14edo: Difference between revisions
Wikispaces>vaisvil **Imported revision 441285376 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 480714478 - 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: | : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-01-05 14:13:00 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>480714478</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html"> | <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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]] | ||
=**Intervals**= | |||
|| **DEGREE** || **NOTE** | || **DEGREE** || **NOTE** | ||
**NAME** || **CENTS** ||= **Approximate** | **NAME** || **CENTS** ||= **Approximate** | ||
| Line 33: | Line 32: | ||
|| 14··(or 0) || C || 1200 ||= 2/1 ||= 2 || Octave || | || 14··(or 0) || C || 1200 ||= 2/1 ||= 2 || Octave || | ||
``**``based on treating 14-EDO as a 2.11/5.11/7.11/9 [[subgroup]]; other approaches are possible. | ``**``based on treating 14-EDO as a 2.11/5.11/7.11/9 [[subgroup]]; other approaches are possible. | ||
== | [[media type="custom" key="24802838"]] | ||
[[file:14ed2-001.svg]] | |||
=Rank two temperaments= | |||
[[xenharmonic/List of 14edo rank two temperaments by badness|List of 14edo rank two temperaments by badness]] | |||
=Harmony= | |||
The character of 14-EDO does not well serve those seeking low-limit JI approaches, with the exception of 5:7:9:11 (which is quite well approximated, relative to other JI approximations of the low-numbered EDOs). | The character of 14-EDO does not well serve those seeking low-limit JI approaches, with the exception of 5:7:9:11 (which is quite well approximated, relative to other JI approximations of the low-numbered EDOs). | ||
14-EDO has quite a bit of xenharmonic appeal, in a similar way to 17-EDO, on account of having three types of 3rd and three types of 6th, rather than the usual two of 12-TET. Since 14-EDO also has a recognizable 4th and 5th, this makes it good for those wishing to explore alternative triadic harmonies without adding significantly more notes. It possesses a triad-rich 9-note MOS scale of 5L4s, wherein 7 of 9 notes are tonic to a subminor, supermajor, and/or neutral triad. | 14-EDO has quite a bit of xenharmonic appeal, in a similar way to 17-EDO, on account of having three types of 3rd and three types of 6th, rather than the usual two of 12-TET. Since 14-EDO also has a recognizable 4th and 5th, this makes it good for those wishing to explore alternative triadic harmonies without adding significantly more notes. It possesses a triad-rich 9-note MOS scale of 5L4s, wherein 7 of 9 notes are tonic to a subminor, supermajor, and/or neutral triad. | ||
=Notation= | |||
[[Ivor Darreg]] wrote in [[http://sonic-arts.org/darreg/dar15.htm|this article]]: | [[Ivor Darreg]] wrote in [[http://sonic-arts.org/darreg/dar15.htm|this article]]: | ||
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[[image:Ciclo_Tetradecafonía.png width="456" height="468" caption="Intervallic Cycle of 14 steps Equal per Octave"]] | [[image:Ciclo_Tetradecafonía.png width="456" height="468" caption="Intervallic Cycle of 14 steps Equal per Octave"]] | ||
=Commas= | |||
14 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val < 14 22 33 39 48 52 |.) | 14 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val < 14 22 33 39 48 52 |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 || | ||
| Line 66: | Line 70: | ||
||= 676/675 ||< | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||= || | ||= 676/675 ||< | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||= || | ||
=**[[modes|Modes]]**= | |||
6 6 2 - [[MOSScales|MOS]] of [[2L1s]] | 6 6 2 - [[MOSScales|MOS]] of [[2L1s]] | ||
5 5 4 - <span style="cursor: pointer;">[[MOSScales|MOS]]</span> of <span style="cursor: pointer;">[[2L1s]]</span> | 5 5 4 - <span style="cursor: pointer;">[[MOSScales|MOS]]</span> of <span style="cursor: pointer;">[[2L1s]]</span> | ||
| Line 94: | Line 97: | ||
**1 1 2 1 1 1 2 1 1 1 2** - <span style="cursor: pointer;">[[MOSScales|MOS]]</span> of <span style="cursor: pointer;">[[3L8s]]</span> | **1 1 2 1 1 1 2 1 1 1 2** - <span style="cursor: pointer;">[[MOSScales|MOS]]</span> of <span style="cursor: pointer;">[[3L8s]]</span> | ||
=Books= | |||
[[image:Libro_Tetradecafónico.PNG]] | [[image:Libro_Tetradecafónico.PNG]] | ||
//Sword, Ron. "Tetradecaphonic Scales for Guitar" IAAA Press. First Ed: June 2009.// | //Sword, Ron. "Tetradecaphonic Scales for Guitar" IAAA Press. First Ed: June 2009.// | ||
=**Compositions**= | |||
[[http://micro.soonlabel.com/0-praxis/audio/August/august_03_thereminnards.mp3|Thereminnards]] by Ralph Lewis | [[http://micro.soonlabel.com/0-praxis/audio/August/august_03_thereminnards.mp3|Thereminnards]] by Ralph Lewis | ||
Pendula for amplified trombone by Philip | Pendula (for amplified trombone) by Philip Schuessler | ||
[[http://ralphjarzombek.webs.com/|14-tone Equal Temperament]] by Ralph Jarzombek | [[http://ralphjarzombek.webs.com/|14-tone Equal Temperament]] by Ralph Jarzombek | ||
[[http://home.snafu.de/djwolf/IvorDarregInEagleRock.pdf|Ivor Darreg in Eagle Rock]] by [[Daniel Wolf]] | [[http://home.snafu.de/djwolf/IvorDarregInEagleRock.pdf|Ivor Darreg in Eagle Rock]] by [[Daniel Wolf]] | ||
<span class="ymp-btn-page-play ymp-media-4c2dab90062954a92dc59831018d92d9">[[http://micro.soonlabel.com/14-et/daily20110610-sax-Riding_The_L.mp3|Riding the L]]</span> by [[@http://chrisvaisvil.com/?p=943|Chris Vaisvil]] | |||
<span class="ymp-btn-page-play ymp-media-579db51554bd270599a9397e8446cdb9">[[http://clones.soonlabel.com/public/micro/jon-lyle-smith/Thorium%20Road.mp3|Thorium Road]]</span> by [[Jon Lyle Smith]] | |||
[[http://archive.org/download/tranSentient/tranSentient.mp3|tranSentient]] by [[Jon Lyle Smith]] | |||
<span class="ymp-btn-page-play ymp-media-4c2dab90062954a92dc59831018d92d9"> | [[http://archive.org/download/TheSpectrumOfDesire/the_spectrum_of_desire.mp3|the spectrum of desire]] by [[Jon Lyle Smith]] | ||
<span class="ymp-btn-page-play ymp-media-579db51554bd270599a9397e8446cdb9"> | [[https://sites.google.com/site/teamouse/home|This Way to the Egress]] <span class="ymp-btn-page-play ymp-media-0135aaddbe40aa681d77552715064991">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/egress-gpo.mp3|play]]</span> by [[http://www.io.com/%7Ehmiller/music/index.html|Herman Miller]] | ||
[[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&songID=3680443|Hyperimprovisation 'Tasty']] <span class="ymp-btn-page-play ymp-media-882819e185058b65278d03572ba40da1">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Hyperimprovisation%20Tasty.mp3|play]]</span> by [[Jacob Barton]] | |||
<span class="ymp-btn-page-play ymp-media-285313eab060867d8d5d941dea1d4152">[[http://www.h-pi.com/mp3/14ETPrelude.mp3|14ETPrelude]]</span> by [[Aaron Andrew Hunt]]</pre></div> | |||
[[https://sites.google.com/site/teamouse/home|This Way to the Egress]] <span class="ymp-btn-page-play ymp-media-0135aaddbe40aa681d77552715064991"> | |||
[[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&songID=3680443|Hyperimprovisation 'Tasty']] <span class="ymp-btn-page-play ymp-media-882819e185058b65278d03572ba40da1"> | |||
<span class="ymp-btn-page-play ymp-media-285313eab060867d8d5d941dea1d4152"> | |||
<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>14edo</title></head><body><!-- ws:start: | <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>14edo</title></head><body><!-- ws:start:WikiTextTocRule:19:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Rank two temperaments">Rank two temperaments</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Harmony">Harmony</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Notation">Notation</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Commas">Commas</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <a href="#Modes">Modes</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --> | <a href="#Books">Books</a><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | ||
</ | <!-- ws:end:WikiTextTocRule:28 --><br /> | ||
<a | |||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc0"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:3 --><strong>Intervals</strong></h1> | ||
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<!-- ws:start:WikiTextRawRule:01:``**`` -->**<!-- ws:end:WikiTextRawRule:01 -->based on treating 14-EDO as a 2.11/5.11/7.11/9 <a class="wiki_link" href="/subgroup">subgroup</a>; other approaches are possible.<br /> | <!-- ws:start:WikiTextRawRule:01:``**`` -->**<!-- ws:end:WikiTextRawRule:01 -->based on treating 14-EDO as a 2.11/5.11/7.11/9 <a class="wiki_link" href="/subgroup">subgroup</a>; other approaches are possible.<br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <br /> | ||
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The character of 14-EDO does not well serve those seeking low-limit JI approaches, with the exception of 5:7:9:11 (which is quite well approximated, relative to other JI approximations of the low-numbered EDOs).<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc1"><a name="Rank two temperaments"></a><!-- ws:end:WikiTextHeadingRule:5 -->Rank two temperaments</h1> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/List%20of%2014edo%20rank%20two%20temperaments%20by%20badness">List of 14edo rank two temperaments by badness</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc2"><a name="Harmony"></a><!-- ws:end:WikiTextHeadingRule:7 -->Harmony</h1> | |||
The character of 14-EDO does not well serve those seeking low-limit JI approaches, with the exception of 5:7:9:11 (which is quite well approximated, relative to other JI approximations of the low-numbered EDOs).<br /> | |||
<br /> | <br /> | ||
14-EDO has quite a bit of xenharmonic appeal, in a similar way to 17-EDO, on account of having three types of 3rd and three types of 6th, rather than the usual two of 12-TET. Since 14-EDO also has a recognizable 4th and 5th, this makes it good for those wishing to explore alternative triadic harmonies without adding significantly more notes. It possesses a triad-rich 9-note MOS scale of 5L4s, wherein 7 of 9 notes are tonic to a subminor, supermajor, and/or neutral triad.<br /> | 14-EDO has quite a bit of xenharmonic appeal, in a similar way to 17-EDO, on account of having three types of 3rd and three types of 6th, rather than the usual two of 12-TET. Since 14-EDO also has a recognizable 4th and 5th, this makes it good for those wishing to explore alternative triadic harmonies without adding significantly more notes. It possesses a triad-rich 9-note MOS scale of 5L4s, wherein 7 of 9 notes are tonic to a subminor, supermajor, and/or neutral triad.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc3"><a name="Notation"></a><!-- ws:end:WikiTextHeadingRule:9 -->Notation</h1> | ||
<a class="wiki_link" href="/Ivor%20Darreg">Ivor Darreg</a> wrote in <a class="wiki_link_ext" href="http://sonic-arts.org/darreg/dar15.htm" rel="nofollow">this article</a>:<br /> | <a class="wiki_link" href="/Ivor%20Darreg">Ivor Darreg</a> wrote in <a class="wiki_link_ext" href="http://sonic-arts.org/darreg/dar15.htm" rel="nofollow">this article</a>:<br /> | ||
<br /> | <br /> | ||
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The following chart (made by <a class="wiki_link" href="/T%C3%BAtim%20Dennsuul%20Wafiil">TDW</a>) shows this recommendation as &quot;standard notation&quot; as well as a proposed alternative.<br /> | The following chart (made by <a class="wiki_link" href="/T%C3%BAtim%20Dennsuul%20Wafiil">TDW</a>) shows this recommendation as &quot;standard notation&quot; as well as a proposed alternative.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:413:&lt;img src=&quot;/file/view/Ciclo_Tetradecafon%C3%ADa.png/233692646/456x468/Ciclo_Tetradecafon%C3%ADa.png&quot; alt=&quot;Intervallic Cycle of 14 steps Equal per Octave&quot; title=&quot;Intervallic Cycle of 14 steps Equal per Octave&quot; style=&quot;height: 468px; width: 456px;&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/Ciclo_Tetradecafon%C3%ADa.png/233692646/456x468/Ciclo_Tetradecafon%C3%ADa.png" alt="Ciclo_Tetradecafonía.png" title="Ciclo_Tetradecafonía.png" style="height: 468px; width: 456px;" /></td></tr><tr><td class="imageCaption">Intervallic Cycle of 14 steps Equal per Octave</td></tr></table><!-- ws:end:WikiTextLocalImageRule:413 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc4"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->Commas</h1> | ||
14 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the val &lt; 14 22 33 39 48 52 |.)<br /> | 14 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the val &lt; 14 22 33 39 48 52 |.)<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc5"><a name="Modes"></a><!-- ws:end:WikiTextHeadingRule:13 --><strong><a class="wiki_link" href="/modes">Modes</a></strong></h1> | |||
<!-- ws:start:WikiTextHeadingRule: | |||
6 6 2 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/2L1s">2L1s</a><br /> | 6 6 2 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/2L1s">2L1s</a><br /> | ||
5 5 4 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/2L1s">2L1s</a></span><br /> | 5 5 4 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/2L1s">2L1s</a></span><br /> | ||
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<strong>1 1 2 1 1 1 2 1 1 1 2</strong> - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/3L8s">3L8s</a></span><br /> | <strong>1 1 2 1 1 1 2 1 1 1 2</strong> - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/3L8s">3L8s</a></span><br /> | ||
<br /> | <br /> | ||
< | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc6"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:15 -->Books</h1> | ||
<!-- ws:start:WikiTextLocalImageRule:414:&lt;img src=&quot;/file/view/Libro_Tetradecaf%C3%B3nico.PNG/163539671/Libro_Tetradecaf%C3%B3nico.PNG&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/Libro_Tetradecaf%C3%B3nico.PNG/163539671/Libro_Tetradecaf%C3%B3nico.PNG" alt="Libro_Tetradecafónico.PNG" title="Libro_Tetradecafónico.PNG" /><!-- ws:end:WikiTextLocalImageRule:414 --><br /> | |||
<em>Sword, Ron. &quot;Tetradecaphonic Scales for Guitar&quot; IAAA Press. First Ed: June 2009.</em><br /> | <em>Sword, Ron. &quot;Tetradecaphonic Scales for Guitar&quot; IAAA Press. First Ed: June 2009.</em><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc7"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:17 --><strong>Compositions</strong></h1> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/0-praxis/audio/August/august_03_thereminnards.mp3" rel="nofollow">Thereminnards</a> by Ralph Lewis<br /> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/0-praxis/audio/August/august_03_thereminnards.mp3" rel="nofollow">Thereminnards</a> by Ralph Lewis<br /> | ||
Pendula for amplified trombone by Philip | Pendula (for amplified trombone) by Philip Schuessler<br /> | ||
<a class="wiki_link_ext" href="http://ralphjarzombek.webs.com/" rel="nofollow">14-tone Equal Temperament</a> by Ralph Jarzombek<br /> | <a class="wiki_link_ext" href="http://ralphjarzombek.webs.com/" rel="nofollow">14-tone Equal Temperament</a> by Ralph Jarzombek<br /> | ||
<a class="wiki_link_ext" href="http://home.snafu.de/djwolf/IvorDarregInEagleRock.pdf" rel="nofollow">Ivor Darreg in Eagle Rock</a> by <a class="wiki_link" href="/Daniel%20Wolf">Daniel Wolf</a><br /> | <a class="wiki_link_ext" href="http://home.snafu.de/djwolf/IvorDarregInEagleRock.pdf" rel="nofollow">Ivor Darreg in Eagle Rock</a> by <a class="wiki_link" href="/Daniel%20Wolf">Daniel Wolf</a><br /> | ||
<span class="ymp-btn-page-play ymp-media-4c2dab90062954a92dc59831018d92d9"><a class="wiki_link_ext" href="http://micro.soonlabel.com/14-et/daily20110610-sax-Riding_The_L.mp3" rel="nofollow">Riding the L</a></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=943" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | <span class="ymp-btn-page-play ymp-media-4c2dab90062954a92dc59831018d92d9"><a class="wiki_link_ext" href="http://micro.soonlabel.com/14-et/daily20110610-sax-Riding_The_L.mp3" rel="nofollow">Riding the L</a></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=943" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | ||
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