84edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author toddiharrop and made on 2014-07-05 06:24:53 UTC.
- The original revision id was 515619850.
- 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:
//84edo// divides the [[octave]] into 84 equal parts of size 14.286 [[cent]]s each. It makes for an excellent orwell tuning and also a good one for compton, and the 84e val, <84 133 195 236 290|, is almost identical to the 11-limit POTE tuning for orwell. In the [[13-limit]] it is the [[optimal patent val]] for the rank five temperament tempering out 144/143. [[5-limit]] commas: 78732/78125, 531441/524288, 2109375/2097152 [[7-limit]] commas: 225/224, 1728/1715, 2430/2401, 6144/6125 [[11-limit]] commas: 441/440, 1344/1331, 1375/1372 84e: 99/98, 121/120, 176/175, 385/384, 540/539, 5632/5625 [[13-limit]] commas: 144/143, 351/350, 364/363, 625/625 84e: 275/273, 640/637, 351/350, 352/351, 625/624, 1001/1000 ==Music== //<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;">**Ten**</span>//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for chamber ensemble. [[@http://youtu.be/PE_2Ds_6qGk|Ives Ensemble]] </span>recording (YouTube). //<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;">**Two4**</span>//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for violin and piano or shō. [[@http://youtu.be/sLOrpd5onCs|Harr & Miyata]] recording (YouTube).</span> //<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;">**Two5**</span>//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for tenor trombone and piano. [[@http://youtu.be/YOtQZIqfY1w|Fulkerson & Denyer]] recording (YouTube).</span> //<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;">**Two6**</span>//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1992, for violin and piano. </span>[[@http://youtu.be/XkX37zH6AbU|Haar & Snijders]] recording (YouTube).
Original HTML content:
<html><head><title>84edo</title></head><body><em>84edo</em> divides the <a class="wiki_link" href="/octave">octave</a> into 84 equal parts of size 14.286 <a class="wiki_link" href="/cent">cent</a>s each. It makes for an excellent orwell tuning and also a good one for compton, and the 84e val, <84 133 195 236 290|, is almost identical to the 11-limit POTE tuning for orwell. In the <a class="wiki_link" href="/13-limit">13-limit</a> it is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank five temperament tempering out 144/143.<br /> <br /> <a class="wiki_link" href="/5-limit">5-limit</a> commas: 78732/78125, 531441/524288, 2109375/2097152<br /> <br /> <a class="wiki_link" href="/7-limit">7-limit</a> commas: 225/224, 1728/1715, 2430/2401, 6144/6125<br /> <br /> <a class="wiki_link" href="/11-limit">11-limit</a> commas: 441/440, 1344/1331, 1375/1372<br /> 84e: 99/98, 121/120, 176/175, 385/384, 540/539, 5632/5625<br /> <br /> <a class="wiki_link" href="/13-limit">13-limit</a> commas: 144/143, 351/350, 364/363, 625/625<br /> 84e: 275/273, 640/637, 351/350, 352/351, 625/624, 1001/1000<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h2> <br /> <em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"><strong>Ten</strong></span></em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for chamber ensemble. <a class="wiki_link_ext" href="http://youtu.be/PE_2Ds_6qGk" rel="nofollow" target="_blank">Ives Ensemble</a> </span>recording (YouTube).<br /> <em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"><strong>Two4</strong></span></em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for violin and piano or shō. <a class="wiki_link_ext" href="http://youtu.be/sLOrpd5onCs" rel="nofollow" target="_blank">Harr & Miyata</a> recording (YouTube).</span><br /> <em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"><strong>Two5</strong></span></em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for tenor trombone and piano. <a class="wiki_link_ext" href="http://youtu.be/YOtQZIqfY1w" rel="nofollow" target="_blank">Fulkerson & Denyer</a> recording (YouTube).</span><br /> <em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"><strong>Two6</strong></span></em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1992, for violin and piano. </span><a class="wiki_link_ext" href="http://youtu.be/XkX37zH6AbU" rel="nofollow" target="_blank">Haar & Snijders</a> recording (YouTube).</body></html>