Orwell
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[[toc|flat]]
=Properties=
[[Semicomma family#Seven%20limit%20children-Orwell|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]]. Alternately, the "fifth harmonic" 5/1 divided into 3 equal steps also makes a good orwell generator, being ~12/7.
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 chords|keenanismic tetrads]] and the [[swetismic chords]].
Compatible equal temperaments include [[22edo]], [[31edo]], [[53edo]], and [[84edo]]. Orwell is in better tune in lower limits than higher ones; the [[optimal patent val]] is [[296edo]] in the 5-limit, [[137edo]] in the 7-limit, and [[53edo]] in the 11-limit. It tempers out the semicomma in the 5-limit, and so belongs to the [[semicomma family]]. In the 7-limit it tempers out 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 [[Semicomma family#Julia|julia temperament]], and by adding instead 66/65, [[Semicomma family#Winston|winston temperament]].
==Interval chain==
|| 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 ||
=MOSes=
==9-note (LsLsLsLss, proper)==
|| 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 ||
|| 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 ||
==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 ||
|| 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 ||
|| Large ("major") interval || 114.29 || 228.59 || 342.88 || 385.72 || 500.02 || 614.31 || 657.15 || 771.44 || 885.74 || 928.57 || 1042.87 || 1157.16 ||
|| 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 || ||
=[[Chords of orwell]]=
=MOS transversals=
[[orwell13trans]]
[[orwell22trans]]
[[orwell31trans]]
[[orwell13trans57]]
[[orwell22trans57]]
[[orwell31trans57]]
=Music=
[[http://www.archive.org/details/TrioInOrwell|Trio in Orwell]] [[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]]
[[http://www.archive.org/details/TunicataAndFugue|Tunicata and Fugue]] by Peter Kosmorsky
=Keyboards=
If only there were a way to make these interactive, that would be pretty nifty.
[[image:Orwell_13.png width="1023" height="292"]]
=[[image:Orwell_22.png width="1023" height="292"]]=
[[image:orwell13_axis49.png]]
See: [[Orwell on an Isomorphic Keyboard]]Original HTML content:
<html><head><title>Orwell</title></head><body><!-- ws:start:WikiTextTocRule:20:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#MOSes">MOSes</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --> | <a href="#Chords of orwell">Chords of orwell</a><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#MOS transversals">MOS transversals</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --> | <a href="#Keyboards">Keyboards</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --> | <a href="#toc9"></a><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: -->
<!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1>
<a class="wiki_link" href="/Semicomma%20family#Seven%20limit%20children-Orwell">Orwell</a> — 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 "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 <a class="wiki_link" href="/Semicomma%20family">Semicomma family</a>. Alternately, the "fifth harmonic" 5/1 divided into 3 equal steps also makes a good orwell generator, being ~12/7.<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%20chords">keenanismic tetrads</a> and the <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a>.<br />
<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, and so belongs to the <a class="wiki_link" href="/semicomma%20family">semicomma family</a>. In the 7-limit it tempers out 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 />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Properties-Interval chain"></a><!-- ws:end:WikiTextHeadingRule:2 -->Interval chain</h2>
<table class="wiki_table">
<tr>
<td>0.<br />
</td>
<td>271.43<br />
</td>
<td>542.85<br />
</td>
<td>814.28<br />
</td>
<td>1085.71<br />
</td>
<td>157.13<br />
</td>
<td>428.56<br />
</td>
<td>699.98<br />
</td>
<td>971.41<br />
</td>
<td>42.84<br />
</td>
<td>314.26<br />
</td>
<td>585.69<br />
</td>
<td>857.12<br />
</td>
<td>1128.54<br />
</td>
<td>199.97<br />
</td>
<td>471.40<br />
</td>
<td>742.82<br />
</td>
<td>1014.25<br />
</td>
</tr>
<tr>
<td>1/1<br />
</td>
<td>7/6<br />
</td>
<td>11/8<br />
</td>
<td>8/5<br />
</td>
<td>28/15~15/8<br />
</td>
<td>12/11~11/10<br />
</td>
<td>14/11~9/7<br />
</td>
<td>3/2<br />
</td>
<td>7/4<br />
</td>
<td><br />
</td>
<td>6/5<br />
</td>
<td>7/5<br />
</td>
<td>18/11<br />
</td>
<td><br />
</td>
<td>9/8<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>9/5<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="MOSes"></a><!-- ws:end:WikiTextHeadingRule:4 -->MOSes</h1>
<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="MOSes-9-note (LsLsLsLss, proper)"></a><!-- ws:end:WikiTextHeadingRule:6 -->9-note (LsLsLsLss, proper)</h2>
<table class="wiki_table">
<tr>
<td>Small ("minor") interval<br />
</td>
<td>114.29<br />
</td>
<td>228.59<br />
</td>
<td>385.72<br />
</td>
<td>500.02<br />
</td>
<td>657.15<br />
</td>
<td>771.44<br />
</td>
<td>928.57<br />
</td>
<td>1042.87<br />
</td>
</tr>
<tr>
<td>JI intervals represented<br />
</td>
<td>15/14~16/15<br />
</td>
<td>8/7<br />
</td>
<td>5/4<br />
</td>
<td>4/3<br />
</td>
<td>16/11<br />
</td>
<td>14/9~11/7<br />
</td>
<td>12/7<br />
</td>
<td>11/6<br />
</td>
</tr>
<tr>
<td>Large ("major") interval<br />
</td>
<td>157.13<br />
</td>
<td>271.43<br />
</td>
<td>428.56<br />
</td>
<td>542.85<br />
</td>
<td>699.98<br />
</td>
<td>814.28<br />
</td>
<td>971.41<br />
</td>
<td>1085.71<br />
</td>
</tr>
<tr>
<td>JI intervals represented<br />
</td>
<td>12/11~11/10<br />
</td>
<td>7/6<br />
</td>
<td>14/11~9/7<br />
</td>
<td>11/8<br />
</td>
<td>3/2<br />
</td>
<td>8/5<br />
</td>
<td>7/4<br />
</td>
<td>15/8<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="MOSes-13-note (LLLsLLsLLsLLs, improper)"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-note (LLLsLLsLLsLLs, improper)</h2>
<table class="wiki_table">
<tr>
<td>Small ("minor") interval<br />
</td>
<td>42.84<br />
</td>
<td>157.13<br />
</td>
<td>271.43<br />
</td>
<td>314.26<br />
</td>
<td>428.56<br />
</td>
<td>542.85<br />
</td>
<td>585.69<br />
</td>
<td>699.98<br />
</td>
<td>814.28<br />
</td>
<td>857<br />
</td>
<td>971.41<br />
</td>
<td>1085.71<br />
</td>
</tr>
<tr>
<td>JI intervals represented<br />
</td>
<td><br />
</td>
<td>12/11~11/10<br />
</td>
<td>7/6<br />
</td>
<td>6/5<br />
</td>
<td>14/11~9/7<br />
</td>
<td>11/8<br />
</td>
<td>7/5<br />
</td>
<td>3/2<br />
</td>
<td>8/5<br />
</td>
<td>18/11<br />
</td>
<td>7/4<br />
</td>
<td>15/8<br />
</td>
</tr>
<tr>
<td>Large ("major") interval<br />
</td>
<td>114.29<br />
</td>
<td>228.59<br />
</td>
<td>342.88<br />
</td>
<td>385.72<br />
</td>
<td>500.02<br />
</td>
<td>614.31<br />
</td>
<td>657.15<br />
</td>
<td>771.44<br />
</td>
<td>885.74<br />
</td>
<td>928.57<br />
</td>
<td>1042.87<br />
</td>
<td>1157.16<br />
</td>
</tr>
<tr>
<td>JI intervals represented<br />
</td>
<td>15/14~16/15<br />
</td>
<td>8/7<br />
</td>
<td>11/9<br />
</td>
<td>5/4<br />
</td>
<td>4/3<br />
</td>
<td>10/7<br />
</td>
<td>16/11<br />
</td>
<td>14/9~11/7<br />
</td>
<td>5/3<br />
</td>
<td>12/7<br />
</td>
<td>11/6<br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Chords of orwell"></a><!-- ws:end:WikiTextHeadingRule:10 --><a class="wiki_link" href="/Chords%20of%20orwell">Chords of orwell</a></h1>
<br />
<!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="MOS transversals"></a><!-- ws:end:WikiTextHeadingRule:12 -->MOS transversals</h1>
<a class="wiki_link" href="/orwell13trans">orwell13trans</a><br />
<a class="wiki_link" href="/orwell22trans">orwell22trans</a><br />
<a class="wiki_link" href="/orwell31trans">orwell31trans</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="/orwell31trans57">orwell31trans57</a><br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:<h1> --><h1 id="toc7"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:14 -->Music</h1>
<a class="wiki_link_ext" href="http://www.archive.org/details/TrioInOrwell" rel="nofollow">Trio in Orwell</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><br />
<a class="wiki_link_ext" href="http://www.archive.org/details/TunicataAndFugue" rel="nofollow">Tunicata and Fugue</a> by Peter Kosmorsky<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:<h1> --><h1 id="toc8"><a name="Keyboards"></a><!-- ws:end:WikiTextHeadingRule:16 -->Keyboards</h1>
<br />
If only there were a way to make these interactive, that would be pretty nifty.<br />
<!-- ws:start:WikiTextLocalImageRule:306:<img src="/file/view/Orwell_13.png/288210264/1023x292/Orwell_13.png" alt="" title="" style="height: 292px; width: 1023px;" /> --><img src="/file/view/Orwell_13.png/288210264/1023x292/Orwell_13.png" alt="Orwell_13.png" title="Orwell_13.png" style="height: 292px; width: 1023px;" /><!-- ws:end:WikiTextLocalImageRule:306 --><br />
<!-- ws:start:WikiTextHeadingRule:18:<h1> --><h1 id="toc9"><!-- ws:end:WikiTextHeadingRule:18 --><!-- ws:start:WikiTextLocalImageRule:307:<img src="/file/view/Orwell_22.png/288210350/1023x292/Orwell_22.png" alt="" title="" style="height: 292px; width: 1023px;" /> --><img src="/file/view/Orwell_22.png/288210350/1023x292/Orwell_22.png" alt="Orwell_22.png" title="Orwell_22.png" style="height: 292px; width: 1023px;" /><!-- ws:end:WikiTextLocalImageRule:307 --></h1>
<!-- ws:start:WikiTextLocalImageRule:308:<img src="/file/view/orwell13_axis49.png/302248228/orwell13_axis49.png" alt="" title="" /> --><img src="/file/view/orwell13_axis49.png/302248228/orwell13_axis49.png" alt="orwell13_axis49.png" title="orwell13_axis49.png" /><!-- ws:end:WikiTextLocalImageRule:308 --><br />
See: <a class="wiki_link" href="/Orwell%20on%20an%20Isomorphic%20Keyboard">Orwell on an Isomorphic Keyboard</a></body></html>