Orgonia: Difference between revisions
Wikispaces>genewardsmith **Imported revision 232586572 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 260509974 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-01 16:25:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>260509974</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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<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 [[11-limit]] [[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. | [[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] | Map: <<1 0 0 2 4] | ||
[0 1 0 0 0] | [0 1 0 0 0] | ||
[0 0 1 0 0] | [0 0 1 0 0] | ||
[0 0 0 3 -2]|| | [0 0 0 3 -2]|| | ||
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[[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 | [[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= | ||
==Orgone== | ==Orgone== | ||
Commas:65536/65219 | Commas:65536/65219 | ||
Subgroup: 2.7.11 | Subgroup: 2.7.11 | ||
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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 | ||
==Oregon== | [[image:orgone_heptatonic.jpg]] | ||
==Oregon== | |||
Commas: 55/54, 64/63, 100/99 | Commas: 55/54, 64/63, 100/99 | ||
Subgroup: 2.9.15.7.11 | Subgroup: 2.9.15.7.11 | ||
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<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="/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 /> | <br /> | ||
Map: &lt;&lt;1 0 0 2 4] <br /> | Map: &lt;&lt;1 0 0 2 4]<br /> | ||
[0 1 0 0 0] <br /> | [0 1 0 0 0]<br /> | ||
[0 0 1 0 0] <br /> | [0 0 1 0 0]<br /> | ||
[0 0 0 3 -2]||<br /> | [0 0 0 3 -2]||<br /> | ||
<br /> | <br /> | ||
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<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> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Subgroup temperaments-Orgone"></a><!-- ws:end:WikiTextHeadingRule:4 -->Orgone</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Subgroup temperaments-Orgone"></a><!-- ws:end:WikiTextHeadingRule:4 -->Orgone</h2> | ||
Commas:65536/65219<br /> | Commas:65536/65219<br /> | ||
Subgroup: 2.7.11<br /> | Subgroup: 2.7.11<br /> | ||
<br /> | <br /> | ||
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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<br /> | ||
<br /> | |||
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<br /> | <br /> | ||
<!-- 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> | ||
Commas: 55/54, 64/63, 100/99<br /> | Commas: 55/54, 64/63, 100/99<br /> | ||
Subgroup: 2.9.15.7.11<br /> | Subgroup: 2.9.15.7.11<br /> | ||
<br /> | <br /> | ||