Bohlen–Pierce scale: Difference between revisions

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**Imported revision 126123733 - Original comment: composition by Steven Yi added**
Wikispaces>guest
**Imported revision 152552729 - 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:xenwolf|xenwolf]] and made on <tt>2010-03-09 08:19:43 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2010-07-14 02:46:16 UTC</tt>.<br>
: The original revision id was <tt>126123733</tt>.<br>
: The original revision id was <tt>152552729</tt>.<br>
: The revision comment was: <tt>composition by Steven Yi added</tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
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[[@http://www.jeanpierrepoulin.com/mp3/BPguitares.mp3|Bohlen-Pierce electric guitar improvisation]] by [[@http://www.jeanpierrepoulin.com/|Jean-Pierre Poulin]]
[[@http://www.jeanpierrepoulin.com/mp3/BPguitares.mp3|Bohlen-Pierce electric guitar improvisation]] by [[@http://www.jeanpierrepoulin.com/|Jean-Pierre Poulin]]
[[@http://www.ronsword.com/sounds/BP_stretched_chroma.mp3|Bohlen-Pierce "Stretched Chroma" Acoustic Improvisation]] by Ron Sword
[[@http://www.ronsword.com/sounds/BP_stretched_chroma.mp3|Bohlen-Pierce "Stretched Chroma" Acoustic Improvisation]] by Ron Sword
[[@http://www.kunstmusik.com/2010/03/08/reminiscences/|Reminiscences]] [[Steven Yi]]</pre></div>
[[@http://www.kunstmusik.com/2010/03/08/reminiscences/|Reminiscences]] [[Steven Yi]]
[[http://www.jeanpierrepoulin.com/mp3/Roll%27n%27Peace.mp3|Roll'n'Peace]] by Jean-Pierre Poulin</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:0:&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:0 --&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:0:&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:0 --&gt;The Bohlen-Pierce scale&lt;/h1&gt;
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&lt;a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/mp3/BPguitares.mp3" rel="nofollow" target="_blank"&gt;Bohlen-Pierce electric guitar improvisation&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/" rel="nofollow" target="_blank"&gt;Jean-Pierre Poulin&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/mp3/BPguitares.mp3" rel="nofollow" target="_blank"&gt;Bohlen-Pierce electric guitar improvisation&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/" rel="nofollow" target="_blank"&gt;Jean-Pierre Poulin&lt;/a&gt;&lt;br /&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; by Ron Sword&lt;br /&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; by Ron Sword&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;/body&gt;&lt;/html&gt;</pre></div>
&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.jeanpierrepoulin.com/mp3/Roll%27n%27Peace.mp3" rel="nofollow"&gt;Roll'n'Peace&lt;/a&gt; by Jean-Pierre Poulin&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 02:46, 14 July 2010

IMPORTED REVISION FROM WIKISPACES

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This revision was by author guest and made on 2010-07-14 02:46:16 UTC.
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Original Wikitext content:

=The Bohlen-Pierce scale= 


The Bohlen-Pierce scale is a [[nonoctave]] scale, a 13-part equal division of the perfect-twelfth (3/1). Each step is about 146 ¢, making it a [[macrotonal]] scale.

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://www.ziaspace.com/elaine/BP/The%20Bohlen-Pierce%20Scale.html|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]].
[[http://www.seraph.it/XenoTunes4_files/Bohl-en%20Roll.mp3|Bohl-en Roll]] by Carlo Serafini
[[@http://www.jeanpierrepoulin.com/mp3/BPguitares.mp3|Bohlen-Pierce electric guitar improvisation]] by [[@http://www.jeanpierrepoulin.com/|Jean-Pierre Poulin]]
[[@http://www.ronsword.com/sounds/BP_stretched_chroma.mp3|Bohlen-Pierce "Stretched Chroma" Acoustic Improvisation]] by Ron Sword
[[@http://www.kunstmusik.com/2010/03/08/reminiscences/|Reminiscences]] [[Steven Yi]]
[[http://www.jeanpierrepoulin.com/mp3/Roll%27n%27Peace.mp3|Roll'n'Peace]] by Jean-Pierre Poulin

Original HTML content:

<html><head><title>Bohlen-Pierce</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="The Bohlen-Pierce scale"></a><!-- ws:end:WikiTextHeadingRule:0 -->The Bohlen-Pierce scale</h1>
 <br />
<br />
The Bohlen-Pierce scale is a <a class="wiki_link" href="/nonoctave">nonoctave</a> scale, a 13-part equal division of the perfect-twelfth (3/1). Each step is about 146 ¢, making it a <a class="wiki_link" href="/macrotonal">macrotonal</a> scale.<br />
<br />
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.<br />
<br />
<br />
<br />
<!-- ws:start:WikiTextRemoteImageRule:6:&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:6 --><br />
<br />
<!-- ws:start:WikiTextRemoteImageRule:7:&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:7 -->Ron Sword 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 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.<br />
<br />
<!-- ws:start:WikiTextRemoteImageRule:8:&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:8 -->(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://www.ziaspace.com/elaine/BP/The%20Bohlen-Pierce%20Scale.html" 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:2:&lt;h2&gt; --><h2 id="toc1"><a name="The Bohlen-Pierce scale-Physical instruments tuned to the BP scale"></a><!-- ws:end:WikiTextHeadingRule:2 -->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:4:&lt;h2&gt; --><h2 id="toc2"><a name="The Bohlen-Pierce scale-Compositions"></a><!-- ws:end:WikiTextHeadingRule:4 -->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 />
<a class="wiki_link_ext" href="http://www.seraph.it/XenoTunes4_files/Bohl-en%20Roll.mp3" rel="nofollow">Bohl-en Roll</a> by Carlo Serafini<br />
<a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/mp3/BPguitares.mp3" rel="nofollow" target="_blank">Bohlen-Pierce electric guitar improvisation</a> by <a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/" rel="nofollow" target="_blank">Jean-Pierre Poulin</a><br />
<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> by Ron Sword<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 />
<a class="wiki_link_ext" href="http://www.jeanpierrepoulin.com/mp3/Roll%27n%27Peace.mp3" rel="nofollow">Roll'n'Peace</a> by Jean-Pierre Poulin</body></html>