11edo: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 202503794 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 204106668 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-02- | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-02-22 15:56:54 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>204106668</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 28: | Line 28: | ||
|| nearest 11edo interval || || 2\11 = 218 || || 3\11 = 327 || || 4\11 = 436 || || 2\11 = 218 || || | || nearest 11edo interval || || 2\11 = 218 || || 3\11 = 327 || || 4\11 = 436 || || 2\11 = 218 || || | ||
|| difference || || +14 || || -20 || || +18 || || -13 || || | || difference || || +14 || || -20 || || +18 || || -13 || || | ||
==Intervals== | |||
|| degrees of 11edo || cents value || solfege || | |||
|| 0 || 0.00 || **do** || | |||
|| 1 || 109.09 || **ra** || | |||
|| 2 || 218.18 || **re** || | |||
|| 3 || 327.27 || **me** || | |||
|| 4 || 436.36 || **mo** || | |||
|| 5 || 545.45 || **fu** || | |||
|| 6 || 654.55 || **su** || | |||
|| 7 || 763.64 || **lo** || | |||
|| 8 || 872.73 || **la** || | |||
|| 9 || 981.82 || **te** || | |||
|| 10 || 1090.91 || **ti** || | |||
===MOS Scales=== | ===MOS Scales=== | ||
| Line 58: | Line 73: | ||
[[http://music.columbia.edu/%7Echris/complist.html|The Stuffed Ones]] by [[Christopher Bailey]] (keyboards concréte) | [[http://music.columbia.edu/%7Echris/complist.html|The Stuffed Ones]] by [[Christopher Bailey]] (keyboards concréte) | ||
[[http://www.ozanyarman.com/files/music/Icicle_Caverns.mp3|Icicle Caverns]] by Dr. Ozan Yarman | [[http://www.ozanyarman.com/files/music/Icicle_Caverns.mp3|Icicle Caverns]] by Dr. Ozan Yarman | ||
[[http://soundclick.com/share.cfm?id=955383|Angkor Wat, September 1066]] by X. J. Scott [[http://soundclick.com/share?songid=8839070|conversation is]] by [[Andrew Heathwaite]]. Text is a sentence borrowed from a paper by Larry Richards, set to an 11-tone row. For guitar & voice. | [[http://soundclick.com/share.cfm?id=955383|Angkor Wat, September 1066]] by X. J. Scott [[http://soundclick.com/share?songid=8839070|conversation is]] by [[Andrew Heathwaite]]. | ||
Text is a sentence borrowed from a paper by Larry Richards, set to an 11-tone row. For guitar & voice. | |||
===Videos=== | ===Videos=== | ||
| Line 234: | Line 250: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id=" | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x11 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals</h2> | ||
<table class="wiki_table"> | |||
<tr> | |||
<td>degrees of 11edo<br /> | |||
</td> | |||
<td>cents value<br /> | |||
</td> | |||
<td>solfege<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0<br /> | |||
</td> | |||
<td>0.00<br /> | |||
</td> | |||
<td><strong>do</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td>109.09<br /> | |||
</td> | |||
<td><strong>ra</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>218.18<br /> | |||
</td> | |||
<td><strong>re</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td>327.27<br /> | |||
</td> | |||
<td><strong>me</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>436.36<br /> | |||
</td> | |||
<td><strong>mo</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td>545.45<br /> | |||
</td> | |||
<td><strong>fu</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td>654.55<br /> | |||
</td> | |||
<td><strong>su</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td>763.64<br /> | |||
</td> | |||
<td><strong>lo</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td>872.73<br /> | |||
</td> | |||
<td><strong>la</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td>981.82<br /> | |||
</td> | |||
<td><strong>te</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td>1090.91<br /> | |||
</td> | |||
<td><strong>ti</strong><br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x11 tone equal temperament-Intervals-MOS Scales"></a><!-- ws:end:WikiTextHeadingRule:6 -->MOS Scales</h3> | |||
<br /> | <br /> | ||
Although 11edo has one fewer interval in the octave than 12edo, in terms of <a class="wiki_link" href="/MOSScales">moment-of-symmetry scales</a>, it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included.<br /> | Although 11edo has one fewer interval in the octave than 12edo, in terms of <a class="wiki_link" href="/MOSScales">moment-of-symmetry scales</a>, it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included.<br /> | ||
| Line 245: | Line 365: | ||
See <a class="wiki_link" href="/11edo%20Modes">11edo Modes</a><br /> | See <a class="wiki_link" href="/11edo%20Modes">11edo Modes</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x11 tone equal temperament-Intervals-11edo Solfege"></a><!-- ws:end:WikiTextHeadingRule:8 -->11edo Solfege</h3> | ||
<br /> | <br /> | ||
An 11edo solfege system can easily be applied from the <a class="wiki_link" href="/22edo%20solfege">22edo solfege</a> system.<br /> | An 11edo solfege system can easily be applied from the <a class="wiki_link" href="/22edo%20solfege">22edo solfege</a> system.<br /> | ||
A chromatic scale would thus be sung: <strong>do ra re me mo fu su lo la te ti do</strong>.<br /> | A chromatic scale would thus be sung: <strong>do ra re me mo fu su lo la te ti do</strong>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x11 tone equal temperament-Intervals-11edo Instant Ensemble"></a><!-- ws:end:WikiTextHeadingRule:10 -->11edo Instant Ensemble</h3> | ||
<br /> | <br /> | ||
In February 2011, <a class="wiki_link_ext" href="http://oddmusicuc.wordpress.com/" rel="nofollow">Oddmusic U-C</a>, as part of its Microtonal Design Seminar, generated a 7-piece ensemble for playing music in 11edo. Instrumentation: autotuner, cümbüş, electronic keyboard, kalimba, retrofretted guitar, tuned bottles, udderbot. Recordings forthcoming.<br /> | In February 2011, <a class="wiki_link_ext" href="http://oddmusicuc.wordpress.com/" rel="nofollow">Oddmusic U-C</a>, as part of its Microtonal Design Seminar, generated a 7-piece ensemble for playing music in 11edo. Instrumentation: autotuner, cümbüş, electronic keyboard, kalimba, retrofretted guitar, tuned bottles, udderbot. Recordings forthcoming.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x11 tone equal temperament-Intervals-Compositions"></a><!-- ws:end:WikiTextHeadingRule:12 -->Compositions</h3> | ||
<br /> | <br /> | ||
<a class="wiki_link_ext" href="http://www.focalchords.com/audio/Cool_My_Head_11EDO.mp3" rel="nofollow">Cool My Head</a> by David Hamill, 2010<br /> | <a class="wiki_link_ext" href="http://www.focalchords.com/audio/Cool_My_Head_11EDO.mp3" rel="nofollow">Cool My Head</a> by David Hamill, 2010<br /> | ||
| Line 263: | Line 383: | ||
<a class="wiki_link_ext" href="http://music.columbia.edu/%7Echris/complist.html" rel="nofollow">The Stuffed Ones</a> by <a class="wiki_link" href="/Christopher%20Bailey">Christopher Bailey</a> (keyboards concréte)<br /> | <a class="wiki_link_ext" href="http://music.columbia.edu/%7Echris/complist.html" rel="nofollow">The Stuffed Ones</a> by <a class="wiki_link" href="/Christopher%20Bailey">Christopher Bailey</a> (keyboards concréte)<br /> | ||
<a class="wiki_link_ext" href="http://www.ozanyarman.com/files/music/Icicle_Caverns.mp3" rel="nofollow">Icicle Caverns</a> by Dr. Ozan Yarman<br /> | <a class="wiki_link_ext" href="http://www.ozanyarman.com/files/music/Icicle_Caverns.mp3" rel="nofollow">Icicle Caverns</a> by Dr. Ozan Yarman<br /> | ||
<a class="wiki_link_ext" href="http://soundclick.com/share.cfm?id=955383" rel="nofollow">Angkor Wat, September 1066</a> by X. J. Scott <a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839070" rel="nofollow">conversation is</a> by <a class="wiki_link" href="/Andrew%20Heathwaite">Andrew Heathwaite</a>. Text is a sentence borrowed from a paper by Larry Richards, set to an 11-tone row. For guitar &amp; voice.<br /> | <a class="wiki_link_ext" href="http://soundclick.com/share.cfm?id=955383" rel="nofollow">Angkor Wat, September 1066</a> by X. J. Scott <a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839070" rel="nofollow">conversation is</a> by <a class="wiki_link" href="/Andrew%20Heathwaite">Andrew Heathwaite</a>.<br /> | ||
Text is a sentence borrowed from a paper by Larry Richards, set to an 11-tone row. For guitar &amp; voice.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x11 tone equal temperament-Intervals-Videos"></a><!-- ws:end:WikiTextHeadingRule:14 -->Videos</h3> | ||
<br /> | <br /> | ||
The Stuffed Ones: <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=NU0VvGRelUQ&amp;feature=related" rel="nofollow">Goopy</a>, <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=4D9wDl_oxHE&amp;feature=related" rel="nofollow">Ziggy</a>, <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=53IiHdXfJwI&amp;feature=related" rel="nofollow">Ellie</a>, <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=4sZqpRcB-lk&amp;feature=related" rel="nofollow">Towelbear</a> by <a class="wiki_link_ext" href="http://www.youtube.com/user/zipzappoozoo" rel="nofollow">zipzappoozoo</a></body></html></pre></div> | The Stuffed Ones: <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=NU0VvGRelUQ&amp;feature=related" rel="nofollow">Goopy</a>, <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=4D9wDl_oxHE&amp;feature=related" rel="nofollow">Ziggy</a>, <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=53IiHdXfJwI&amp;feature=related" rel="nofollow">Ellie</a>, <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=4sZqpRcB-lk&amp;feature=related" rel="nofollow">Towelbear</a> by <a class="wiki_link_ext" href="http://www.youtube.com/user/zipzappoozoo" rel="nofollow">zipzappoozoo</a></body></html></pre></div> | ||