15edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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from //wikipedia//:

""In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the [[octave]] into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 [[cent]]s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of [[5edo|5 equal divisions of the octave]] (or five scales of [[3edo]])." ~~15-edo is notable for being the smallest edo with recognizable, distinct representations of 5 odd limit intervals (3/2, 5/4, and 6/5) that has a positive [[81_80|syntonic comma]].~~

""In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the [[octave]] into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 [[cent]]s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of [[5edo|5 equal divisions of the octave]] (or five scales of [[3edo]])."

15-edo can be seen as a [[7-limit]] temperament because of its ability to approximate some septimal intervals, but it also contains some fairly obvious approximations to [[11-limit]] intervals, so it can reasonably be described as an 11-limit temperament; however, due to its rather distant approximation of the 3rd harmonic (and therefore the 9th harmonic as well), those seeking to approximate JI with 15-edo would be best advised to avoid chords requiring those harmonics.

15-edo can be seen as a [[7-limit]] temperament because of its ability to approximate some septimal intervals, but it also contains some fairly obvious approximations to [[11-limit]]intervals, so it can reasonably be described as an 11-limit temperament; however, due to its rather distant approximation of the 3rd harmonic (and therefore the 9th harmonic as well), those seeking to approximate JI with 15-edo would be best advised to avoid chords requiring those harmonics. 15-edo is also notable for being the smallest edo with recognizable, distinct representations of 5 odd limit intervals (3/2, 5/4, and 6/5) that has a positive [[81_80|syntonic comma]].

[[toc|flat]]

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[[image:http://ronsword.com/images/Pendecaphonic_coversm.jpg width="112" height="149" link="http://www.ronsword.com"]][[http://www.ronsword.com|Sword, Ronald. "Pendecaphonic Scales for Guitar" IAAA Press, UK-USA. First Ed: June 2009.]] - A large repository of all known scales and temperament families in the 15-edo system. 300+ examples /w chord-scale progressions

=**Compositions**=

[[https://sites.google.com/site/teamouse/home|Mizarian Porcupine Overture]] ////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3|play]]//// by [[Herman Miller]] ([[http://teamouse.googlepages.com/home|Herman Miller]]) ([[Regular Temperaments#porcupine|porcupine]] chord progressions)

[[https://sites.google.com/site/teamouse/home|Mizarian Porcupine Overture]] //[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3|play]]// by [[Herman Miller]] ([[http://teamouse.googlepages.com/home|Herman Miller]]) ([[Regular Temperaments#porcupine|porcupine]] chord progressions)

////[[http://www.microtonalmusic.net/audio/15edostudy.mp3|Study for Bells]]//// by [[Daniel Thompson]] ([[http://danielthompson.blogspot.com/|Daniel Thompson]]) (Jan. 2007)

//[[http://www.microtonalmusic.net/audio/15edostudy.mp3|Study for Bells]]// by [[Daniel Thompson]] ([[http://danielthompson.blogspot.com/|Daniel Thompson]]) (Jan. 2007)

[[http://www.soundclick.com/bands/songInfo.cfm?bandID=145852&songID=2920478|Hyperimprovisation 3.3]] ////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Hyperimprovisation3.3.mp3|play]]//// by [[Jacob Barton]] (2003)

[[http://www.soundclick.com/bands/songInfo.cfm?bandID=145852&songID=2920478|Hyperimprovisation 3.3]] //[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Hyperimprovisation3.3.mp3|play]]// by [[Jacob Barton]] (2003)

[[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&songID=5483130+OFOIOB|OFOIOB]] ////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/OFOIOB.mp3|play]]//// by Jacob Barton

[[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&songID=5483130+OFOIOB|OFOIOB]] //[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/OFOIOB.mp3|play]]// by Jacob Barton

////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/15%20tone%20E.T.Improvisationn.mp3|15 Tone ET Improvisationn]]//// by [[Norbert Oldani]]

//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/15%20tone%20E.T.Improvisationn.mp3|15 Tone ET Improvisationn]]// by [[Norbert Oldani]]

////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ET.mp3|Elegy in 15ET]]//// by [[Aaron Andrew Hunt]]

//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ET.mp3|Elegy in 15ET]]// by [[Aaron Andrew Hunt]]

////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ETa3fugue2.mp3|Fugue a3 in 15ET]]//// by Aaron Andrew Hunt

//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ETa3fugue2.mp3|Fugue a3 in 15ET]]// by Aaron Andrew Hunt

[[http://soundcloud.com/cityoftheasleep/the-triforce-of-courage15|The Triforce of Courage]] by Igliashon Jones, in [[Triforce]] temperament

////[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/12%20-%2012.%2015%20octave.mp3|Comets Over Flatland 12]]//// by [[Randy Winchester]]

//[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/12%20-%2012.%2015%20octave.mp3|Comets Over Flatland 12]]// by [[Randy Winchester]]

////[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/13%20-%2013.%2015%20octave.mp3|Comets Over Flatland 13]]//// by [[Randy Winchester]]

//[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/13%20-%2013.%2015%20octave.mp3|Comets Over Flatland 13]]// by [[Randy Winchester]]

////[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/16%20-%2016.%2015%20octave.mp3|Comets Over Flatland 16]]//// by [[Randy Winchester]]

//[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/16%20-%2016.%2015%20octave.mp3|Comets Over Flatland 16]]// by [[Randy Winchester]]

Study for Kyle Gann by [[http://www.akjmusic.com/works.html|Aaron K. Johnson]] (12-out-of-15)

[[http://azuma-asobi.com/Music/index.html|Rick McGowan]]: [[http://azuma-asobi.com/Music/Music-FullWorks.html|Four Ballet Scenes]]

"////[[http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3|Gently Playing With Miller's Porcupine]]////" uses the Fifteen-tone Miller's Porcupine-7 mode 2 2 2 3 2 2 2 by [[http://www.chrisvaisvil.com|Chris Vaisvil]]

"//[[http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3|Gently Playing With Miller's Porcupine]]//" uses the Fifteen-tone Miller's Porcupine-7 mode 2 2 2 3 2 2 2 by [[http://www.chrisvaisvil.com|Chris Vaisvil]]

////[[http://micro.soonlabel.com/15-ET/daily20110619_15edo_after_dark_in_the_pedway.mp3|After Dark on the Pedway]]//// by [[http://chrisvaisvil.com/?p=969|Chris Vaisvil]]

//[[http://micro.soonlabel.com/15-ET/daily20110619_15edo_after_dark_in_the_pedway.mp3|After Dark on the Pedway]]// by [[http://chrisvaisvil.com/?p=969|Chris Vaisvil]]

////[[http://micro.soonlabel.com/15-ET/15_sandles.mp3|15 Sandles]]//// by [[http://chrisvaisvil.com/?p=722|Chris Vaisvil]] [[http://micro.soonlabel.com/15-ET/15_sandles.mid|scordatura midi file]]

//[[http://micro.soonlabel.com/15-ET/15_sandles.mp3|15 Sandles]]// by [[http://chrisvaisvil.com/?p=722|Chris Vaisvil]] [[http://micro.soonlabel.com/15-ET/15_sandles.mid|scordatura midi file]]

////[[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mp3|Improv on 15 EDO]]//// by [[http://www.chrisvaisvil.com|Chris Vaisvil]] [[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mid|scordatura midi file]] and [[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.pdf|scordatura PDF score]]

//[[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mp3|Improv on 15 EDO]]// by [[http://www.chrisvaisvil.com|Chris Vaisvil]] [[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mid|scordatura midi file]] and [[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.pdf|scordatura PDF score]]

////[[http://micro.soonlabel.com/15-ET/20120317-synth-15edo-trolls.mp3|15 edo Trolls]]//// by [[Chris Vaisvil]] - [[@http://chrisvaisvil.com/?p=2206|details]]

//[[http://micro.soonlabel.com/15-ET/20120317-synth-15edo-trolls.mp3|15 edo Trolls]]// by [[Chris Vaisvil]] - [[@http://chrisvaisvil.com/?p=2206|details]]

Suite in 15-Note Equal Tuning, opus 33 by Easley Blackwood (as well as one of the Twelve Microtonal Etudes, opus 28)

[[file:15edo-Chords.ogg]] Some nice sounds I found in 15 EDO

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from wikipedia:

&quot;&quot;In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the <a class="wiki_link" href="/octave">octave</a> into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 <a class="wiki_link" href="/cent">cent</a>s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of <a class="wiki_link" href="/5edo">5 equal divisions of the octave</a> (or five scales of <a class="wiki_link" href="/3edo">3edo</a>).&quot; 15-edo is notable for being the smallest edo with recognizable, distinct representations of 5 odd limit intervals (3/2, 5/4, and 6/5) that has a positive <a class="wiki_link" href="/81_80">syntonic comma</a>.

&quot;&quot;In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the <a class="wiki_link" href="/octave">octave</a> into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 <a class="wiki_link" href="/cent">cent</a>s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of <a class="wiki_link" href="/5edo">5 equal divisions of the octave</a> (or five scales of <a class="wiki_link" href="/3edo">3edo</a>).&quot;

15-edo can be seen as a <a class="wiki_link" href="/7-limit">7-limit</a> temperament because of its ability to approximate some septimal intervals, but it also contains some fairly obvious approximations to <a class="wiki_link" href="/11-limit">11-limit</a> intervals, so it can reasonably be described as an 11-limit temperament; however, due to its rather distant approximation of the 3rd harmonic (and therefore the 9th harmonic as well), those seeking to approximate JI with 15-edo would be best advised to avoid chords requiring those harmonics.

15-edo can be seen as a <a class="wiki_link" href="/7-limit">7-limit</a> temperament because of its ability to approximate some septimal intervals, but it also contains some fairly obvious approximations to <a class="wiki_link" href="/11-limit">11-limit</a>intervals, so it can reasonably be described as an 11-limit temperament; however, due to its rather distant approximation of the 3rd harmonic (and therefore the 9th harmonic as well), those seeking to approximate JI with 15-edo would be best advised to avoid chords requiring those harmonics. 15-edo is also notable for being the smallest edo with recognizable, distinct representations of 5 odd limit intervals (3/2, 5/4, and 6/5) that has a positive <a class="wiki_link" href="/81_80">syntonic comma</a>.

<a href="#Harmony">Harmony</a> | <a href="#Rank two temperaments">Rank two temperaments</a> | <a href="#Commas">Commas</a> | <a href="#Additional notes">Additional notes</a> | <a href="#Theory">Theory</a> | <a href="#Practical Theory / Books">Practical Theory / Books</a> | <a href="#Compositions">Compositions</a>

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<a href="http://www.ronsword.com" rel="nofollow"><img src="http://ronsword.com/images/Pendecaphonic_coversm.jpg" alt="external image Pendecaphonic_coversm.jpg" title="external image Pendecaphonic_coversm.jpg" style="height: 149px; width: 112px;" /></a><a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow">Sword, Ronald. &quot;Pendecaphonic Scales for Guitar&quot; IAAA Press, UK-USA. First Ed: June 2009.</a> - A large repository of all known scales and temperament families in the 15-edo system. 300+ examples /w chord-scale progressions

<h1 id="toc6"><a name="Compositions"></a>Compositions</h1>

<a class="wiki_link_ext" href="https://sites.google.com/site/teamouse/home" rel="nofollow">Mizarian Porcupine Overture</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a> (<a class="wiki_link_ext" href="http://teamouse.googlepages.com/home" rel="nofollow">Herman Miller</a>) (<a class="wiki_link" href="/Regular%20Temperaments#porcupine">porcupine</a> chord progressions)

<a class="wiki_link_ext" href="https://sites.google.com/site/teamouse/home" rel="nofollow">Mizarian Porcupine Overture</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a> (<a class="wiki_link_ext" href="http://teamouse.googlepages.com/home" rel="nofollow">Herman Miller</a>) (<a class="wiki_link" href="/Regular%20Temperaments#porcupine">porcupine</a> chord progressions)

<a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/15edostudy.mp3" rel="nofollow">Study for Bells</a> by <a class="wiki_link" href="/Daniel%20Thompson">Daniel Thompson</a> (<a class="wiki_link_ext" href="http://danielthompson.blogspot.com/" rel="nofollow">Daniel Thompson</a>) (Jan. 2007)

<a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/15edostudy.mp3" rel="nofollow">Study for Bells</a> by <a class="wiki_link" href="/Daniel%20Thompson">Daniel Thompson</a> (<a class="wiki_link_ext" href="http://danielthompson.blogspot.com/" rel="nofollow">Daniel Thompson</a>) (Jan. 2007)

<a class="wiki_link_ext" href="http://www.soundclick.com/bands/songInfo.cfm?bandID=145852&amp;songID=2920478" rel="nofollow">Hyperimprovisation 3.3</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Hyperimprovisation3.3.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Jacob%20Barton">Jacob Barton</a> (2003)

<a class="wiki_link_ext" href="http://www.soundclick.com/bands/songInfo.cfm?bandID=145852&amp;songID=2920478" rel="nofollow">Hyperimprovisation 3.3</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Hyperimprovisation3.3.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Jacob%20Barton">Jacob Barton</a> (2003)

<a class="wiki_link_ext" href="http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&amp;songID=5483130+OFOIOB" rel="nofollow">OFOIOB</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/OFOIOB.mp3" rel="nofollow">play</a> by Jacob Barton

<a class="wiki_link_ext" href="http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&amp;songID=5483130+OFOIOB" rel="nofollow">OFOIOB</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/OFOIOB.mp3" rel="nofollow">play</a> by Jacob Barton

<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/15%20tone%20E.T.Improvisationn.mp3" rel="nofollow">15 Tone ET Improvisationn</a> by <a class="wiki_link" href="/Norbert%20Oldani">Norbert Oldani</a>

<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/15%20tone%20E.T.Improvisationn.mp3" rel="nofollow">15 Tone ET Improvisationn</a> by <a class="wiki_link" href="/Norbert%20Oldani">Norbert Oldani</a>

<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ET.mp3" rel="nofollow">Elegy in 15ET</a> by <a class="wiki_link" href="/Aaron%20Andrew%20Hunt">Aaron Andrew Hunt</a>

<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ET.mp3" rel="nofollow">Elegy in 15ET</a> by <a class="wiki_link" href="/Aaron%20Andrew%20Hunt">Aaron Andrew Hunt</a>

<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ETa3fugue2.mp3" rel="nofollow">Fugue a3 in 15ET</a> by Aaron Andrew Hunt

<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ETa3fugue2.mp3" rel="nofollow">Fugue a3 in 15ET</a> by Aaron Andrew Hunt

<a class="wiki_link_ext" href="http://soundcloud.com/cityoftheasleep/the-triforce-of-courage15" rel="nofollow">The Triforce of Courage</a> by Igliashon Jones, in <a class="wiki_link" href="/Triforce">Triforce</a> temperament

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/12%20-%2012.%2015%20octave.mp3" rel="nofollow">Comets Over Flatland 12</a> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/12%20-%2012.%2015%20octave.mp3" rel="nofollow">Comets Over Flatland 12</a> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/13%20-%2013.%2015%20octave.mp3" rel="nofollow">Comets Over Flatland 13</a> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/13%20-%2013.%2015%20octave.mp3" rel="nofollow">Comets Over Flatland 13</a> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/16%20-%2016.%2015%20octave.mp3" rel="nofollow">Comets Over Flatland 16</a> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/16%20-%2016.%2015%20octave.mp3" rel="nofollow">Comets Over Flatland 16</a> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a>

Study for Kyle Gann by <a class="wiki_link_ext" href="http://www.akjmusic.com/works.html" rel="nofollow">Aaron K. Johnson</a> (12-out-of-15)

<a class="wiki_link_ext" href="http://azuma-asobi.com/Music/index.html" rel="nofollow">Rick McGowan</a>: <a class="wiki_link_ext" href="http://azuma-asobi.com/Music/Music-FullWorks.html" rel="nofollow">Four Ballet Scenes</a>

&quot;<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3" rel="nofollow">Gently Playing With Miller's Porcupine</a>&quot; uses the Fifteen-tone Miller's Porcupine-7 mode 2 2 2 3 2 2 2 by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow">Chris Vaisvil</a>

&quot;<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3" rel="nofollow">Gently Playing With Miller's Porcupine</a>&quot; uses the Fifteen-tone Miller's Porcupine-7 mode 2 2 2 3 2 2 2 by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow">Chris Vaisvil</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_15edo_after_dark_in_the_pedway.mp3" rel="nofollow">After Dark on the Pedway</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=969" rel="nofollow">Chris Vaisvil</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_15edo_after_dark_in_the_pedway.mp3" rel="nofollow">After Dark on the Pedway</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=969" rel="nofollow">Chris Vaisvil</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/15_sandles.mp3" rel="nofollow">15 Sandles</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=722" rel="nofollow">Chris Vaisvil</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/15_sandles.mid" rel="nofollow">scordatura midi file</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/15_sandles.mp3" rel="nofollow">15 Sandles</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=722" rel="nofollow">Chris Vaisvil</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/15_sandles.mid" rel="nofollow">scordatura midi file</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mp3" rel="nofollow">Improv on 15 EDO</a> by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow">Chris Vaisvil</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mid" rel="nofollow">scordatura midi file</a> and <a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.pdf" rel="nofollow">scordatura PDF score</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mp3" rel="nofollow">Improv on 15 EDO</a> by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow">Chris Vaisvil</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mid" rel="nofollow">scordatura midi file</a> and <a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.pdf" rel="nofollow">scordatura PDF score</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/20120317-synth-15edo-trolls.mp3" rel="nofollow">15 edo Trolls</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a> - <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2206" rel="nofollow" target="_blank">details</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/20120317-synth-15edo-trolls.mp3" rel="nofollow">15 edo Trolls</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a> - <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2206" rel="nofollow" target="_blank">details</a>

Suite in 15-Note Equal Tuning, opus 33 by Easley Blackwood (as well as one of the Twelve Microtonal Etudes, opus 28)

<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> <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> Some nice sounds I found in 15 EDO

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:guest|guest]] and made on <tt>2012-08-10 10:17:20 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-08-10 10:19:45 UTC</tt>.<br>
-: The original revision id was <tt>357183820</tt>.<br>
+: The original revision id was <tt>357184046</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>
@@ Line 9: / Line 9: @@
 from //wikipedia//:
-""In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the [[octave]] into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 [[cent]]s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of [[5edo|5 equal divisions of the octave]] (or five scales of [[3edo]])." 15-edo is notable for being the smallest edo with recognizable, distinct representations of 5 odd limit intervals (3/2, 5/4, and 6/5) that has a positive [[81_80|syntonic comma]].
+""In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the [[octave]] into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 [[cent]]s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of [[5edo|5 equal divisions of the octave]] (or five scales of [[3edo]])."
--edo can be seen as a [[7-limit]] temperament because of its ability to approximate some septimal intervals, but it also contains some fairly obvious approximations to [[11-limit]] intervals, so it can reasonably be described as an 11-limit temperament; however, due to its rather distant approximation of the 3rd harmonic (and therefore the 9th harmonic as well), those seeking to approximate JI with 15-edo would be best advised to avoid chords requiring those harmonics.
+-edo can be seen as a [[7-limit]] temperament because of its ability to approximate some septimal intervals, but it also contains some fairly obvious approximations to [[11-limit]]intervals, so it can reasonably be described as an 11-limit temperament; however, due to its rather distant approximation of the 3rd harmonic (and therefore the 9th harmonic as well), those seeking to approximate JI with 15-edo would be best advised to avoid chords requiring those harmonics. 15-edo is also notable for being the smallest edo with recognizable, distinct representations of 5 odd limit intervals (3/2, 5/4, and 6/5) that has a positive [[81_80|syntonic comma]].
 [[toc|flat]]
@@ Line 97: / Line 97: @@
 [[image:http://ronsword.com/images/Pendecaphonic_coversm.jpg width="112" height="149" link="http://www.ronsword.com"]][[http://www.ronsword.com|Sword, Ronald. "Pendecaphonic Scales for Guitar" IAAA Press, UK-USA. First Ed: June 2009.]] - A large repository of all known scales and temperament families in the 15-edo system. 300+ examples /w chord-scale progressions
 =**Compositions**=
-[[https://sites.google.com/site/teamouse/home|Mizarian Porcupine Overture]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3|play]]////&lt;/span&gt;&lt;/span&gt; by [[Herman Miller]] ([[http://teamouse.googlepages.com/home|Herman Miller]]) ([[Regular Temperaments#porcupine|porcupine]] chord progressions)
+[[https://sites.google.com/site/teamouse/home|Mizarian Porcupine Overture]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3|play]]//&lt;/span&gt;&lt;/span&gt; by [[Herman Miller]] ([[http://teamouse.googlepages.com/home|Herman Miller]]) ([[Regular Temperaments#porcupine|porcupine]] chord progressions)
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://www.microtonalmusic.net/audio/15edostudy.mp3|Study for Bells]]////&lt;/span&gt;&lt;/span&gt; by [[Daniel Thompson]] ([[http://danielthompson.blogspot.com/|Daniel Thompson]]) (Jan. 2007)
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://www.microtonalmusic.net/audio/15edostudy.mp3|Study for Bells]]//&lt;/span&gt;&lt;/span&gt; by [[Daniel Thompson]] ([[http://danielthompson.blogspot.com/|Daniel Thompson]]) (Jan. 2007)
-[[http://www.soundclick.com/bands/songInfo.cfm?bandID=145852&amp;songID=2920478|Hyperimprovisation 3.3]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Hyperimprovisation3.3.mp3|play]]////&lt;/span&gt;&lt;/span&gt; by [[Jacob Barton]] (2003)
+[[http://www.soundclick.com/bands/songInfo.cfm?bandID=145852&amp;songID=2920478|Hyperimprovisation 3.3]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Hyperimprovisation3.3.mp3|play]]//&lt;/span&gt;&lt;/span&gt; by [[Jacob Barton]] (2003)
-[[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&amp;songID=5483130+OFOIOB|OFOIOB]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/OFOIOB.mp3|play]]////&lt;/span&gt;&lt;/span&gt; by Jacob Barton
+[[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&amp;songID=5483130+OFOIOB|OFOIOB]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/OFOIOB.mp3|play]]//&lt;/span&gt;&lt;/span&gt; by Jacob Barton
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/15%20tone%20E.T.Improvisationn.mp3|15 Tone ET Improvisationn]]////&lt;/span&gt;&lt;/span&gt; by [[Norbert Oldani]]
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/15%20tone%20E.T.Improvisationn.mp3|15 Tone ET Improvisationn]]//&lt;/span&gt;&lt;/span&gt; by [[Norbert Oldani]]
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ET.mp3|Elegy in 15ET]]////&lt;/span&gt;&lt;/span&gt; by [[Aaron Andrew Hunt]]
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ET.mp3|Elegy in 15ET]]//&lt;/span&gt;&lt;/span&gt; by [[Aaron Andrew Hunt]]
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ETa3fugue2.mp3|Fugue a3 in 15ET]]////&lt;/span&gt;&lt;/span&gt; by Aaron Andrew Hunt
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ETa3fugue2.mp3|Fugue a3 in 15ET]]//&lt;/span&gt;&lt;/span&gt; by Aaron Andrew Hunt
 [[http://soundcloud.com/cityoftheasleep/the-triforce-of-courage15|The Triforce of Courage]] by Igliashon Jones, in [[Triforce]] temperament
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/12%20-%2012.%2015%20octave.mp3|Comets Over Flatland 12]]////&lt;/span&gt;&lt;/span&gt; by [[Randy Winchester]]
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/12%20-%2012.%2015%20octave.mp3|Comets Over Flatland 12]]//&lt;/span&gt;&lt;/span&gt; by [[Randy Winchester]]
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/13%20-%2013.%2015%20octave.mp3|Comets Over Flatland 13]]////&lt;/span&gt;&lt;/span&gt; by [[Randy Winchester]]
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/13%20-%2013.%2015%20octave.mp3|Comets Over Flatland 13]]//&lt;/span&gt;&lt;/span&gt; by [[Randy Winchester]]
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/16%20-%2016.%2015%20octave.mp3|Comets Over Flatland 16]]////&lt;/span&gt;&lt;/span&gt; by [[Randy Winchester]]
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/16%20-%2016.%2015%20octave.mp3|Comets Over Flatland 16]]//&lt;/span&gt;&lt;/span&gt; by [[Randy Winchester]]
 Study for Kyle Gann by [[http://www.akjmusic.com/works.html|Aaron K. Johnson]] (12-out-of-15)
 [[http://azuma-asobi.com/Music/index.html|Rick McGowan]]: [[http://azuma-asobi.com/Music/Music-FullWorks.html|Four Ballet Scenes]]
-"&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3|Gently Playing With Miller's Porcupine]]////&lt;/span&gt;&lt;/span&gt;" uses the Fifteen-tone Miller's Porcupine-7 mode 2 2 2 3 2 2 2 by [[http://www.chrisvaisvil.com|Chris Vaisvil]]
+"&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3|Gently Playing With Miller's Porcupine]]//&lt;/span&gt;&lt;/span&gt;" uses the Fifteen-tone Miller's Porcupine-7 mode 2 2 2 3 2 2 2 by [[http://www.chrisvaisvil.com|Chris Vaisvil]]
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/15-ET/daily20110619_15edo_after_dark_in_the_pedway.mp3|After Dark on the Pedway]]////&lt;/span&gt;&lt;/span&gt; by [[http://chrisvaisvil.com/?p=969|Chris Vaisvil]]
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://micro.soonlabel.com/15-ET/daily20110619_15edo_after_dark_in_the_pedway.mp3|After Dark on the Pedway]]//&lt;/span&gt;&lt;/span&gt; by [[http://chrisvaisvil.com/?p=969|Chris Vaisvil]]
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/15-ET/15_sandles.mp3|15 Sandles]]////&lt;/span&gt;&lt;/span&gt; by [[http://chrisvaisvil.com/?p=722|Chris Vaisvil]] [[http://micro.soonlabel.com/15-ET/15_sandles.mid|scordatura midi file]]
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://micro.soonlabel.com/15-ET/15_sandles.mp3|15 Sandles]]//&lt;/span&gt;&lt;/span&gt; by [[http://chrisvaisvil.com/?p=722|Chris Vaisvil]] [[http://micro.soonlabel.com/15-ET/15_sandles.mid|scordatura midi file]]
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mp3|Improv on 15 EDO]]////&lt;/span&gt;&lt;/span&gt; by [[http://www.chrisvaisvil.com|Chris Vaisvil]] [[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mid|scordatura midi file]] and [[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.pdf|scordatura PDF score]]
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mp3|Improv on 15 EDO]]//&lt;/span&gt;&lt;/span&gt; by [[http://www.chrisvaisvil.com|Chris Vaisvil]] [[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mid|scordatura midi file]] and [[http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.pdf|scordatura PDF score]]
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/15-ET/20120317-synth-15edo-trolls.mp3|15 edo Trolls]]////&lt;/span&gt; by [[Chris Vaisvil]] - [[@http://chrisvaisvil.com/?p=2206|details]]
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;//[[http://micro.soonlabel.com/15-ET/20120317-synth-15edo-trolls.mp3|15 edo Trolls]]//&lt;/span&gt; by [[Chris Vaisvil]] - [[@http://chrisvaisvil.com/?p=2206|details]]
 Suite in 15-Note Equal Tuning, opus 33 by Easley Blackwood (as well as one of the Twelve Microtonal Etudes, opus 28)
 [[file:15edo-Chords.ogg]] Some nice sounds I found in 15 EDO
@@ Line 124: / Line 124: @@
 &lt;br /&gt;
 from &lt;em&gt;wikipedia&lt;/em&gt;:&lt;br /&gt;
-&amp;quot;&amp;quot;In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of &lt;a class="wiki_link" href="/5edo"&gt;5 equal divisions of the octave&lt;/a&gt; (or five scales of &lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt;).&amp;quot; 15-edo is notable for being the smallest edo with recognizable, distinct representations of 5 odd limit intervals (3/2, 5/4, and 6/5) that has a positive &lt;a class="wiki_link" href="/81_80"&gt;syntonic comma&lt;/a&gt;.&lt;br /&gt;
+&amp;quot;&amp;quot;In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of &lt;a class="wiki_link" href="/5edo"&gt;5 equal divisions of the octave&lt;/a&gt; (or five scales of &lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt;).&amp;quot;&lt;br /&gt;
 &lt;br /&gt;
--edo can be seen as a &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; temperament because of its ability to approximate some septimal intervals, but it also contains some fairly obvious approximations to &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; intervals, so it can reasonably be described as an 11-limit temperament; however, due to its rather distant approximation of the 3rd harmonic (and therefore the 9th harmonic as well), those seeking to approximate JI with 15-edo would be best advised to avoid chords requiring those harmonics.&lt;br /&gt;
+-edo can be seen as a &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; temperament because of its ability to approximate some septimal intervals, but it also contains some fairly obvious approximations to &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;intervals, so it can reasonably be described as an 11-limit temperament; however, due to its rather distant approximation of the 3rd harmonic (and therefore the 9th harmonic as well), those seeking to approximate JI with 15-edo would be best advised to avoid chords requiring those harmonics. 15-edo is also notable for being the smallest edo with recognizable, distinct representations of 5 odd limit intervals (3/2, 5/4, and 6/5) that has a positive &lt;a class="wiki_link" href="/81_80"&gt;syntonic comma&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextTocRule:15:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;a href="#Harmony"&gt;Harmony&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt; | &lt;a href="#Rank two temperaments"&gt;Rank two temperaments&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Commas"&gt;Commas&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt; | &lt;a href="#Additional notes"&gt;Additional notes&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt; | &lt;a href="#Theory"&gt;Theory&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt; | &lt;a href="#Practical Theory / Books"&gt;Practical Theory / Books&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt; | &lt;a href="#Compositions"&gt;Compositions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;
@@ Line 761: / Line 761: @@
   &lt;!-- ws:start:WikiTextRemoteImageRule:617:&amp;lt;a href=&amp;quot;http://www.ronsword.com&amp;quot; rel=&amp;quot;nofollow&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;http://ronsword.com/images/Pendecaphonic_coversm.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 149px; width: 112px;&amp;quot; /&amp;gt;&amp;lt;/a&amp;gt; --&gt;&lt;a href="http://www.ronsword.com" rel="nofollow"&gt;&lt;img src="http://ronsword.com/images/Pendecaphonic_coversm.jpg" alt="external image Pendecaphonic_coversm.jpg" title="external image Pendecaphonic_coversm.jpg" style="height: 149px; width: 112px;" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:617 --&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow"&gt;Sword, Ronald. &amp;quot;Pendecaphonic Scales for Guitar&amp;quot; IAAA Press, UK-USA. First Ed: June 2009.&lt;/a&gt; - A large repository of all known scales and temperament families in the 15-edo system. 300+ examples /w chord-scale progressions&lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;&lt;strong&gt;Compositions&lt;/strong&gt;&lt;/h1&gt;
-  &lt;a class="wiki_link_ext" href="https://sites.google.com/site/teamouse/home" rel="nofollow"&gt;Mizarian Porcupine Overture&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Herman%20Miller"&gt;Herman Miller&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://teamouse.googlepages.com/home" rel="nofollow"&gt;Herman Miller&lt;/a&gt;) (&lt;a class="wiki_link" href="/Regular%20Temperaments#porcupine"&gt;porcupine&lt;/a&gt; chord progressions)&lt;br /&gt;
+  &lt;a class="wiki_link_ext" href="https://sites.google.com/site/teamouse/home" rel="nofollow"&gt;Mizarian Porcupine Overture&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Herman%20Miller"&gt;Herman Miller&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://teamouse.googlepages.com/home" rel="nofollow"&gt;Herman Miller&lt;/a&gt;) (&lt;a class="wiki_link" href="/Regular%20Temperaments#porcupine"&gt;porcupine&lt;/a&gt; chord progressions)&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/15edostudy.mp3" rel="nofollow"&gt;Study for Bells&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Daniel%20Thompson"&gt;Daniel Thompson&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://danielthompson.blogspot.com/" rel="nofollow"&gt;Daniel Thompson&lt;/a&gt;) (Jan. 2007)&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/15edostudy.mp3" rel="nofollow"&gt;Study for Bells&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Daniel%20Thompson"&gt;Daniel Thompson&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://danielthompson.blogspot.com/" rel="nofollow"&gt;Daniel Thompson&lt;/a&gt;) (Jan. 2007)&lt;br /&gt;
-&lt;a class="wiki_link_ext" href="http://www.soundclick.com/bands/songInfo.cfm?bandID=145852&amp;amp;songID=2920478" rel="nofollow"&gt;Hyperimprovisation 3.3&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Hyperimprovisation3.3.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Jacob%20Barton"&gt;Jacob Barton&lt;/a&gt; (2003)&lt;br /&gt;
+&lt;a class="wiki_link_ext" href="http://www.soundclick.com/bands/songInfo.cfm?bandID=145852&amp;amp;songID=2920478" rel="nofollow"&gt;Hyperimprovisation 3.3&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Hyperimprovisation3.3.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Jacob%20Barton"&gt;Jacob Barton&lt;/a&gt; (2003)&lt;br /&gt;
-&lt;a class="wiki_link_ext" href="http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&amp;amp;songID=5483130+OFOIOB" rel="nofollow"&gt;OFOIOB&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/OFOIOB.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by Jacob Barton&lt;br /&gt;
+&lt;a class="wiki_link_ext" href="http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&amp;amp;songID=5483130+OFOIOB" rel="nofollow"&gt;OFOIOB&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/OFOIOB.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by Jacob Barton&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/15%20tone%20E.T.Improvisationn.mp3" rel="nofollow"&gt;15 Tone ET Improvisationn&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Norbert%20Oldani"&gt;Norbert Oldani&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/15%20tone%20E.T.Improvisationn.mp3" rel="nofollow"&gt;15 Tone ET Improvisationn&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Norbert%20Oldani"&gt;Norbert Oldani&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ET.mp3" rel="nofollow"&gt;Elegy in 15ET&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Aaron%20Andrew%20Hunt"&gt;Aaron Andrew Hunt&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ET.mp3" rel="nofollow"&gt;Elegy in 15ET&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Aaron%20Andrew%20Hunt"&gt;Aaron Andrew Hunt&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ETa3fugue2.mp3" rel="nofollow"&gt;Fugue a3 in 15ET&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by Aaron Andrew Hunt&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/15ETa3fugue2.mp3" rel="nofollow"&gt;Fugue a3 in 15ET&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by Aaron Andrew Hunt&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://soundcloud.com/cityoftheasleep/the-triforce-of-courage15" rel="nofollow"&gt;The Triforce of Courage&lt;/a&gt; by Igliashon Jones, in &lt;a class="wiki_link" href="/Triforce"&gt;Triforce&lt;/a&gt; temperament&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/12%20-%2012.%2015%20octave.mp3" rel="nofollow"&gt;Comets Over Flatland 12&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Randy%20Winchester"&gt;Randy Winchester&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/12%20-%2012.%2015%20octave.mp3" rel="nofollow"&gt;Comets Over Flatland 12&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Randy%20Winchester"&gt;Randy Winchester&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/13%20-%2013.%2015%20octave.mp3" rel="nofollow"&gt;Comets Over Flatland 13&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Randy%20Winchester"&gt;Randy Winchester&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/13%20-%2013.%2015%20octave.mp3" rel="nofollow"&gt;Comets Over Flatland 13&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Randy%20Winchester"&gt;Randy Winchester&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/16%20-%2016.%2015%20octave.mp3" rel="nofollow"&gt;Comets Over Flatland 16&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Randy%20Winchester"&gt;Randy Winchester&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/16%20-%2016.%2015%20octave.mp3" rel="nofollow"&gt;Comets Over Flatland 16&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Randy%20Winchester"&gt;Randy Winchester&lt;/a&gt;&lt;br /&gt;
 Study for Kyle Gann by &lt;a class="wiki_link_ext" href="http://www.akjmusic.com/works.html" rel="nofollow"&gt;Aaron K. Johnson&lt;/a&gt; (12-out-of-15)&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://azuma-asobi.com/Music/index.html" rel="nofollow"&gt;Rick McGowan&lt;/a&gt;: &lt;a class="wiki_link_ext" href="http://azuma-asobi.com/Music/Music-FullWorks.html" rel="nofollow"&gt;Four Ballet Scenes&lt;/a&gt;&lt;br /&gt;
-&amp;quot;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3" rel="nofollow"&gt;Gently Playing With Miller's Porcupine&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&amp;quot; uses the Fifteen-tone Miller's Porcupine-7 mode 2 2 2 3 2 2 2 by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
+&amp;quot;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_millers_porcupine_7a.mp3" rel="nofollow"&gt;Gently Playing With Miller's Porcupine&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt;&amp;quot; uses the Fifteen-tone Miller's Porcupine-7 mode 2 2 2 3 2 2 2 by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_15edo_after_dark_in_the_pedway.mp3" rel="nofollow"&gt;After Dark on the Pedway&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=969" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20110619_15edo_after_dark_in_the_pedway.mp3" rel="nofollow"&gt;After Dark on the Pedway&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=969" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/15_sandles.mp3" rel="nofollow"&gt;15 Sandles&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=722" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/15_sandles.mid" rel="nofollow"&gt;scordatura midi file&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/15_sandles.mp3" rel="nofollow"&gt;15 Sandles&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=722" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/15_sandles.mid" rel="nofollow"&gt;scordatura midi file&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mp3" rel="nofollow"&gt;Improv on 15 EDO&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mid" rel="nofollow"&gt;scordatura midi file&lt;/a&gt; and &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.pdf" rel="nofollow"&gt;scordatura PDF score&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mp3" rel="nofollow"&gt;Improv on 15 EDO&lt;/a&gt;&lt;/em&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.mid" rel="nofollow"&gt;scordatura midi file&lt;/a&gt; and &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/Improv_on_15edo/Improv_on_15.pdf" rel="nofollow"&gt;scordatura PDF score&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/20120317-synth-15edo-trolls.mp3" rel="nofollow"&gt;15 edo Trolls&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt; - &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2206" rel="nofollow" target="_blank"&gt;details&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/20120317-synth-15edo-trolls.mp3" rel="nofollow"&gt;15 edo Trolls&lt;/a&gt;&lt;/em&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt; - &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2206" rel="nofollow" target="_blank"&gt;details&lt;/a&gt;&lt;br /&gt;
 Suite in 15-Note Equal Tuning, opus 33 by Easley Blackwood (as well as one of the Twelve Microtonal Etudes, opus 28)&lt;br /&gt;
 &lt;!-- ws:start:WikiTextFileRule:618:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/15edo-Chords.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@15edo-Chords.ogg&amp;quot; title=&amp;quot;File: 15edo-Chords.ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg" onclick="ws.common.trackFileLink('/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="15edo-Chords.ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;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"&gt;15edo-Chords.ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/15edo-Chords.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;2 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:618 --&gt; Some nice sounds I found in 15 EDO&lt;br /&gt;