15edo: Difference between revisions
Wikispaces>TallKite **Imported revision 602739520 - Original comment: ** |
Wikispaces>TallKite **Imported revision 602739794 - 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:TallKite|TallKite]] and made on <tt>2016-12-22 05: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-22 05:16:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602739794</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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...A6 - A7 - A1 - A2 - M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 - d8 - d2 - d3... | ...A6 - A7 - A1 - A2 - M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 - d8 - d2 - d3... | ||
||= | ||= step ||= cents ||||= ups and downs relative notation | ||
(partial list, e.g. M2 is also A1 and d4) ||= ups and downs | (partial list, e.g. M2 is also A1 and d4) ||= ups and downs | ||
absolute notation ||= porcupine | absolute notation ||= porcupine | ||
relative notation ||= porcupine | relative notation ||= porcupine | ||
absolute notation || | absolute notation || | ||
||= 0 ||= 0¢ ||= unison, min 2nd ||= C# / D / Eb ||= unison ||= D || | ||= 0 ||= 0¢ ||= P1, m2 ||= unison, min 2nd ||= C# / D / Eb ||= unison ||= D || | ||
||= 1 ||= | ||= 1 ||= 80 ||= ^1, ^m2 ||= up-unison, upminor 2nd ||= C#^ / D^ / Eb^ ||= aug unison, dim 2nd ||= D# / Eb || | ||
||= 2 ||= | ||= 2 ||= 160 ||= vM2 ||= downmajor 2nd ||= D#v / Ev / Fv / Gbv ||= perf 2nd ||= E || | ||
||= 3 ||= | ||= 3 ||= 240 ||= M2, m3 ||= maj 2nd, min 3rd ||= D# / E / F / Gb ||= aug 2nd, dim 3rd ||= E# / Fb || | ||
||= 4 ||= | ||= 4 ||= 320 ||= ^m3 ||= upmin 3rd ||= D#^ / E^ / F^ / Gb^ ||= min 3rd ||= F || | ||
||= 5 ||= | ||= 5 ||= 400 ||= vM3 ||= downmaj 3rd ||= F#v / Gv / Abv ||= maj 3rd ||= F# / Gb || | ||
||= 6 ||= | ||= 6 ||= 480 ||= M3, P4, d5 ||= maj 3rd, perf 4th, dim 5th ||= F# / G / Ab ||= min 4th ||= G || | ||
||= 7 ||= | ||= 7 ||= 560 ||= ^4, ^d5 ||= up 4th, updim 5th ||= F#^ / G^ / Ab^ ||= maj 4th ||= G# / Abb || | ||
||= 8 ||= | ||= 8 ||= 640 ||= vA4, v5 ||= downaug 4th, down 5th ||= G#v / Av / Bbv ||= min 5th ||= Gx / Ab || | ||
||= 9 ||= | ||= 9 ||= 720 ||= A4, P5, m6 ||= aug 4th, perf 5th, min 6th ||= G# / A / Bb ||= maj 5th ||= A || | ||
||= 10 ||= | ||= 10 ||= 800 ||= ^5, ^m6 ||= up 5th, upmin 6th ||= G#^ / A^ / Bb^ ||= min 6th ||= A# / Bb || | ||
||= 11 ||= | ||= 11 ||= 880 ||= vA5, vM6 ||= downaug 5th, downmaj 6th ||= A#v / Bv / Cv / Dbv ||= maj 6th ||= B || | ||
||= 12 ||= | ||= 12 ||= 960 ||= M6, m7 ||= maj 6th, min 7th ||= A# / B / C / Db ||= aug 6th, dim 7th ||= B# / Cb || | ||
||= 13 ||= | ||= 13 ||= 1040 ||= ^m7 ||= upmin 7th ||= A#^ / B^ / C^ / Db^ ||= perf 7th ||= C || | ||
||= 14 ||= | ||= 14 ||= 1120 ||= vM7, v8 ||= downmaj 7th, down octave ||= C#v / Dv / Ebv ||= aug 7th, dim 8ve ||= C# / Db || | ||
||= 15 ||= | ||= 15 ||= 1200 ||= M7, P8 ||= maj 7th, octave ||= C# / D / Eb ||= 8ve ||= D || | ||
15edo chord names using ups and downs: | 15edo chord names using ups and downs: | ||
0-3-9 = D E A = Dsus2 = "D sus 2", or D F A = Dm = "D minor" | 0-3-9 = D E A = Dsus2 = "D sus 2", or D F A = Dm = "D minor" | ||
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<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc3"><a name="Images"></a><!-- ws:end:WikiTextHeadingRule:8 -->Images</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc3"><a name="Images"></a><!-- ws:end:WikiTextHeadingRule:8 -->Images</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1345:&lt;img src=&quot;/file/view/15edo%20wheel.png/516943384/225x225/15edo%20wheel.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 225px; width: 225px;&quot; /&gt; --><img src="/file/view/15edo%20wheel.png/516943384/225x225/15edo%20wheel.png" alt="15edo wheel.png" title="15edo wheel.png" style="height: 225px; width: 225px;" /><!-- ws:end:WikiTextLocalImageRule:1345 --><!-- ws:start:WikiTextLocalImageRule:1346:&lt;img src=&quot;/file/view/15edo%20wheel%2002.png/516943402/250x250/15edo%20wheel%2002.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 250px; width: 250px;&quot; /&gt; --><img src="/file/view/15edo%20wheel%2002.png/516943402/250x250/15edo%20wheel%2002.png" alt="15edo wheel 02.png" title="15edo wheel 02.png" style="height: 250px; width: 250px;" /><!-- ws:end:WikiTextLocalImageRule:1346 --><!-- ws:start:WikiTextLocalImageRule:1347:&lt;img src=&quot;/file/view/15edo%20wheel%2003.png/516943418/220x220/15edo%20wheel%2003.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 220px; width: 220px;&quot; /&gt; --><img src="/file/view/15edo%20wheel%2003.png/516943418/220x220/15edo%20wheel%2003.png" alt="15edo wheel 03.png" title="15edo wheel 03.png" style="height: 220px; width: 220px;" /><!-- ws:end:WikiTextLocalImageRule:1347 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc4"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:10 -->Intervals</h1> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc4"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:10 -->Intervals</h1> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">step<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">cents<br /> | <td style="text-align: center;">cents<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">ups and downs relative notation<br /> | <td colspan="2" style="text-align: center;">ups and downs relative notation<br /> | ||
(partial list, e.g. M2 is also A1 and d4)<br /> | (partial list, e.g. M2 is also A1 and d4)<br /> | ||
</td> | </td> | ||
| Line 651: | Line 651: | ||
</td> | </td> | ||
<td style="text-align: center;">0¢<br /> | <td style="text-align: center;">0¢<br /> | ||
</td> | |||
<td style="text-align: center;">P1, m2<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">unison, min 2nd<br /> | <td style="text-align: center;">unison, min 2nd<br /> | ||
| Line 664: | Line 666: | ||
<td style="text-align: center;">1<br /> | <td style="text-align: center;">1<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">80<br /> | ||
</td> | |||
<td style="text-align: center;">^1, ^m2<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">up-unison, upminor 2nd<br /> | <td style="text-align: center;">up-unison, upminor 2nd<br /> | ||
| Line 678: | Line 682: | ||
<td style="text-align: center;">2<br /> | <td style="text-align: center;">2<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">160<br /> | ||
</td> | |||
<td style="text-align: center;">vM2<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">downmajor 2nd<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">D#v / Ev / Fv / Gbv<br /> | <td style="text-align: center;">D#v / Ev / Fv / Gbv<br /> | ||
| Line 692: | Line 698: | ||
<td style="text-align: center;">3<br /> | <td style="text-align: center;">3<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">240<br /> | ||
</td> | |||
<td style="text-align: center;">M2, m3<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">maj 2nd, min 3rd<br /> | <td style="text-align: center;">maj 2nd, min 3rd<br /> | ||
| Line 706: | Line 714: | ||
<td style="text-align: center;">4<br /> | <td style="text-align: center;">4<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">320<br /> | ||
</td> | |||
<td style="text-align: center;">^m3<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">upmin 3rd<br /> | <td style="text-align: center;">upmin 3rd<br /> | ||
| Line 720: | Line 730: | ||
<td style="text-align: center;">5<br /> | <td style="text-align: center;">5<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">400<br /> | ||
</td> | |||
<td style="text-align: center;">vM3<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">downmaj 3rd<br /> | <td style="text-align: center;">downmaj 3rd<br /> | ||
| Line 734: | Line 746: | ||
<td style="text-align: center;">6<br /> | <td style="text-align: center;">6<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">480<br /> | ||
</td> | |||
<td style="text-align: center;">M3, P4, d5<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">maj 3rd, perf 4th, dim 5th<br /> | <td style="text-align: center;">maj 3rd, perf 4th, dim 5th<br /> | ||
| Line 748: | Line 762: | ||
<td style="text-align: center;">7<br /> | <td style="text-align: center;">7<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">560<br /> | ||
</td> | |||
<td style="text-align: center;">^4, ^d5<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">up 4th, updim 5th<br /> | <td style="text-align: center;">up 4th, updim 5th<br /> | ||
| Line 762: | Line 778: | ||
<td style="text-align: center;">8<br /> | <td style="text-align: center;">8<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">640<br /> | ||
</td> | |||
<td style="text-align: center;">vA4, v5<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">downaug 4th, down 5th<br /> | <td style="text-align: center;">downaug 4th, down 5th<br /> | ||
| Line 776: | Line 794: | ||
<td style="text-align: center;">9<br /> | <td style="text-align: center;">9<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">720<br /> | ||
</td> | |||
<td style="text-align: center;">A4, P5, m6<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">aug 4th, perf 5th, min 6th<br /> | <td style="text-align: center;">aug 4th, perf 5th, min 6th<br /> | ||
| Line 790: | Line 810: | ||
<td style="text-align: center;">10<br /> | <td style="text-align: center;">10<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">800<br /> | ||
</td> | |||
<td style="text-align: center;">^5, ^m6<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">up 5th, upmin 6th<br /> | <td style="text-align: center;">up 5th, upmin 6th<br /> | ||
| Line 804: | Line 826: | ||
<td style="text-align: center;">11<br /> | <td style="text-align: center;">11<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">880<br /> | ||
</td> | |||
<td style="text-align: center;">vA5, vM6<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">downaug 5th, downmaj 6th<br /> | <td style="text-align: center;">downaug 5th, downmaj 6th<br /> | ||
| Line 818: | Line 842: | ||
<td style="text-align: center;">12<br /> | <td style="text-align: center;">12<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">960<br /> | ||
</td> | |||
<td style="text-align: center;">M6, m7<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">maj 6th, min 7th<br /> | <td style="text-align: center;">maj 6th, min 7th<br /> | ||
| Line 832: | Line 858: | ||
<td style="text-align: center;">13<br /> | <td style="text-align: center;">13<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">1040<br /> | ||
</td> | |||
<td style="text-align: center;">^m7<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">upmin 7th<br /> | <td style="text-align: center;">upmin 7th<br /> | ||
| Line 846: | Line 874: | ||
<td style="text-align: center;">14<br /> | <td style="text-align: center;">14<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">1120<br /> | ||
</td> | |||
<td style="text-align: center;">vM7, v8<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">downmaj 7th, down octave<br /> | <td style="text-align: center;">downmaj 7th, down octave<br /> | ||
| Line 860: | Line 890: | ||
<td style="text-align: center;">15<br /> | <td style="text-align: center;">15<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">1200<br /> | ||
</td> | |||
<td style="text-align: center;">M7, P8<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">maj 7th, octave | <td style="text-align: center;">maj 7th, octave<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">C# / D / Eb<br /> | <td style="text-align: center;">C# / D / Eb<br /> | ||
| Line 890: | Line 922: | ||
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<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc5"><a name="Intervals-Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule:12 -->Selected just intervals by error</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc5"><a name="Intervals-Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule:12 -->Selected just intervals by error</h2> | ||
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<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc9"><a name="Alternative Notation-Porcupine Notation"></a><!-- ws:end:WikiTextHeadingRule:20 -->Porcupine Notation</h2> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc9"><a name="Alternative Notation-Porcupine Notation"></a><!-- ws:end:WikiTextHeadingRule:20 -->Porcupine Notation</h2> | ||
<ul><li>See the main <a class="wiki_link" href="/Porcupine%20Notation">porcupine notation</a> page.</li></ul><!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc10"><a name="Alternative Notation-Porcupine[8] Based Notation"></a><!-- ws:end:WikiTextHeadingRule:22 -->Porcupine[8] Based Notation</h2> | <ul><li>See the main <a class="wiki_link" href="/Porcupine%20Notation">porcupine notation</a> page.</li></ul><!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc10"><a name="Alternative Notation-Porcupine[8] Based Notation"></a><!-- ws:end:WikiTextHeadingRule:22 -->Porcupine[8] Based Notation</h2> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1348:&lt;img src=&quot;/file/view/porcupine%20alphabet.png/561701315/400x81/porcupine%20alphabet.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 81px; width: 400px;&quot; /&gt; --><img src="/file/view/porcupine%20alphabet.png/561701315/400x81/porcupine%20alphabet.png" alt="porcupine alphabet.png" title="porcupine alphabet.png" style="height: 81px; width: 400px;" /><!-- ws:end:WikiTextLocalImageRule:1348 --><br /> | ||
William Lynch proposes notating 15 EDO based on an eight nominal system using the old english letters: b c d ð e f þ æ as the alphabet.<br /> | William Lynch proposes notating 15 EDO based on an eight nominal system using the old english letters: b c d ð e f þ æ as the alphabet.<br /> | ||
Porcupine[7] can also be notated by omitting &quot;ð&quot;<br /> | Porcupine[7] can also be notated by omitting &quot;ð&quot;<br /> | ||
| Line 1,673: | Line 1,705: | ||
<a class="wiki_link_ext" href="http://youtu.be/6TyQ9kDm2fk" rel="nofollow">Ode For Ada</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/5f07ebbdf8b4ba8ef067ed3d00a38357-158.html" rel="nofollow">blog entry</a>)<br /> | <a class="wiki_link_ext" href="http://youtu.be/6TyQ9kDm2fk" rel="nofollow">Ode For Ada</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/5f07ebbdf8b4ba8ef067ed3d00a38357-158.html" rel="nofollow">blog entry</a>)<br /> | ||
Suite in 15-Note Equal Tuning, opus 33 by Easley Blackwood (as well as one of the Twelve Microtonal Etudes, opus 28)<br /> | Suite in 15-Note Equal Tuning, opus 33 by Easley Blackwood (as well as one of the Twelve Microtonal Etudes, opus 28)<br /> | ||
<!-- ws:start:WikiTextFileRule: | <!-- ws:start:WikiTextFileRule:1350:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/15edo-Chords.ogg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@15edo-Chords.ogg&quot; title=&quot;File: 15edo-Chords.ogg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg" onclick="ws.common.trackFileLink('/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="15edo-Chords.ogg" /></a><div><a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg" onclick="ws.common.trackFileLink('/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg');" class="filename" title="15edo-Chords.ogg">15edo-Chords.ogg</a><br /><ul><li><a href="/file/detail/15edo-Chords.ogg">Details</a></li><li><a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg">Download</a></li><li style="color: #666">2 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:1350 --> Some nice sounds I found in 15 EDO<br /> | ||
<!-- ws:start:WikiTextFileRule: | <!-- ws:start:WikiTextFileRule:1351:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/happenstance15.ogg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@happenstance15.ogg&quot; title=&quot;File: happenstance15.ogg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/happenstance15.ogg/257380320/happenstance15.ogg" onclick="ws.common.trackFileLink('/file/view/happenstance15.ogg/257380320/happenstance15.ogg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="happenstance15.ogg" /></a><div><a href="/file/view/happenstance15.ogg/257380320/happenstance15.ogg" onclick="ws.common.trackFileLink('/file/view/happenstance15.ogg/257380320/happenstance15.ogg');" class="filename" title="happenstance15.ogg">happenstance15.ogg</a><br /><ul><li><a href="/file/detail/happenstance15.ogg">Details</a></li><li><a href="/file/view/happenstance15.ogg/257380320/happenstance15.ogg">Download</a></li><li style="color: #666">6 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:1351 -->Sonic experiment in 15. Somewhat familiar tonality.<br /> | ||
<span class="long-title"><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=kQECU5ecCd4" rel="nofollow" target="_blank">Portrait of insects with 15-tone equal tempered guitar music </a></span><br /> | <span class="long-title"><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=kQECU5ecCd4" rel="nofollow" target="_blank">Portrait of insects with 15-tone equal tempered guitar music </a></span><br /> | ||
<a class="wiki_link_ext" href="http://www.reverbnation.com/ffffiale/song/3073160-pentadecafonicoda-15et" rel="nofollow">PentadecafoniCoda (15et)</a> by <span class="wiki_link_ext">F.F.F. Fiale</span><br /> | <a class="wiki_link_ext" href="http://www.reverbnation.com/ffffiale/song/3073160-pentadecafonicoda-15et" rel="nofollow">PentadecafoniCoda (15et)</a> by <span class="wiki_link_ext">F.F.F. Fiale</span><br /> | ||