" rel="nofollow"&gt;play&lt;/a&gt; by &lt;a class="wiki_link" href="/Gene%20Ward%20Smith"&gt;Gene Ward Smith&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Guanyin-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;13-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Guanyin-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;&lt;/h3&gt;
Commas: 176/175, 351/350, 540/539&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 176/175, 351/350, 540/539&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 2 -2 3|, &amp;lt;0 1 0 1 1 -2|, &amp;lt;0 0 3 -1 5 5|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 0 0 2 -2 3|, &amp;lt;0 1 0 1 1 -2|, &amp;lt;0 0 3 -1 5 5|]&lt;br /&gt;
EDOs: 22, 31, 53, 58, 80, 111&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58&lt;/a&gt;, &lt;a class="wiki_link" href="/80edo"&gt;80&lt;/a&gt;, &lt;a class="wiki_link" href="/111edo"&gt;111&lt;/a&gt;&lt;br /&gt;
Badness: 0.000758&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.000758&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Guanyin-Georgian"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Georgian&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Guanyin-Georgian"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Georgian&lt;/h3&gt;
Commas: 144/143, 176/175, 196/195&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 144/143, 176/175, 196/195&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 2 -2 6|, &amp;lt;0 1 0 1 1 1|, &amp;lt;0 0 3 -1 5 -5|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 0 0 2 -2 6|, &amp;lt;0 1 0 1 1 1|, &amp;lt;0 0 3 -1 5 -5|]&lt;br /&gt;
EDOs: 9, 31, 58&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/9edo"&gt;9&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58&lt;/a&gt;&lt;br /&gt;
Badness: 0.000904&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.000904&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 12:02, 11 June 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 xenwolf and made on 2011-06-11 12:02:50 UTC.
The original revision id was 235938168.
The revision comment was: links

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-limit|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|]
[[Eigenmonzo]]s: 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|]
[[Generator]]s: 2, 3, 12/7
Edos: [[9edo|9]], [[14edo|14]], [[17edo|17]], [[18edo|18]], [[22edo|22]], [[26edo|26]], [[27edo|27]], [[31edo|31]], [[49edo|49]], [[53edo|53]], [[58edo|58]], [[80edo|80]], [[84edo|84]], [[111edo|111]], [[142edo|142]]
[[Badness]]: 0.000187

[[Scale]]s: [[orwellismic9]]

==Guanyin==
[[Comma]]s: 176/175, 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|]
[[Eigenmonzo]]s: 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|]
[[Generator]]s: 2, 3, 12/7
EDOs: [[9edo|9]], [[22edo|22]], [[31edo|31]], [[53edo|53], [[58edo|58]], [[80edo|80]], [[111edo|111]]
[[Badness]]: 0.000411

[[Scale]]s: [[guanyin22]]
Music: 
[[http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297|Trio for SoftSaturn, NebulaSing and TromBonehead]]  [[http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3|play]] by [[Gene Ward Smith]]

===[[13-limit]]===
[[Comma]]s: 176/175, 351/350, 540/539

[[Map]]: [<1 0 0 2 -2 3|, <0 1 0 1 1 -2|, <0 0 3 -1 5 5|]
EDOs: [[22edo|22]], [[31edo|31]], [[53edo|53]], [[58edo|58]], [[80edo|80]], [[111edo|111]]
[[Badness]]: 0.000758

===Georgian===
[[Comma]]s: 144/143, 176/175, 196/195

[[Map]]: [<1 0 0 2 -2 6|, <0 1 0 1 1 1|, <0 0 3 -1 5 -5|]
EDOs: [[9edo|9]], [[31edo|31]], [[58edo|58]]
[[Badness]]: 0.000904

Original HTML content:

<html><head><title>Orwellismic family</title></head><body>The orwellismic family of <a class="wiki_link" href="/rank%20three%20temperaments">rank three temperaments</a> tempers out the orwellisma, 1728/1715.<br />
<br />
<a class="wiki_link" href="/Comma">Comma</a>: 1728/1715<br />
<br />
<a class="wiki_link" href="/7-limit">7-</a> and <a class="wiki_link" href="/9-limit">9-limit</a> <a class="wiki_link" href="/minimax">minimax</a><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 />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzo</a>s: 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 />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 0 0 2|, &lt;0 1 0 1|, &lt;0 0 3 -1|]<br />
<a class="wiki_link" href="/Generator">Generator</a>s: 2, 3, 12/7<br />
Edos: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/17edo">17</a>, <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/26edo">26</a>, <a class="wiki_link" href="/27edo">27</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/49edo">49</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/58edo">58</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/84edo">84</a>, <a class="wiki_link" href="/111edo">111</a>, <a class="wiki_link" href="/142edo">142</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.000187<br />
<br />
<a class="wiki_link" href="/Scale">Scale</a>s: <a class="wiki_link" href="/orwellismic9">orwellismic9</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Guanyin"></a><!-- ws:end:WikiTextHeadingRule:0 -->Guanyin</h2>
<a class="wiki_link" href="/Comma">Comma</a>s: 176/175, 540/539<br />
<br />
<a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/minimax">minimax</a><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 />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzo</a>s: 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 />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 0 0 2 -2|, &lt;0 1 0 1 1|, &lt;0 0 3 -1 5|]<br />
<a class="wiki_link" href="/Generator">Generator</a>s: 2, 3, 12/7<br />
EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/53edo">53], [[58edo|58</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/111edo">111</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.000411<br />
<br />
<a class="wiki_link" href="/Scale">Scale</a>s: <a class="wiki_link" href="/guanyin22">guanyin22</a><br />
Music: <br />
<a class="wiki_link_ext" href="http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297" rel="nofollow">Trio for SoftSaturn, NebulaSing and TromBonehead</a>  <a class="wiki_link_ext" href="http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Guanyin-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/13-limit">13-limit</a></h3>
<a class="wiki_link" href="/Comma">Comma</a>s: 176/175, 351/350, 540/539<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 0 0 2 -2 3|, &lt;0 1 0 1 1 -2|, &lt;0 0 3 -1 5 5|]<br />
EDOs: <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/58edo">58</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/111edo">111</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.000758<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-Guanyin-Georgian"></a><!-- ws:end:WikiTextHeadingRule:4 -->Georgian</h3>
<a class="wiki_link" href="/Comma">Comma</a>s: 144/143, 176/175, 196/195<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 0 0 2 -2 6|, &lt;0 1 0 1 1 1|, &lt;0 0 3 -1 5 -5|]<br />
EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/58edo">58</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.000904</body></html>