27edo: Difference between revisions
Wikispaces>phylingual **Imported revision 343165010 - Original comment: ** |
Wikispaces>phylingual **Imported revision 344236424 - 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:phylingual|phylingual]] and made on <tt>2012-06- | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-06-10 16:23:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>344236424</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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==Intervals== | ==Intervals== | ||
|| Degrees of 27-EDO || Cents value ||= Approximate | || Degrees of 27-EDO || Cents value ||= Approximate | ||
Ratios* || | Ratios* ||= Solfege || | ||
|| 0 || 0 ||= 1/1 || | || 0 || 0 ||= 1/1 ||= do || | ||
|| 1 || 44.44 ||= 36/35, 49/48, 50/49 || | || 1 || 44.44 ||= 36/35, 49/48, 50/49 ||= di || | ||
|| 2 || 88.89 ||= 16/15, 21/20, 25/24 || | || 2 || 88.89 ||= 16/15, 21/20, 25/24 ||= ra || | ||
|| 3 || 133.33 ||= 14/13, 13/12 || | || 3 || 133.33 ||= 14/13, 13/12 ||= ru || | ||
|| 4 || 177.78 ||= 10/9 || | || 4 || 177.78 ||= 10/9 ||= reh || | ||
|| 5 || 222.22 ||= 8/7, 9/8 || | || 5 || 222.22 ||= 8/7, 9/8 ||= re || | ||
|| 6 || 266.67 ||= 7/6 || | || 6 || 266.67 ||= 7/6 ||= ma || | ||
|| 7 || 311.11 ||= 6/5 || | || 7 || 311.11 ||= 6/5 ||= me || | ||
|| 8 || 355.56 ||= 16/13 || | || 8 || 355.56 ||= 16/13 ||= mu || | ||
|| 9 || 400 ||= 5/4 || | || 9 || 400 ||= 5/4 ||= mi || | ||
|| 10 || 444.44 ||= 9/7, 13/10 || | || 10 || 444.44 ||= 9/7, 13/10 ||= mo || | ||
|| 11 || 488.89 ||= 4/3 || | || 11 || 488.89 ||= 4/3 ||= fa || | ||
|| 12 || 533.33 ||= 49/36, 48/35 || | || 12 || 533.33 ||= 49/36, 48/35 ||= fih || | ||
|| 13 || 577.78 ||= 7/5 || | || 13 || 577.78 ||= 7/5 ||= fi || | ||
|| 14 || 622.22 ||= 10/7 || | || 14 || 622.22 ||= 10/7 ||= se || | ||
|| 15 || 666.67 ||= 72/49, 35/24 || | || 15 || 666.67 ||= 72/49, 35/24 ||= sih || | ||
|| 16 || 711.11 ||= 3/2 || | || 16 || 711.11 ||= 3/2 ||= so/sol || | ||
|| 17 || 755.56 ||= 14/9, 20/13 || | || 17 || 755.56 ||= 14/9, 20/13 ||= lo || | ||
|| 18 || 800 ||= 8/5 || | || 18 || 800 ||= 8/5 ||= le || | ||
|| 19 || 844.44 ||= 13/8 || | || 19 || 844.44 ||= 13/8 ||= lu || | ||
|| 20 || 888.89 ||= 5/3 || | || 20 || 888.89 ||= 5/3 ||= la || | ||
|| 21 || 933.33 ||= 12/7 || | || 21 || 933.33 ||= 12/7 ||= li || | ||
|| 22 || 977.78 ||= 7/4, 16/9 || | || 22 || 977.78 ||= 7/4, 16/9 ||= ta || | ||
|| 23 || 1022.22 ||= 9/5 || | || 23 || 1022.22 ||= 9/5 ||= te || | ||
|| 24 || 1066,67 ||= 13/7, 24/13 || | || 24 || 1066,67 ||= 13/7, 24/13 ||= tu || | ||
|| 25 || 1111.11 ||= 40/21 || | || 25 || 1111.11 ||= 40/21 ||= ti || | ||
|| 26 || 1155.56 ||= 35/18, 96/49, 49/25 || | || 26 || 1155.56 ||= 35/18, 96/49, 49/25 ||= da || | ||
|| 27 || 1200 ||= 2/1 || | || 27 || 1200 ||= 2/1 ||= do || | ||
*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible. | *based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible. | ||
==Rank two temperaments== | ==Rank two temperaments== | ||
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=Music= | =Music= | ||
[[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://www.archive.org/download/MusicForYourEars/musicfor.mp3|play]]//</span> by [[Gene Ward Smith]] The central portion is in 27edo, the rest in [[46edo]]. | [[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://www.archive.org/download/MusicForYourEars/musicfor.mp3|play]]////</span> by [[Gene Ward Smith]] The central portion is in 27edo, the rest in [[46edo]]. | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Sad%20Like%20Winter%20Leaves.mp3|Sad Like Winter Leaves]]//</span> by [[http://soundcloud.com/cityoftheasleep/sad-like-winter-trees|Igliashon Jones]] | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Sad%20Like%20Winter%20Leaves.mp3|Sad Like Winter Leaves]]////</span> by [[http://soundcloud.com/cityoftheasleep/sad-like-winter-trees|Igliashon Jones]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3|Galticeran Sonatina]]//</span> by [[http://soundcloud.com/joelgranttaylor/galticeran_sonatina|Joel Taylor]] | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3|Galticeran Sonatina]]////</span> by [[http://soundcloud.com/joelgranttaylor/galticeran_sonatina|Joel Taylor]] | ||
<span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">//[[http://www.youtube.com/watch?v=7QcwKlK6z4c|miniature prelude and fugue]]//</span> by Kosmorsky[[media type="custom" key="10942764"]] | <span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">////[[http://www.youtube.com/watch?v=7QcwKlK6z4c|miniature prelude and fugue]]////</span> by Kosmorsky[[media type="custom" key="10942764"]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/27edo/daily20111202-deep-chasm-zeta-cp-1.mp3|Chicago Pile-1]]//</span> by [[Chris Vaisvil]]</pre></div> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/27edo/daily20111202-deep-chasm-zeta-cp-1.mp3|Chicago Pile-1]]////</span> by [[Chris Vaisvil]]</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>27edo</title></head><body><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="x27 tone equal tempertament"></a><!-- ws:end:WikiTextHeadingRule:1 --><span style="color: #0061ff; font-size: 103%;">27 tone equal tempertament</span></h1> | <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>27edo</title></head><body><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="x27 tone equal tempertament"></a><!-- ws:end:WikiTextHeadingRule:1 --><span style="color: #0061ff; font-size: 103%;">27 tone equal tempertament</span></h1> | ||
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<td style="text-align: center;">Approximate<br /> | <td style="text-align: center;">Approximate<br /> | ||
Ratios*<br /> | Ratios*<br /> | ||
</td> | |||
<td style="text-align: center;">Solfege<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 127: | Line 129: | ||
</td> | </td> | ||
<td style="text-align: center;">1/1<br /> | <td style="text-align: center;">1/1<br /> | ||
</td> | |||
<td style="text-align: center;">do<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 135: | Line 139: | ||
</td> | </td> | ||
<td style="text-align: center;">36/35, 49/48, 50/49<br /> | <td style="text-align: center;">36/35, 49/48, 50/49<br /> | ||
</td> | |||
<td style="text-align: center;">di<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 143: | Line 149: | ||
</td> | </td> | ||
<td style="text-align: center;">16/15, 21/20, 25/24<br /> | <td style="text-align: center;">16/15, 21/20, 25/24<br /> | ||
</td> | |||
<td style="text-align: center;">ra<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 151: | Line 159: | ||
</td> | </td> | ||
<td style="text-align: center;">14/13, 13/12<br /> | <td style="text-align: center;">14/13, 13/12<br /> | ||
</td> | |||
<td style="text-align: center;">ru<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">10/9<br /> | <td style="text-align: center;">10/9<br /> | ||
</td> | |||
<td style="text-align: center;">reh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 167: | Line 179: | ||
</td> | </td> | ||
<td style="text-align: center;">8/7, 9/8<br /> | <td style="text-align: center;">8/7, 9/8<br /> | ||
</td> | |||
<td style="text-align: center;">re<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 175: | Line 189: | ||
</td> | </td> | ||
<td style="text-align: center;">7/6<br /> | <td style="text-align: center;">7/6<br /> | ||
</td> | |||
<td style="text-align: center;">ma<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 183: | Line 199: | ||
</td> | </td> | ||
<td style="text-align: center;">6/5<br /> | <td style="text-align: center;">6/5<br /> | ||
</td> | |||
<td style="text-align: center;">me<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 191: | Line 209: | ||
</td> | </td> | ||
<td style="text-align: center;">16/13<br /> | <td style="text-align: center;">16/13<br /> | ||
</td> | |||
<td style="text-align: center;">mu<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 199: | Line 219: | ||
</td> | </td> | ||
<td style="text-align: center;">5/4<br /> | <td style="text-align: center;">5/4<br /> | ||
</td> | |||
<td style="text-align: center;">mi<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 207: | Line 229: | ||
</td> | </td> | ||
<td style="text-align: center;">9/7, 13/10<br /> | <td style="text-align: center;">9/7, 13/10<br /> | ||
</td> | |||
<td style="text-align: center;">mo<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 215: | Line 239: | ||
</td> | </td> | ||
<td style="text-align: center;">4/3<br /> | <td style="text-align: center;">4/3<br /> | ||
</td> | |||
<td style="text-align: center;">fa<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 223: | Line 249: | ||
</td> | </td> | ||
<td style="text-align: center;">49/36, 48/35<br /> | <td style="text-align: center;">49/36, 48/35<br /> | ||
</td> | |||
<td style="text-align: center;">fih<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 231: | Line 259: | ||
</td> | </td> | ||
<td style="text-align: center;">7/5<br /> | <td style="text-align: center;">7/5<br /> | ||
</td> | |||
<td style="text-align: center;">fi<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 239: | Line 269: | ||
</td> | </td> | ||
<td style="text-align: center;">10/7<br /> | <td style="text-align: center;">10/7<br /> | ||
</td> | |||
<td style="text-align: center;">se<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">72/49, 35/24<br /> | <td style="text-align: center;">72/49, 35/24<br /> | ||
</td> | |||
<td style="text-align: center;">sih<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">3/2<br /> | <td style="text-align: center;">3/2<br /> | ||
</td> | |||
<td style="text-align: center;">so/sol<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">14/9, 20/13<br /> | <td style="text-align: center;">14/9, 20/13<br /> | ||
</td> | |||
<td style="text-align: center;">lo<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">8/5<br /> | <td style="text-align: center;">8/5<br /> | ||
</td> | |||
<td style="text-align: center;">le<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">13/8<br /> | <td style="text-align: center;">13/8<br /> | ||
</td> | |||
<td style="text-align: center;">lu<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">5/3<br /> | <td style="text-align: center;">5/3<br /> | ||
</td> | |||
<td style="text-align: center;">la<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 295: | Line 339: | ||
</td> | </td> | ||
<td style="text-align: center;">12/7<br /> | <td style="text-align: center;">12/7<br /> | ||
</td> | |||
<td style="text-align: center;">li<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 303: | Line 349: | ||
</td> | </td> | ||
<td style="text-align: center;">7/4, 16/9<br /> | <td style="text-align: center;">7/4, 16/9<br /> | ||
</td> | |||
<td style="text-align: center;">ta<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">9/5<br /> | <td style="text-align: center;">9/5<br /> | ||
</td> | |||
<td style="text-align: center;">te<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 319: | Line 369: | ||
</td> | </td> | ||
<td style="text-align: center;">13/7, 24/13<br /> | <td style="text-align: center;">13/7, 24/13<br /> | ||
</td> | |||
<td style="text-align: center;">tu<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">40/21<br /> | <td style="text-align: center;">40/21<br /> | ||
</td> | |||
<td style="text-align: center;">ti<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 335: | Line 389: | ||
</td> | </td> | ||
<td style="text-align: center;">35/18, 96/49, 49/25<br /> | <td style="text-align: center;">35/18, 96/49, 49/25<br /> | ||
</td> | |||
<td style="text-align: center;">da<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td style="text-align: center;">2/1<br /> | <td style="text-align: center;">2/1<br /> | ||
</td> | |||
<td style="text-align: center;">do<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 760: | Line 818: | ||
<!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:9 -->Music</h1> | <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:9 -->Music</h1> | ||
<br /> | <br /> | ||
<a class="wiki_link_ext" href="http://www.archive.org/details/MusicForYourEars" rel="nofollow">Music For Your Ears</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link" | <a class="wiki_link_ext" href="http://www.archive.org/details/MusicForYourEars" rel="nofollow">Music For Your Ears</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.archive.org/download/MusicForYourEars/musicfor.mp3" rel="nofollow">play</a></span> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a> The central portion is in 27edo, the rest in <a class="wiki_link" href="/46edo">46edo</a>.<br /> | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link" | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Sad%20Like%20Winter%20Leaves.mp3" rel="nofollow">Sad Like Winter Leaves</a></span> by <a class="wiki_link_ext" href="http://soundcloud.com/cityoftheasleep/sad-like-winter-trees" rel="nofollow">Igliashon Jones</a><br /> | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link" | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3" rel="nofollow">Galticeran Sonatina</a></span> by <a class="wiki_link_ext" href="http://soundcloud.com/joelgranttaylor/galticeran_sonatina" rel="nofollow">Joel Taylor</a><br /> | ||
<span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link" | <span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=7QcwKlK6z4c" rel="nofollow">miniature prelude and fugue</a></span> by Kosmorsky<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/10942764?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;10942764&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js"> | ||
</script><!-- ws:end:WikiTextMediaRule:0 --><br /> | </script><!-- ws:end:WikiTextMediaRule:0 --><br /> | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link" | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/27edo/daily20111202-deep-chasm-zeta-cp-1.mp3" rel="nofollow">Chicago Pile-1</a></span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></body></html></pre></div> | ||