Orgonia: Difference between revisions
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Wikispaces>keenanpepper **Imported revision 273006418 - Original comment: Reverted to Oct 1, 2011 1:25 pm: spam** |
Wikispaces>genewardsmith **Imported revision 283602802 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-12-08 04:22:00 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>283602802</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
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Sval map: [<1 2 4|, <0 3 -2|] | Sval map: [<1 2 4|, <0 3 -2|] | ||
EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308 | EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308, 475bc, 783bc | ||
[[image:orgone_heptatonic.jpg]] | [[image:orgone_heptatonic.jpg]] | ||
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Sval map: [<1 1 1 5 2|, <0 3 4 -3 2|] | Sval map: [<1 1 1 5 2|, <0 3 4 -3 2|] | ||
EDOs: 7, 11 | 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.</pre></div> | ||
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Sval map: [&lt;1 2 4|, &lt;0 3 -2|]<br /> | Sval map: [&lt;1 2 4|, &lt;0 3 -2|]<br /> | ||
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, 475bc, 783bc<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;/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 /> | ||
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Sval map: [&lt;1 1 1 5 2|, &lt;0 3 4 -3 2|]<br /> | Sval map: [&lt;1 1 1 5 2|, &lt;0 3 4 -3 2|]<br /> | ||
EDOs: 7, 11<br /> | EDOs: 7, 11, 59b, 70bc, 81bcd, 92bcd<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="/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> | ||
Revision as of 04:22, 8 December 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 genewardsmith and made on 2011-12-08 04:22:00 UTC.
- The original revision id was 283602802.
- 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:
Welcome to Orgonia, the commatic realm of the orgonisma, the [[11-limit]] [[comma]] 65536/65219! =Orgonismic temperament= 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. Map: <<1 0 0 2 4] [0 1 0 0 0] [0 0 1 0 0] [0 0 0 3 -2]|| 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 =Subgroup temperaments= ==Orgone== Commas:65536/65219 Subgroup: 2.7.11 POTE generator: ~77/64 = 323.372 Sval map: [<1 2 4|, <0 3 -2|] EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308, 475bc, 783bc [[image:orgone_heptatonic.jpg]] ==Oregon== Commas: 55/54, 64/63, 100/99 Subgroup: 2.9.15.7.11 POTE generator: ~6/5 = 326.139 Sval map: [<1 1 1 5 2|, <0 3 4 -3 2|] 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.
Original HTML content:
<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 /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Orgonismic temperament"></a><!-- ws:end:WikiTextHeadingRule:0 -->Orgonismic temperament</h1> Comma: 65536/65219<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 /> <br /> Map: <<1 0 0 2 4]<br /> [0 1 0 0 0]<br /> [0 0 1 0 0]<br /> [0 0 0 3 -2]||<br /> <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 /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Subgroup temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->Subgroup temperaments</h1> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Subgroup temperaments-Orgone"></a><!-- ws:end:WikiTextHeadingRule:4 -->Orgone</h2> Commas:65536/65219<br /> Subgroup: 2.7.11<br /> <br /> POTE generator: ~77/64 = 323.372<br /> <br /> Sval map: [<1 2 4|, <0 3 -2|]<br /> EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308, 475bc, 783bc<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:8:<img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="" title="" /> --><img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" /><!-- ws:end:WikiTextLocalImageRule:8 --><br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Subgroup temperaments-Oregon"></a><!-- ws:end:WikiTextHeadingRule:6 -->Oregon</h2> Commas: 55/54, 64/63, 100/99<br /> Subgroup: 2.9.15.7.11<br /> <br /> POTE generator: ~6/5 = 326.139<br /> <br /> Sval map: [<1 1 1 5 2|, <0 3 4 -3 2|]<br /> EDOs: 7, 11, 59b, 70bc, 81bcd, 92bcd<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>