Orgonia: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 283602802 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 284059528 - 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>2011-12-08 04:22:00 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-09 02:13:30 UTC</tt>.<br>
: The original revision id was <tt>283602802</tt>.<br>
: The original revision id was <tt>284059528</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: 7, 11, 59b, 70bc, 81bcd, 92bcd
EDOs: 7, 11, 59b, 70bc, 81bcd, 92bcd


The subgroup 2.9.15.7.11 is the [[11-limit]] [[k*N subgroups|2*11 subgroup]], the largest subgroup of the 11-limit on which [[11edo]] acts like [[22edo]], in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit [[Porcupine family|porcupine temperament]] restricted to this subgroup.</pre></div>
The subgroup 2.9.15.7.11 is the [[11-limit]] [[k*N subgroups|2*11 subgroup]], the largest subgroup of the 11-limit on which [[11edo]] acts like [[22edo]], in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit [[Porcupine family|porcupine temperament]] restricted to this subgroup.
 
===Orca===
Commas: 55/54, 64/63, 100/99, 85/84
Subgroup: 2.9.15.7.11.17
 
POTE generator: ~6/5 = 326.644
 
Sval map: [&lt;1 1 1 5 2 7|, &lt;0 3 4 -3 2 -4|]
EDOs: 7, 11, 92bcd, 103bcd
</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;Orgonia&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Welcome to Orgonia, the commatic realm of the orgonisma, the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt; 65536/65219!&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;Orgonia&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Welcome to Orgonia, the commatic realm of the orgonisma, the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt; 65536/65219!&lt;br /&gt;
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EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308, 475bc, 783bc&lt;br /&gt;
EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308, 475bc, 783bc&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:8:&amp;lt;img src=&amp;quot;/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:8 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:10:&amp;lt;img src=&amp;quot;/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:10 --&gt;&lt;br /&gt;
&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="Subgroup temperaments-Oregon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Oregon&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Subgroup temperaments-Oregon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Oregon&lt;/h2&gt;
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EDOs: 7, 11, 59b, 70bc, 81bcd, 92bcd&lt;br /&gt;
EDOs: 7, 11, 59b, 70bc, 81bcd, 92bcd&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The subgroup 2.9.15.7.11 is the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; &lt;a class="wiki_link" href="/k%2AN%20subgroups"&gt;2*11 subgroup&lt;/a&gt;, the largest subgroup of the 11-limit on which &lt;a class="wiki_link" href="/11edo"&gt;11edo&lt;/a&gt; acts like &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit &lt;a class="wiki_link" href="/Porcupine%20family"&gt;porcupine temperament&lt;/a&gt; restricted to this subgroup.&lt;/body&gt;&lt;/html&gt;</pre></div>
The subgroup 2.9.15.7.11 is the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; &lt;a class="wiki_link" href="/k%2AN%20subgroups"&gt;2*11 subgroup&lt;/a&gt;, the largest subgroup of the 11-limit on which &lt;a class="wiki_link" href="/11edo"&gt;11edo&lt;/a&gt; acts like &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit &lt;a class="wiki_link" href="/Porcupine%20family"&gt;porcupine temperament&lt;/a&gt; restricted to this subgroup.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="Subgroup temperaments-Oregon-Orca"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Orca&lt;/h3&gt;
Commas: 55/54, 64/63, 100/99, 85/84&lt;br /&gt;
Subgroup: 2.9.15.7.11.17&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 326.644&lt;br /&gt;
&lt;br /&gt;
Sval map: [&amp;lt;1 1 1 5 2 7|, &amp;lt;0 3 4 -3 2 -4|]&lt;br /&gt;
EDOs: 7, 11, 92bcd, 103bcd&lt;/body&gt;&lt;/html&gt;</pre></div>