Orwell: Difference between revisions
Wikispaces>genewardsmith **Imported revision 247966429 - 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>2011-08-23 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-23 14:07:09 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>247967891</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">Orwell — so named because 19 steps of [[84edo]], or 19\84, is a possible generator — is an excellent 7-limit temperament and an amazing (because of the low complexity of 11) 11-limit temperament. The "perfect twelfth" 3/1 is divided into 7 equal steps. One of these steps represents 7/6; three represent 8/5. It's a member of the [[Semicomma family]]. | <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">[[toc|flat]] | ||
=Properties= | |||
Orwell — so named because 19 steps of [[84edo]], or 19\84, is a possible generator — is an excellent 7-limit temperament and an amazing (because of the low complexity of 11) 11-limit temperament. The "perfect twelfth" 3/1 is divided into 7 equal steps. One of these steps represents 7/6; three represent 8/5. It's a member of the [[Semicomma family]]. | |||
In the 11 limit, two generators are equated to 11/8 (meaning 99/98 is tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance. Other such chords in orwell are the [[keenanismic tetrads]] and the [[swetismic chords]]. | In the 11 limit, two generators are equated to 11/8 (meaning 99/98 is tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance. Other such chords in orwell are the [[keenanismic tetrads]] and the [[swetismic chords]]. | ||
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|| 0. || 271.43 || 542.85 || 814.28 || 1085.71 || 157.13 || 428.56 || 699.98 || 971.41 || 42.84 || 314.26 || 585.69 || 857.12 || 1128.54 || 199.97 || 471.40 || 742.82 || 1014.25 || | || 0. || 271.43 || 542.85 || 814.28 || 1085.71 || 157.13 || 428.56 || 699.98 || 971.41 || 42.84 || 314.26 || 585.69 || 857.12 || 1128.54 || 199.97 || 471.40 || 742.82 || 1014.25 || | ||
|| 1/1 || 7/6 || 11/8 || 8/5 || 28/15~15/8 || 12/11~11/10 || 14/11~9/7 || 3/2 || 7/4 || || 6/5 || 7/5 || 18/11 || || 9/8 || || || 9/5 || | || 1/1 || 7/6 || 11/8 || 8/5 || 28/15~15/8 || 12/11~11/10 || 14/11~9/7 || 3/2 || 7/4 || || 6/5 || 7/5 || 18/11 || || 9/8 || || || 9/5 || | ||
=MOSes= | |||
==9-note (LsLsLsLss, proper)== | |||
|| Small ("minor") interval || 114.29 || 228.59 || 385.72 || 500.02 || 657.15 || 771.44 || 928.57 || 1042.87 || | || Small ("minor") interval || 114.29 || 228.59 || 385.72 || 500.02 || 657.15 || 771.44 || 928.57 || 1042.87 || | ||
|| JI intervals represented || 15/14~16/15 || 8/7 || 5/4 || 4/3 || 16/11 || 14/9~11/7 || 12/7 || 11/6 || | || JI intervals represented || 15/14~16/15 || 8/7 || 5/4 || 4/3 || 16/11 || 14/9~11/7 || 12/7 || 11/6 || | ||
|| Large ("major") interval || 157.13 || 271.43 || 428.56 || 542.85 || 699.98 || 814.28 || 971.41 || 1085.71 || | || Large ("major") interval || 157.13 || 271.43 || 428.56 || 542.85 || 699.98 || 814.28 || 971.41 || 1085.71 || | ||
|| JI intervals represented || 12/11~11/10 || 7/6 || 14/11~9/7 || 11/8 || 3/2 || 8/5 || 7/4 || 15/8 || | || JI intervals represented || 12/11~11/10 || 7/6 || 14/11~9/7 || 11/8 || 3/2 || 8/5 || 7/4 || 15/8 || | ||
==13-note (LLLsLLsLLsLLs, improper)== | |||
|| Small ("minor") interval || 42.84 || 157.13 || 271.43 || 314.26 || 428.56 || 542.85 || 585.69 || 699.98 || 814.28 || 857 || 971.41 || 1085.71 || | || Small ("minor") interval || 42.84 || 157.13 || 271.43 || 314.26 || 428.56 || 542.85 || 585.69 || 699.98 || 814.28 || 857 || 971.41 || 1085.71 || | ||
|| JI intervals represented || || 12/11~11/10 || 7/6 || 6/5 || 14/11~9/7 || 11/8 || 7/5 || 3/2 || 8/5 || 18/11 || 7/4 || 15/8 || | || JI intervals represented || || 12/11~11/10 || 7/6 || 6/5 || 14/11~9/7 || 11/8 || 7/5 || 3/2 || 8/5 || 18/11 || 7/4 || 15/8 || | ||
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|| JI intervals represented || 15/14~16/15 || 8/7 || 11/9 || 5/4 || 4/3 || 10/7 || 16/11 || 14/9~11/7 || 5/3 || 12/7 || 11/6 || || | || JI intervals represented || 15/14~16/15 || 8/7 || 11/9 || 5/4 || 4/3 || 10/7 || 16/11 || 14/9~11/7 || 5/3 || 12/7 || 11/6 || || | ||
=MOS transversals= | |||
[[orwell13trans]] | [[orwell13trans]] | ||
[[orwell22trans]] | [[orwell22trans]] | ||
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[[orwell22trans57]] | [[orwell22trans57]] | ||
[[orwell31trans57]] | [[orwell31trans57]] | ||
=Music= | |||
[[http://www.archive.org/details/TrioInOrwell]] [[http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3|play]] by [[Gene Ward Smith]] | |||
[[http://soundclick.com/share?songid=9101705|one drop of rain]], [[http://soundclick.com/share?songid=9101704|i've come with a bucket of roses]], and [[http://soundclick.com/share?songid=8839071|my own house]] by [[Andrew Heathwaite]] | |||
[[http://micro.soonlabel.com/orwell/daily20100721-gpo-owellian-cameras.mp3|Orwellian Cameras]] by [[Chris Vaisvil]] | |||
</pre></div> | </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>Orwell</title></head><body>Orwell — so named because 19 steps of <a class="wiki_link" href="/84edo">84edo</a>, or 19\84, is a possible generator — is an excellent 7-limit temperament and an amazing (because of the low complexity of 11) 11-limit temperament. The &quot;perfect twelfth&quot; 3/1 is divided into 7 equal steps. One of these steps represents 7/6; three represent 8/5. It's a member of the <a class="wiki_link" href="/Semicomma%20family">Semicomma family</a>.<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>Orwell</title></head><body><!-- ws:start:WikiTextTocRule:14:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#MOSes">MOSes</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#MOS transversals">MOS transversals</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | ||
<!-- ws:end:WikiTextTocRule:22 --><br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1> | |||
Orwell — so named because 19 steps of <a class="wiki_link" href="/84edo">84edo</a>, or 19\84, is a possible generator — is an excellent 7-limit temperament and an amazing (because of the low complexity of 11) 11-limit temperament. The &quot;perfect twelfth&quot; 3/1 is divided into 7 equal steps. One of these steps represents 7/6; three represent 8/5. It's a member of the <a class="wiki_link" href="/Semicomma%20family">Semicomma family</a>.<br /> | |||
<br /> | <br /> | ||
In the 11 limit, two generators are equated to 11/8 (meaning 99/98 is tempered out). This means that three stacked generators makes the <a class="wiki_link" href="/orwell%20tetrad">orwell tetrad</a> 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance. Other such chords in orwell are the <a class="wiki_link" href="/keenanismic%20tetrads">keenanismic tetrads</a> and the <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a>.<br /> | In the 11 limit, two generators are equated to 11/8 (meaning 99/98 is tempered out). This means that three stacked generators makes the <a class="wiki_link" href="/orwell%20tetrad">orwell tetrad</a> 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance. Other such chords in orwell are the <a class="wiki_link" href="/keenanismic%20tetrads">keenanismic tetrads</a> and the <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a>.<br /> | ||
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Compatible equal temperaments include <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/53edo">53edo</a>, and <a class="wiki_link" href="/84edo">84edo</a>. Orwell is in better tune in lower limits than higher ones; the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> is <a class="wiki_link" href="/296edo">296edo</a> in the 5-limit, <a class="wiki_link" href="/137edo">137edo</a> in the 7-limit, and <a class="wiki_link" href="/53edo">53edo</a> in the 11-limit. It tempers out the semicomma in the 5-limit, 225/224, 1728/1715, 2430/2401 and 6144/6125 in the 7-limit, and 99/98, 121/120, 176/175, 385/384 and 540/539 in the 11-limit. By adding 275/273 to the list of commas it can be extended to the 13-limit as <a class="wiki_link" href="/Semicomma%20family#Julia">julia temperament</a>, and by adding instead 66/65, <a class="wiki_link" href="/Semicomma%20family#Winston">winston temperament</a>.<br /> | Compatible equal temperaments include <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/53edo">53edo</a>, and <a class="wiki_link" href="/84edo">84edo</a>. Orwell is in better tune in lower limits than higher ones; the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> is <a class="wiki_link" href="/296edo">296edo</a> in the 5-limit, <a class="wiki_link" href="/137edo">137edo</a> in the 7-limit, and <a class="wiki_link" href="/53edo">53edo</a> in the 11-limit. It tempers out the semicomma in the 5-limit, 225/224, 1728/1715, 2430/2401 and 6144/6125 in the 7-limit, and 99/98, 121/120, 176/175, 385/384 and 540/539 in the 11-limit. By adding 275/273 to the list of commas it can be extended to the 13-limit as <a class="wiki_link" href="/Semicomma%20family#Julia">julia temperament</a>, and by adding instead 66/65, <a class="wiki_link" href="/Semicomma%20family#Winston">winston temperament</a>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Properties-Interval chain"></a><!-- ws:end:WikiTextHeadingRule:2 -->Interval chain</h2> | ||
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</table> | </table> | ||
<!-- ws:start:WikiTextHeadingRule: | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="MOSes"></a><!-- ws:end:WikiTextHeadingRule:4 -->MOSes</h1> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="MOSes-9-note (LsLsLsLss, proper)"></a><!-- ws:end:WikiTextHeadingRule:6 -->9-note (LsLsLsLss, proper)</h2> | |||
<table class="wiki_table"> | <table class="wiki_table"> | ||
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</table> | </table> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="MOSes-13-note (LLLsLLsLLsLLs, improper)"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-note (LLLsLLsLLsLLs, improper)</h2> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="MOS transversals"></a><!-- ws:end:WikiTextHeadingRule:10 -->MOS transversals</h1> | ||
<a class="wiki_link" href="/orwell13trans">orwell13trans</a><br /> | <a class="wiki_link" href="/orwell13trans">orwell13trans</a><br /> | ||
<a class="wiki_link" href="/orwell22trans">orwell22trans</a><br /> | <a class="wiki_link" href="/orwell22trans">orwell22trans</a><br /> | ||
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<a class="wiki_link" href="/orwell13trans57">orwell13trans57</a><br /> | <a class="wiki_link" href="/orwell13trans57">orwell13trans57</a><br /> | ||
<a class="wiki_link" href="/orwell22trans57">orwell22trans57</a><br /> | <a class="wiki_link" href="/orwell22trans57">orwell22trans57</a><br /> | ||
<a class="wiki_link" href="/orwell31trans57">orwell31trans57</a></body></html></pre></div> | <a class="wiki_link" href="/orwell31trans57">orwell31trans57</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h1> | |||
<a class="wiki_link_ext" href="http://www.archive.org/details/TrioInOrwell" rel="nofollow">http://www.archive.org/details/TrioInOrwell</a> <a class="wiki_link_ext" href="http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> | |||
<a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101705" rel="nofollow">one drop of rain</a>, <a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101704" rel="nofollow">i've come with a bucket of roses</a>, and <a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839071" rel="nofollow">my own house</a> by <a class="wiki_link" href="/Andrew%20Heathwaite">Andrew Heathwaite</a><br /> | |||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/orwell/daily20100721-gpo-owellian-cameras.mp3" rel="nofollow">Orwellian Cameras</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></body></html></pre></div> | |||