Orgonia: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 260509974 - Original comment: ** |
Wikispaces>guest **Imported revision 272999222 - 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: | : This revision was by author [[User:guest|guest]] and made on <tt>2011-11-07 23:36:39 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>272999222</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> | ||
<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">Welcome to Orgonia, the commatic realm of the orgonisma, the [[11-limit]] [[comma]] 65536/65219! | <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">Welcome to Orgonia, the commatic realm of the orgonisma, the [[xenharmonic/11-limit|11-limit]] [[xenharmonic/comma|comma]] 65536/65219! | ||
=Orgonismic temperament= | =Orgonismic temperament= | ||
Comma: 65536/65219 | Comma: 65536/65219 | ||
[[Eigenmonzo subgroup|Minimax tuning subgroup]]: 2.3.5.11/7. The minimax tuning makes 7 and 11 both sharp by (65536/65219)^(1/5), which is 1.679 cents, and the [[5-limit]] just. | [[xenharmonic/Eigenmonzo subgroup|Minimax tuning subgroup]]: 2.3.5.11/7. The minimax tuning makes 7 and 11 both sharp by (65536/65219)^(1/5), which is 1.679 cents, and the [[xenharmonic/5-limit|5-limit]] just. | ||
Map: <<1 0 0 2 4] | Map: <<1 0 0 2 4] | ||
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EDOs: 15, 19, 22, 37, 41, 89, 111, 130, 152, 282 | EDOs: 15, 19, 22, 37, 41, 89, 111, 130, 152, 282 | ||
[[Spectrum of a temperament|Spectrum]]: 4/3, 11/8, 12/11, 5/4, 8/7, 6/5, 11/10, 7/6, 9/8, 7/5, 11/9, 10/9, 9/7, 14/11 | [[xenharmonic/Spectrum of a temperament|Spectrum]]: 4/3, 11/8, 12/11, 5/4, 8/7, 6/5, 11/10, 7/6, 9/8, 7/5, 11/9, 10/9, 9/7, 14/11 | ||
=Subgroup temperaments= | =Subgroup temperaments= | ||
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EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308 | EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308 | ||
[[image:orgone_heptatonic.jpg]] | [[image:xenharmonic/orgone_heptatonic.jpg]] | ||
==Oregon== | ==Oregon== | ||
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EDOs: 7, 11 | EDOs: 7, 11 | ||
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 [[xenharmonic/11-limit|11-limit]] [[xenharmonic/k*N subgroups|2*11 subgroup]], the largest subgroup of the 11-limit on which [[xenharmonic/11edo|11edo]] acts like [[xenharmonic/22edo|22edo]], in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit [[xenharmonic/Porcupine family|porcupine temperament]] restricted to this subgroup.[[image:http://i122.photobucket.com/albums/o255/sweetchuckzx/Tattoodesigns.jpg link="http://www.90ninetattoodesigns.com"]]</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"><html><head><title>Orgonia</title></head><body>Welcome to Orgonia, the commatic realm of the orgonisma, the <a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/comma">comma</a> 65536/65219!<br /> | <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>Orgonia</title></head><body>Welcome to Orgonia, the commatic realm of the orgonisma, the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/11-limit">11-limit</a> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma">comma</a> 65536/65219!<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Orgonismic temperament"></a><!-- ws:end:WikiTextHeadingRule:0 -->Orgonismic temperament</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Orgonismic temperament"></a><!-- ws:end:WikiTextHeadingRule:0 -->Orgonismic temperament</h1> | ||
Comma: 65536/65219<br /> | Comma: 65536/65219<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Eigenmonzo%20subgroup">Minimax tuning subgroup</a>: 2.3.5.11/7. The minimax tuning makes 7 and 11 both sharp by (65536/65219)^(1/5), which is 1.679 cents, and the <a class="wiki_link" href="/5-limit">5-limit</a> just.<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Eigenmonzo%20subgroup">Minimax tuning subgroup</a>: 2.3.5.11/7. The minimax tuning makes 7 and 11 both sharp by (65536/65219)^(1/5), which is 1.679 cents, and the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/5-limit">5-limit</a> just.<br /> | ||
<br /> | <br /> | ||
Map: &lt;&lt;1 0 0 2 4]<br /> | Map: &lt;&lt;1 0 0 2 4]<br /> | ||
| Line 58: | Line 58: | ||
<br /> | <br /> | ||
EDOs: 15, 19, 22, 37, 41, 89, 111, 130, 152, 282<br /> | EDOs: 15, 19, 22, 37, 41, 89, 111, 130, 152, 282<br /> | ||
<a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 4/3, 11/8, 12/11, 5/4, 8/7, 6/5, 11/10, 7/6, 9/8, 7/5, 11/9, 10/9, 9/7, 14/11<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Spectrum%20of%20a%20temperament">Spectrum</a>: 4/3, 11/8, 12/11, 5/4, 8/7, 6/5, 11/10, 7/6, 9/8, 7/5, 11/9, 10/9, 9/7, 14/11<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Subgroup temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->Subgroup temperaments</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Subgroup temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->Subgroup temperaments</h1> | ||
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EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308<br /> | EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule:8:&lt;img src=&quot;/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" /><!-- ws:end:WikiTextLocalImageRule:8 --><br /> | <!-- ws:start:WikiTextLocalImageRule:8:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" /><!-- ws:end:WikiTextLocalImageRule:8 --><br /> | ||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Subgroup temperaments-Oregon"></a><!-- ws:end:WikiTextHeadingRule:6 -->Oregon</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Subgroup temperaments-Oregon"></a><!-- ws:end:WikiTextHeadingRule:6 -->Oregon</h2> | ||
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EDOs: 7, 11<br /> | EDOs: 7, 11<br /> | ||
<br /> | <br /> | ||
The subgroup 2.9.15.7.11 is the <a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/k%2AN%20subgroups">2*11 subgroup</a>, the largest subgroup of the 11-limit on which <a class="wiki_link" href="/11edo">11edo</a> acts like <a class="wiki_link" href="/22edo">22edo</a>, in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit <a class="wiki_link" href="/Porcupine%20family">porcupine temperament</a> restricted to this subgroup.</body></html></pre></div> | The subgroup 2.9.15.7.11 is the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/11-limit">11-limit</a> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/k%2AN%20subgroups">2*11 subgroup</a>, the largest subgroup of the 11-limit on which <a class="wiki_link" href="http://xenharmonic.wikispaces.com/11edo">11edo</a> acts like <a class="wiki_link" href="http://xenharmonic.wikispaces.com/22edo">22edo</a>, in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porcupine%20family">porcupine temperament</a> restricted to this subgroup.<!-- ws:start:WikiTextRemoteImageRule:10:&lt;a href=&quot;http://www.90ninetattoodesigns.com&quot; rel=&quot;nofollow&quot;&gt;&lt;img src=&quot;http://i122.photobucket.com/albums/o255/sweetchuckzx/Tattoodesigns.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="http://www.90ninetattoodesigns.com" rel="nofollow"><img src="http://i122.photobucket.com/albums/o255/sweetchuckzx/Tattoodesigns.jpg" alt="external image Tattoodesigns.jpg" title="external image Tattoodesigns.jpg" /></a><!-- ws:end:WikiTextRemoteImageRule:10 --></body></html></pre></div> | ||