Bohlen–Pierce scale: Difference between revisions

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**Imported revision 289363749 - Original comment: **
Wikispaces>vaisvil
**Imported revision 289364039 - 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:vaisvil|vaisvil]] and made on <tt>2012-01-03 16:45:50 UTC</tt>.<br>
: This revision was by author [[User:vaisvil|vaisvil]] and made on <tt>2012-01-03 16:47:16 UTC</tt>.<br>
: The original revision id was <tt>289363749</tt>.<br>
: The original revision id was <tt>289364039</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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&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/04%20-%204.%20Bohlen-Pierce.mp3|Comets Over Flatland 4]]&lt;/span&gt; by [[Randy Winchester]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/04%20-%204.%20Bohlen-Pierce.mp3|Comets Over Flatland 4]]&lt;/span&gt; by [[Randy Winchester]]
[[http://Bohlen-Pierce%20Island|Bohlen-Pierce Island audio]] by [[Chris Vaisvil]]
[[http://Bohlen-Pierce%20Island|Bohlen-Pierce Island audio]] by [[Chris Vaisvil]]
[[xenharmonic/Bohlen-Pierce|The Snow is Dancing]] by Debussy retuned to BP
[[code format="html4strict"]]
[[http://micro.soonlabel.com/MOTU/Vaisvil-MOTU-8a-bending-the-rules-in-bohlen-pierce.mp3|Bending the Rules]] by [[Chris Vaisvil]]
&lt;iframe width="640" height="360" src="http://www.youtube.com/embed/YGU01bFKTjM?feature=player_embedded" frameborder="0" allowfullscreen&gt;&lt;/iframe&gt;
[[code]]




&lt;iframe width="640" height="360" src="http://www.youtube.com/embed/YGU01bFKTjM?feature=player_embedded" frameborder="0" allowfullscreen&gt;&lt;/iframe&gt;</pre></div>
[[xenharmonic/Bohlen-Pierce|The Snow is Dancing]] by Debussy retuned to BP
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;[[http://micro.soonlabel.com/MOTU/Vaisvil-MOTU-8a-bending-the-rules-in-bohlen-pierce.mp3|Bending the Rules]]&lt;/span&gt; by [[Chris Vaisvil]]</pre></div>
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Bohlen-Pierce&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="The Bohlen-Pierce scale"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;The Bohlen-Pierce scale&lt;/h1&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Bohlen-Pierce&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="The Bohlen-Pierce scale"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;The Bohlen-Pierce scale&lt;/h1&gt;
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&lt;!-- ws:start:WikiTextRemoteImageRule:7:&amp;lt;img src=&amp;quot;http://www.ronsword.com/images/Sword_BP_guitars.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 422px; width: 543px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.ronsword.com/images/Sword_BP_guitars.jpg" alt="external image Sword_BP_guitars.jpg" title="external image Sword_BP_guitars.jpg" style="height: 422px; width: 543px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:7 --&gt;&lt;br /&gt;
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&lt;a class="wiki_link" href="/Ron%20Sword"&gt;Ron Sword&lt;/a&gt; and his 9-string 13-tone BP Touchstick/Guitar crossover instrument (aka: &amp;quot;&lt;em&gt;the Bohlen-Box&lt;/em&gt;&amp;quot;)&lt;br /&gt;
&lt;a class="wiki_link" href="/Ron%20Sword"&gt;Ron Sword&lt;/a&gt; and his 9-string 13-tone BP Touchstick/Guitar crossover instrument (aka: &amp;quot;&lt;em&gt;the Bohlen-Box&lt;/em&gt;&amp;quot;)&lt;br /&gt;
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Proposed by &lt;a class="wiki_link" href="/Paul%20Erlich"&gt;Paul Erlich&lt;/a&gt;, is the Triple Bohlen-Pierce Scale, or 39th root of 3. It approximates additional odd harmonics and can be used in a variety of ways, for both just intonation chords and harmonies, as standard Bohlen-Pierce scale interlocking three times with calm sounding quarter-tones, and for various JI modulations.&lt;br /&gt;
Proposed by &lt;a class="wiki_link" href="/Paul%20Erlich"&gt;Paul Erlich&lt;/a&gt;, is the Triple Bohlen-Pierce Scale, or 39th root of 3. It approximates additional odd harmonics and can be used in a variety of ways, for both just intonation chords and harmonies, as standard Bohlen-Pierce scale interlocking three times with calm sounding quarter-tones, and for various JI modulations.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextRemoteImageRule:9:&amp;lt;img src=&amp;quot;http://www.ronsword.com/images/3BP3.JPG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 340px; width: 672px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.ronsword.com/images/3BP3.JPG" alt="external image 3BP3.JPG" title="external image 3BP3.JPG" style="height: 340px; width: 672px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:9 --&gt;(triple bohlen-pierce &lt;span class="UIStory_Message"&gt;39√3 Classical Guitar by Ron Sword&lt;/span&gt;)&lt;br /&gt;
&lt;!-- ws:start:WikiTextRemoteImageRule:10:&amp;lt;img src=&amp;quot;http://www.ronsword.com/images/3BP3.JPG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 340px; width: 672px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.ronsword.com/images/3BP3.JPG" alt="external image 3BP3.JPG" title="external image 3BP3.JPG" style="height: 340px; width: 672px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:10 --&gt;(triple bohlen-pierce &lt;span class="UIStory_Message"&gt;39√3 Classical Guitar by Ron Sword&lt;/span&gt;)&lt;br /&gt;
&lt;strong&gt;Theory&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;Theory&lt;/strong&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.huygens-fokker.org/bpsite/" rel="nofollow"&gt;Bohlen Pierce website&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.huygens-fokker.org/bpsite/" rel="nofollow"&gt;Bohlen Pierce website&lt;/a&gt;&lt;br /&gt;
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Sword, Ronald. &amp;quot;Bohlen Pierce Scales for Guitar&amp;quot; IAAA Press, UK-USA. First Ed: May 2009.&lt;br /&gt;
Sword, Ronald. &amp;quot;Bohlen Pierce Scales for Guitar&amp;quot; IAAA Press, UK-USA. First Ed: May 2009.&lt;br /&gt;
&lt;a class="wiki_link" href="/Intervals%20of%20BP"&gt;Intervals of BP&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Intervals%20of%20BP"&gt;Intervals of BP&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="The Bohlen-Pierce scale-Physical instruments tuned to the BP scale"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Physical instruments tuned to the BP scale&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="The Bohlen-Pierce scale-Physical instruments tuned to the BP scale"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Physical instruments tuned to the BP scale&lt;/h2&gt;
  &lt;a class="wiki_link_ext" href="http://www.swordguitars.com/Sword_Bohlen_Pierce_acoustic.JPG" rel="nofollow" target="_blank"&gt;Bohlen Pierce guitar&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link_ext" href="http://www.swordguitars.com/Sword_Bohlen_Pierce_acoustic.JPG" rel="nofollow" target="_blank"&gt;Bohlen Pierce guitar&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/microtonal%20clarinet#BPClarinets"&gt;Clarinets&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/microtonal%20clarinet#BPClarinets"&gt;Clarinets&lt;/a&gt;&lt;br /&gt;
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Electronic Organ&lt;br /&gt;
Electronic Organ&lt;br /&gt;
Stredici&lt;br /&gt;
Stredici&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="The Bohlen-Pierce scale-Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;Compositions&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="The Bohlen-Pierce scale-Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Compositions&lt;/h2&gt;
  Links to available music written in BP at &lt;a class="wiki_link_ext" href="http://www.huygens-fokker.org/bpsite/references2.html#anchor81501" rel="nofollow"&gt;above website&lt;/a&gt;.&lt;br /&gt;
  Links to available music written in BP at &lt;a class="wiki_link_ext" href="http://www.huygens-fokker.org/bpsite/references2.html#anchor81501" rel="nofollow"&gt;above website&lt;/a&gt;.&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;a class="wiki_link_ext" href="http://www.seraph.it/XenoTunes4_files/Bohl-en%20Roll.mp3" rel="nofollow"&gt;Bohl-en Roll&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt;&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;a class="wiki_link_ext" href="http://www.seraph.it/XenoTunes4_files/Bohl-en%20Roll.mp3" rel="nofollow"&gt;Bohl-en Roll&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt;&lt;br /&gt;
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&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com/sounds/BP_stretched_chroma.mp3" rel="nofollow" target="_blank"&gt;Bohlen-Pierce &amp;quot;Stretched Chroma&amp;quot; Acoustic Improvisation&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Ron%20Sword"&gt;Ron Sword&lt;/a&gt;&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com/sounds/BP_stretched_chroma.mp3" rel="nofollow" target="_blank"&gt;Bohlen-Pierce &amp;quot;Stretched Chroma&amp;quot; Acoustic Improvisation&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Ron%20Sword"&gt;Ron Sword&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.kunstmusik.com/2010/03/08/reminiscences/" rel="nofollow" target="_blank"&gt;Reminiscences&lt;/a&gt; &lt;a class="wiki_link" href="/Steven%20Yi"&gt;Steven Yi&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.kunstmusik.com/2010/03/08/reminiscences/" rel="nofollow" target="_blank"&gt;Reminiscences&lt;/a&gt; &lt;a class="wiki_link" href="/Steven%20Yi"&gt;Steven Yi&lt;/a&gt;&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/mp3/Roll%27n%27Peace.mp3" rel="nofollow"&gt;Roll'n'Peace&lt;/a&gt;&lt;/span&gt; by Jean-Pierre Poulin&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/11371948?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;11371948&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://mediaplayer.yahoo.com/js"&gt;
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&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/01%20-%201.%20Bohlen-Pierce.mp3" rel="nofollow"&gt;Comets Over Flatland 1&lt;/a&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;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/01%20-%201.%20Bohlen-Pierce.mp3" rel="nofollow"&gt;Comets Over Flatland 1&lt;/a&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;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/02%20-%202.%20Bohlen-Pierce.mp3" rel="nofollow"&gt;Comets Over Flatland 2&lt;/a&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;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/02%20-%202.%20Bohlen-Pierce.mp3" rel="nofollow"&gt;Comets Over Flatland 2&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Randy%20Winchester"&gt;Randy Winchester&lt;/a&gt;&lt;br /&gt;
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&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/04%20-%204.%20Bohlen-Pierce.mp3" rel="nofollow"&gt;Comets Over Flatland 4&lt;/a&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;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/04%20-%204.%20Bohlen-Pierce.mp3" rel="nofollow"&gt;Comets Over Flatland 4&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Randy%20Winchester"&gt;Randy Winchester&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://Bohlen-Pierce%20Island" rel="nofollow"&gt;Bohlen-Pierce Island audio&lt;/a&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://Bohlen-Pierce%20Island" rel="nofollow"&gt;Bohlen-Pierce Island audio&lt;/a&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
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&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Bohlen-Pierce"&gt;The Snow is Dancing&lt;/a&gt; by Debussy retuned to BP&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Bohlen-Pierce"&gt;The Snow is Dancing&lt;/a&gt; by Debussy retuned to BP&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/MOTU/Vaisvil-MOTU-8a-bending-the-rules-in-bohlen-pierce.mp3" rel="nofollow"&gt;Bending the Rules&lt;/a&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/MOTU/Vaisvil-MOTU-8a-bending-the-rules-in-bohlen-pierce.mp3" rel="nofollow"&gt;Bending the Rules&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;iframe width=&amp;quot;640&amp;quot; height=&amp;quot;360&amp;quot; src=&amp;quot;&lt;!-- ws:start:WikiTextUrlRule:112:http://www.youtube.com/embed/YGU01bFKTjM?feature=player_embedded --&gt;&lt;a class="wiki_link_ext" href="http://www.youtube.com/embed/YGU01bFKTjM?feature=player_embedded" rel="nofollow"&gt;http://www.youtube.com/embed/YGU01bFKTjM?feature=player_embedded&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:112 --&gt;&amp;quot; frameborder=&amp;quot;0&amp;quot; allowfullscreen&amp;gt;&amp;lt;/iframe&amp;gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 16:47, 3 January 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author vaisvil and made on 2012-01-03 16:47:16 UTC.
The original revision id was 289364039.
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Original Wikitext content:

=The Bohlen-Pierce scale= 


The **Bohlen-Pierce** (**BP**) scale is a [[nonoctave]] scale, a 13-part equal division of the perfect-twelfth ([[3_1|3/1]]) or [[Tritave]] (**13edt**). Each step is about 146 ¢, making it a [[macrotonal]] scale. It is closely related to the rank two temperament [[Sensamagic clan#Bohpier|bohpier]], and in fact chords of Bohlen-Pierce may be found listed on the page [[chords of bohpier]].

It was discovered independently by [[Heinz Bohlen]], [[John Pierce]], [[Kees van Prooijen]], and perhaps others, usually noticed for its good approximation of odd-number just ratios 3:5, 5:7, 3:7, etc.



[[image:http://www.ronsword.com/images/Sword_BP_guitars.jpg width="543" height="422"]]

[[image:http://ronsword.com/bpguitar.JPG width="171" height="224"]]
[[Ron Sword]] and his 9-string 13-tone BP Touchstick/Guitar crossover instrument (aka: "//the Bohlen-Box//")

**Triple Bohlen-Pierce**

Proposed by [[Paul Erlich]], is the Triple Bohlen-Pierce Scale, or 39th root of 3. It approximates additional odd harmonics and can be used in a variety of ways, for both just intonation chords and harmonies, as standard Bohlen-Pierce scale interlocking three times with calm sounding quarter-tones, and for various JI modulations.

[[image:http://www.ronsword.com/images/3BP3.JPG width="672" height="340"]](triple bohlen-pierce <span class="UIStory_Message">39√3 Classical Guitar by Ron Sword</span>)
**Theory**
[[http://www.huygens-fokker.org/bpsite/|Bohlen Pierce website]]
[[http://en.wikipedia.org/wiki/Bohlen-Pierce_scale|Wikipedia Bohlen-Pierce scale]]
[[http://ziaspace.com/_microtonality/BP/|Bohlen-Pierce Scale Research]] by Elaine Walker
Sword, Ronald. "Bohlen Pierce Scales for Guitar" IAAA Press, UK-USA. First Ed: May 2009.
[[Intervals of BP]]
==Physical instruments tuned to the BP scale== 
[[@http://www.swordguitars.com/Sword_Bohlen_Pierce_acoustic.JPG|Bohlen Pierce guitar]]
[[microtonal clarinet#BPClarinets|Clarinets]]
Metallophone
Electronic Organ
Stredici
==Compositions== 
Links to available music written in BP at [[http://www.huygens-fokker.org/bpsite/references2.html#anchor81501|above website]].
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://www.seraph.it/XenoTunes4_files/Bohl-en%20Roll.mp3|Bohl-en Roll]]</span> by [[Carlo Serafini]]
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[@http://www.jeanpierrepoulin.com/mp3/BPguitares.mp3|Bohlen-Pierce electric guitar improvisation]]</span> by [[@http://www.jeanpierrepoulin.com/|Jean-Pierre Poulin]]
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[@http://www.ronsword.com/sounds/BP_stretched_chroma.mp3|Bohlen-Pierce "Stretched Chroma" Acoustic Improvisation]]</span> by [[Ron Sword]]
[[@http://www.kunstmusik.com/2010/03/08/reminiscences/|Reminiscences]] [[Steven Yi]]
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://www.jeanpierrepoulin.com/mp3/Roll%27n%27Peace.mp3|Roll'n'Peace]]</span> by Jean-Pierre Poulin[[media type="custom" key="11371948"]]
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/01%20-%201.%20Bohlen-Pierce.mp3|Comets Over Flatland 1]]</span> by [[Randy Winchester]]
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/02%20-%202.%20Bohlen-Pierce.mp3|Comets Over Flatland 2]]</span> by [[Randy Winchester]]
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/03%20-%203.%20Bohlen-Pierce.mp3|Comets Over Flatland 3]]</span> by [[Randy Winchester]]
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/04%20-%204.%20Bohlen-Pierce.mp3|Comets Over Flatland 4]]</span> by [[Randy Winchester]]
[[http://Bohlen-Pierce%20Island|Bohlen-Pierce Island audio]] by [[Chris Vaisvil]]
[[code format="html4strict"]]
<iframe width="640" height="360" src="http://www.youtube.com/embed/YGU01bFKTjM?feature=player_embedded" frameborder="0" allowfullscreen></iframe>
[[code]]


[[xenharmonic/Bohlen-Pierce|The Snow is Dancing]] by Debussy retuned to BP
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/MOTU/Vaisvil-MOTU-8a-bending-the-rules-in-bohlen-pierce.mp3|Bending the Rules]]</span> by [[Chris Vaisvil]]

Original HTML content:

<html><head><title>Bohlen-Pierce</title></head><body><!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="The Bohlen-Pierce scale"></a><!-- ws:end:WikiTextHeadingRule:2 -->The Bohlen-Pierce scale</h1>
 <br />
<br />
The <strong>Bohlen-Pierce</strong> (<strong>BP</strong>) scale is a <a class="wiki_link" href="/nonoctave">nonoctave</a> scale, a 13-part equal division of the perfect-twelfth (<a class="wiki_link" href="/3_1">3/1</a>) or <a class="wiki_link" href="/Tritave">Tritave</a> (<strong>13edt</strong>). Each step is about 146 ¢, making it a <a class="wiki_link" href="/macrotonal">macrotonal</a> scale. It is closely related to the rank two temperament <a class="wiki_link" href="/Sensamagic%20clan#Bohpier">bohpier</a>, and in fact chords of Bohlen-Pierce may be found listed on the page <a class="wiki_link" href="/chords%20of%20bohpier">chords of bohpier</a>.<br />
<br />
It was discovered independently by <a class="wiki_link" href="/Heinz%20Bohlen">Heinz Bohlen</a>, <a class="wiki_link" href="/John%20Pierce">John Pierce</a>, <a class="wiki_link" href="/Kees%20van%20Prooijen">Kees van Prooijen</a>, and perhaps others, usually noticed for its good approximation of odd-number just ratios 3:5, 5:7, 3:7, etc.<br />
<br />
<br />
<br />
<!-- ws:start:WikiTextRemoteImageRule:8:&lt;img src=&quot;http://www.ronsword.com/images/Sword_BP_guitars.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 422px; width: 543px;&quot; /&gt; --><img src="http://www.ronsword.com/images/Sword_BP_guitars.jpg" alt="external image Sword_BP_guitars.jpg" title="external image Sword_BP_guitars.jpg" style="height: 422px; width: 543px;" /><!-- ws:end:WikiTextRemoteImageRule:8 --><br />
<br />
<!-- ws:start:WikiTextRemoteImageRule:9:&lt;img src=&quot;http://ronsword.com/bpguitar.JPG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 224px; width: 171px;&quot; /&gt; --><img src="http://ronsword.com/bpguitar.JPG" alt="external image bpguitar.JPG" title="external image bpguitar.JPG" style="height: 224px; width: 171px;" /><!-- ws:end:WikiTextRemoteImageRule:9 --><br />
<a class="wiki_link" href="/Ron%20Sword">Ron Sword</a> and his 9-string 13-tone BP Touchstick/Guitar crossover instrument (aka: &quot;<em>the Bohlen-Box</em>&quot;)<br />
<br />
<strong>Triple Bohlen-Pierce</strong><br />
<br />
Proposed by <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a>, is the Triple Bohlen-Pierce Scale, or 39th root of 3. It approximates additional odd harmonics and can be used in a variety of ways, for both just intonation chords and harmonies, as standard Bohlen-Pierce scale interlocking three times with calm sounding quarter-tones, and for various JI modulations.<br />
<br />
<!-- ws:start:WikiTextRemoteImageRule:10:&lt;img src=&quot;http://www.ronsword.com/images/3BP3.JPG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 340px; width: 672px;&quot; /&gt; --><img src="http://www.ronsword.com/images/3BP3.JPG" alt="external image 3BP3.JPG" title="external image 3BP3.JPG" style="height: 340px; width: 672px;" /><!-- ws:end:WikiTextRemoteImageRule:10 -->(triple bohlen-pierce <span class="UIStory_Message">39√3 Classical Guitar by Ron Sword</span>)<br />
<strong>Theory</strong><br />
<a class="wiki_link_ext" href="http://www.huygens-fokker.org/bpsite/" rel="nofollow">Bohlen Pierce website</a><br />
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Bohlen-Pierce_scale" rel="nofollow">Wikipedia Bohlen-Pierce scale</a><br />
<a class="wiki_link_ext" href="http://ziaspace.com/_microtonality/BP/" rel="nofollow">Bohlen-Pierce Scale Research</a> by Elaine Walker<br />
Sword, Ronald. &quot;Bohlen Pierce Scales for Guitar&quot; IAAA Press, UK-USA. First Ed: May 2009.<br />
<a class="wiki_link" href="/Intervals%20of%20BP">Intervals of BP</a><br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="The Bohlen-Pierce scale-Physical instruments tuned to the BP scale"></a><!-- ws:end:WikiTextHeadingRule:4 -->Physical instruments tuned to the BP scale</h2>
 <a class="wiki_link_ext" href="http://www.swordguitars.com/Sword_Bohlen_Pierce_acoustic.JPG" rel="nofollow" target="_blank">Bohlen Pierce guitar</a><br />
<a class="wiki_link" href="/microtonal%20clarinet#BPClarinets">Clarinets</a><br />
Metallophone<br />
Electronic Organ<br />
Stredici<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc2"><a name="The Bohlen-Pierce scale-Compositions"></a><!-- ws:end:WikiTextHeadingRule:6 -->Compositions</h2>
 Links to available music written in BP at <a class="wiki_link_ext" href="http://www.huygens-fokker.org/bpsite/references2.html#anchor81501" rel="nofollow">above website</a>.<br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://www.seraph.it/XenoTunes4_files/Bohl-en%20Roll.mp3" rel="nofollow">Bohl-en Roll</a></span> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a><br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/mp3/BPguitares.mp3" rel="nofollow" target="_blank">Bohlen-Pierce electric guitar improvisation</a></span> by <a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/" rel="nofollow" target="_blank">Jean-Pierre Poulin</a><br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://www.ronsword.com/sounds/BP_stretched_chroma.mp3" rel="nofollow" target="_blank">Bohlen-Pierce &quot;Stretched Chroma&quot; Acoustic Improvisation</a></span> by <a class="wiki_link" href="/Ron%20Sword">Ron Sword</a><br />
<a class="wiki_link_ext" href="http://www.kunstmusik.com/2010/03/08/reminiscences/" rel="nofollow" target="_blank">Reminiscences</a> <a class="wiki_link" href="/Steven%20Yi">Steven Yi</a><br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/mp3/Roll%27n%27Peace.mp3" rel="nofollow">Roll'n'Peace</a></span> by Jean-Pierre Poulin<!-- ws:start:WikiTextMediaRule:1:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/11371948?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;11371948&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js">
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<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/01%20-%201.%20Bohlen-Pierce.mp3" rel="nofollow">Comets Over Flatland 1</a></span> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a><br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/02%20-%202.%20Bohlen-Pierce.mp3" rel="nofollow">Comets Over Flatland 2</a></span> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a><br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/03%20-%203.%20Bohlen-Pierce.mp3" rel="nofollow">Comets Over Flatland 3</a></span> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a><br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/04%20-%204.%20Bohlen-Pierce.mp3" rel="nofollow">Comets Over Flatland 4</a></span> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a><br />
<a class="wiki_link_ext" href="http://Bohlen-Pierce%20Island" rel="nofollow">Bohlen-Pierce Island audio</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br />
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<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Bohlen-Pierce">The Snow is Dancing</a> by Debussy retuned to BP<br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/MOTU/Vaisvil-MOTU-8a-bending-the-rules-in-bohlen-pierce.mp3" rel="nofollow">Bending the Rules</a></span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></body></html>