Porcupine: Difference between revisions
Wikispaces>phylingual **Imported revision 354933928 - Original comment: ** |
Wikispaces>phylingual **Imported revision 356198142 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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- | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-08-03 10:00:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>356198142</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> | ||
| Line 12: | Line 12: | ||
==Interval chain== | ==Interval chain== | ||
Main article: [[Porcupine intervals]] | Main article: [[Porcupine intervals]] | ||
|| | ||~ Generators ||~ Cents ||~ Ratios || | ||
|| 0 ||> 0.00 || 1/1 || | |||
|| 1 ||> 162.75 || 12/11~11/10~10/9 || | |||
|| 2 ||> 325.50 || 6/5~11/9 || | |||
|| 3 ||> 488.25 || 4/3 || | |||
|| 4 ||> 651.00 || 16/11~22/15 || | |||
|| 5 ||> 813.75 || 8/5 || | |||
|| 6 ||> 976.50 || 7/4~16/9 || | |||
|| 7 ||> 1139.25 || 48/25~160/81 || | |||
|| 8 ||> 102.00 || 16/15~21/20 || | |||
|| 9 ||> 264.75 || 7/6 || | |||
|| 10 ||> 427.50 || 14/11 || | |||
|| 11 ||> 590.25 || 7/5 || | |||
|| 12 ||> 753.00 || 14/9 || | |||
The specific tuning shown is the full 11-limit [[POTE tuning]], but of course there is a range of acceptible porcupine tunings that includes generators as small as 160 cents ([[15edo]]) and as large as 165.5 cents ([[29edo]]). | The specific tuning shown is the full 11-limit [[POTE tuning]], but of course there is a range of acceptible porcupine tunings that includes generators as small as 160 cents ([[15edo]]) and as large as 165.5 cents ([[29edo]]). | ||
12/11, 11/10, and 10/9 are all represented by the same interval, the generator. This makes chords such as 8:9:10:11:12 exceptionally common and easy to find. | 12/11, 11/10, and 10/9 are all represented by the same interval, the generator. This makes chords such as 8:9:10:11:12 exceptionally common and easy to find. | ||
| Line 48: | Line 60: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | |||
<th>Generators<br /> | |||
</th> | |||
<th>Cents<br /> | |||
</th> | |||
<th>Ratios<br /> | |||
</th> | |||
</tr> | |||
<tr> | <tr> | ||
<td>0<br /> | <td>0<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: right;">0.00<br /> | ||
</td> | |||
<td>1/1<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | </td> | ||
<td> | <td style="text-align: right;">162.75<br /> | ||
</td> | </td> | ||
<td> | <td>12/11~11/10~10/9<br /> | ||
</td> | </td> | ||
<td> | </tr> | ||
<tr> | |||
<td>2<br /> | |||
</td> | </td> | ||
<td> | <td style="text-align: right;">325.50<br /> | ||
</td> | </td> | ||
<td> | <td>6/5~11/9<br /> | ||
</td> | </td> | ||
<td> | </tr> | ||
<tr> | |||
<td>3<br /> | |||
</td> | </td> | ||
<td> | <td style="text-align: right;">488.25<br /> | ||
</td> | </td> | ||
<td> | <td>4/3<br /> | ||
</td> | </td> | ||
<td> | </tr> | ||
<tr> | |||
<td>4<br /> | |||
</td> | </td> | ||
<td> | <td style="text-align: right;">651.00<br /> | ||
</td> | </td> | ||
<td> | <td>16/11~22/15<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5<br /> | ||
</td> | |||
<td style="text-align: right;">813.75<br /> | |||
</td> | </td> | ||
<td> | <td>8/5<br /> | ||
</td> | </td> | ||
<td>6 | </tr> | ||
<tr> | |||
<td>6<br /> | |||
</td> | </td> | ||
<td> | <td style="text-align: right;">976.50<br /> | ||
</td> | </td> | ||
<td>16/ | <td>7/4~16/9<br /> | ||
</td> | </td> | ||
<td> | </tr> | ||
<tr> | |||
<td>7<br /> | |||
</td> | </td> | ||
<td> | <td style="text-align: right;">1139.25<br /> | ||
</td> | </td> | ||
<td>48/25~160/81<br /> | <td>48/25~160/81<br /> | ||
</td> | </td> | ||
<td>16/15<br /> | </tr> | ||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td style="text-align: right;">102.00<br /> | |||
</td> | |||
<td>16/15~21/20<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td style="text-align: right;">264.75<br /> | |||
</td> | </td> | ||
<td>7/6<br /> | <td>7/6<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td style="text-align: right;">427.50<br /> | |||
</td> | </td> | ||
<td>14/11<br /> | <td>14/11<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td style="text-align: right;">590.25<br /> | |||
</td> | </td> | ||
<td>7/5<br /> | <td>7/5<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td>12<br /> | |||
</td> | |||
<td style="text-align: right;">753.00<br /> | |||
</td> | </td> | ||
<td>14/9<br /> | <td>14/9<br /> | ||
| Line 120: | Line 188: | ||
<!-- ws:start:WikiTextHeadingRule:7:&lt;h2&gt; --><h2 id="toc3"><a name="x-Musical examples"></a><!-- ws:end:WikiTextHeadingRule:7 -->Musical examples</h2> | <!-- ws:start:WikiTextHeadingRule:7:&lt;h2&gt; --><h2 id="toc3"><a name="x-Musical examples"></a><!-- ws:end:WikiTextHeadingRule:7 -->Musical examples</h2> | ||
<ul><li>&quot;<a class="wiki_link_ext" href="http://sites.google.com/site/teamouse/home#TOC-Mizarian-music" rel="nofollow">Mizarian Porcupine Overture</a>&quot;, Herman Miller, 1999. (15edo, namesake of the temperament)</li><li>&quot;<a class="wiki_link_ext" href="http://www.myspace.com/paulerlich/music/songs/glassic-in-22-tone-equal-temperament-45202095" rel="nofollow">Glassic</a>&quot;, Paul Erlich, <a class="wiki_link" href="/22edo">22edo</a> (at least the beginning part is in porcupine).</li><li>&quot;<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.archive.org/download/NightOnPorcupineMountain/Genewardsmithmussorgsky-NightOnPorcupineMountain.mp3" rel="nofollow">Night on Porcupine Mountain</a></em></span></span>&quot;, Gene Ward Smith and Modest Mussorgsky, <a class="wiki_link" href="/22edo">22edo</a>.</li><li>&quot;<a class="wiki_link_ext" href="http://soundclick.com/share.cfm?id=8839060" rel="nofollow">being a</a>&quot;, Andrew Heathwaite, 2010, 22edo, mode 3 1 3 3 3 3 3 3 of Porcupine[8].</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3" rel="nofollow">Playing Gently with Miller's Porcupine</a></em></span></span>, <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20111231-porcupine15-indian.mp3" rel="nofollow">15 Porcupines in India</a></em></span></span>, Sarangi, Tambura and Sitar improvisation by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20111231-porcupine15-piano.mp3" rel="nofollow">15 Quills</a></em></span></span> piano solo by Chris Vaisvil</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20111231-porcupine15-prickly-side-of-love.mp3" rel="nofollow">Prickly Side of Love</a></em></span></span> - rock band in Porcupine Temperament with vocals by Chris Vaisvil</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20120102-porcupine-organ.mp3" rel="nofollow">Porcupine Organ Composition</a></em></span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><em><a href="http://xenharmonic.wikispaces.com/file/view/AmongOtherThings2.mp3/319978024/AmongOtherThings2.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/AmongOtherThings2.mp3/319978024/AmongOtherThings2.mp3');">Among Other Things 2</a></em> by Petr Pařízek</li></ul><!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="x-Images"></a><!-- ws:end:WikiTextHeadingRule:9 -->Images</h2> | <ul><li>&quot;<a class="wiki_link_ext" href="http://sites.google.com/site/teamouse/home#TOC-Mizarian-music" rel="nofollow">Mizarian Porcupine Overture</a>&quot;, Herman Miller, 1999. (15edo, namesake of the temperament)</li><li>&quot;<a class="wiki_link_ext" href="http://www.myspace.com/paulerlich/music/songs/glassic-in-22-tone-equal-temperament-45202095" rel="nofollow">Glassic</a>&quot;, Paul Erlich, <a class="wiki_link" href="/22edo">22edo</a> (at least the beginning part is in porcupine).</li><li>&quot;<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.archive.org/download/NightOnPorcupineMountain/Genewardsmithmussorgsky-NightOnPorcupineMountain.mp3" rel="nofollow">Night on Porcupine Mountain</a></em></span></span>&quot;, Gene Ward Smith and Modest Mussorgsky, <a class="wiki_link" href="/22edo">22edo</a>.</li><li>&quot;<a class="wiki_link_ext" href="http://soundclick.com/share.cfm?id=8839060" rel="nofollow">being a</a>&quot;, Andrew Heathwaite, 2010, 22edo, mode 3 1 3 3 3 3 3 3 of Porcupine[8].</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3" rel="nofollow">Playing Gently with Miller's Porcupine</a></em></span></span>, <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20111231-porcupine15-indian.mp3" rel="nofollow">15 Porcupines in India</a></em></span></span>, Sarangi, Tambura and Sitar improvisation by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20111231-porcupine15-piano.mp3" rel="nofollow">15 Quills</a></em></span></span> piano solo by Chris Vaisvil</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20111231-porcupine15-prickly-side-of-love.mp3" rel="nofollow">Prickly Side of Love</a></em></span></span> - rock band in Porcupine Temperament with vocals by Chris Vaisvil</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20120102-porcupine-organ.mp3" rel="nofollow">Porcupine Organ Composition</a></em></span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><em><a href="http://xenharmonic.wikispaces.com/file/view/AmongOtherThings2.mp3/319978024/AmongOtherThings2.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/AmongOtherThings2.mp3/319978024/AmongOtherThings2.mp3');">Among Other Things 2</a></em> by Petr Pařízek</li></ul><!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="x-Images"></a><!-- ws:end:WikiTextHeadingRule:9 -->Images</h2> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:147:&lt;img src=&quot;/file/view/porcupine8.jpg/272051226/porcupine8.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/porcupine8.jpg/272051226/porcupine8.jpg" alt="porcupine8.jpg" title="porcupine8.jpg" /><!-- ws:end:WikiTextLocalImageRule:147 --></body></html></pre></div> | ||