Bohlen–Pierce scale: Difference between revisions
Wikispaces>Stephen_Weigel **Imported revision 608828963 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 615834383 - Original comment: added link (deorphaning)** |
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2017-07-22 22:45:00 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>615834383</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>added link (deorphaning)</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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=Triple Bohlen-Pierce= | =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. | 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. | ||
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||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">8/39</span> ||= <span style="display: block; text-align: center;">390.145</span> ||= <span style="display: block; text-align: center;">341.38</span> ||= <span style="display: block; text-align: center;">48.77</span> ||= || | ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">8/39</span> ||= <span style="display: block; text-align: center;">390.145</span> ||= <span style="display: block; text-align: center;">341.38</span> ||= <span style="display: block; text-align: center;">48.77</span> ||= || | ||
||= <span style="display: block; text-align: center;">1/5</span> ||= ||= ||= ||= ||= ||= ||||= <span style="display: block; text-align: center;">380.39</span> ||= 0 ||= || | ||= <span style="display: block; text-align: center;">1/5</span> ||= ||= ||= ||= ||= ||= ||||= <span style="display: block; text-align: center;">380.39</span> ||= 0 ||= || | ||
=Physical instruments tuned to the BP scale= | =Physical instruments tuned to the BP scale= | ||
[[@http://www.swordguitars.com/Sword_Bohlen_Pierce_acoustic.JPG|Bohlen Pierce guitar]] | [[@http://www.swordguitars.com/Sword_Bohlen_Pierce_acoustic.JPG|Bohlen Pierce guitar]] | ||
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=Compositions= | =Compositions= | ||
[[https://soundcloud.com/overtoneshock/a-mean-little-voice-bohlen-pierce-or-13ed3|A Mean Little Voice]] by Stephen Weigel | [[https://soundcloud.com/overtoneshock/a-mean-little-voice-bohlen-pierce-or-13ed3|A Mean Little Voice]] by Stephen Weigel | ||
[[http://chrisvaisvil.com/ask-for-it-over-the-ridge/|Ask For It]] by [[Chris Vaisvil]] | [[http://chrisvaisvil.com/ask-for-it-over-the-ridge/|Ask For It]] by [[Chris Vaisvil]] | ||
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<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/gene_ward_smith/Others/Hansen/Bohlen-Pierce%20Canon.mp3|Bohlen-Pierce Canon]]</span> by <span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">[[http://www.youtube.com/watch?v=sd1b9Lh8iFA|Kjell Hansen]]</span>. | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/gene_ward_smith/Others/Hansen/Bohlen-Pierce%20Canon.mp3|Bohlen-Pierce Canon]]</span> by <span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">[[http://www.youtube.com/watch?v=sd1b9Lh8iFA|Kjell Hansen]]</span>. | ||
[[http://chrisvaisvil.com/bohlens-pierced-waltz/|Bohlen's Pierced Waltz]] by [[Chris Vaisvil]] | [[http://chrisvaisvil.com/bohlens-pierced-waltz/|Bohlen's Pierced Waltz]] by [[Chris Vaisvil]] | ||
[[http://chrisvaisvil.com/the-complex-plane-bp-guitar/|The Complex Plane ]]by [[Chris Vaisvil]]</pre></div> | [[http://chrisvaisvil.com/the-complex-plane-bp-guitar/|The Complex Plane ]]by [[Chris Vaisvil]] | ||
==See also== | |||
* [[Catalog of 3.5.7 subgroup rank two temperaments]]</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"><html><head><title>Bohlen-Pierce</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/Bohlen-Pierce">Deutsch</a><br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Bohlen-Pierce</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/Bohlen-Pierce">Deutsch</a><br /> | ||
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<br /> | <br /> | ||
Chris Vaisvil's BP electric =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/the-bohlen-pierce-epiphone-roadie-guitar/" rel="nofollow">Music from this guitar</a><br /> | Chris Vaisvil's BP electric =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/the-bohlen-pierce-epiphone-roadie-guitar/" rel="nofollow">Music from this guitar</a><br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:3217:&lt;img src=&quot;http://chrisvaisvil.com/wp-content/uploads/2016/05/052-crop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://chrisvaisvil.com/wp-content/uploads/2016/05/052-crop.jpg" alt="external image 052-crop.jpg" title="external image 052-crop.jpg" /><!-- ws:end:WikiTextRemoteImageRule:3217 --><br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:3218:&lt;img src=&quot;http://www.ronsword.com/images/Sword_BP_guitars.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;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="width: 543px;" /><!-- ws:end:WikiTextRemoteImageRule:3218 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:3219:&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:3219 --><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 /> | <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 /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Triple Bohlen-Pierce"></a><!-- ws:end:WikiTextHeadingRule:1 -->Triple Bohlen-Pierce</h1> | <!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Triple Bohlen-Pierce"></a><!-- ws:end:WikiTextHeadingRule:1 -->Triple Bohlen-Pierce</h1> | ||
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 /> | |||
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 /> | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:3220:&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:3220 -->(triple bohlen-pierce <span class="UIStory_Message">39√3 Classical Guitar by Ron Sword</span>)<br /> | ||
<!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:3 -->Theory</h1> | <!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:3 -->Theory</h1> | ||
<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://www.huygens-fokker.org/bpsite/" rel="nofollow">Bohlen Pierce website</a><br /> | ||
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</table> | </table> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Physical instruments tuned to the BP scale"></a><!-- ws:end:WikiTextHeadingRule:7 -->Physical instruments tuned to the BP scale</h1> | <!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Physical instruments tuned to the BP scale"></a><!-- ws:end:WikiTextHeadingRule:7 -->Physical instruments tuned to the BP scale</h1> | ||
<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_ext" href="http://www.swordguitars.com/Sword_Bohlen_Pierce_acoustic.JPG" rel="nofollow" target="_blank">Bohlen Pierce guitar</a><br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:9 -->Compositions</h1> | <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:9 -->Compositions</h1> | ||
<a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/a-mean-little-voice-bohlen-pierce-or-13ed3" rel="nofollow">A Mean Little Voice</a> by Stephen Weigel<br /> | |||
<a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/a-mean-little-voice-bohlen-pierce-or-13ed3" rel="nofollow">A Mean Little Voice</a> by Stephen Weigel<br /> | |||
<a class="wiki_link_ext" href="http://chrisvaisvil.com/ask-for-it-over-the-ridge/" rel="nofollow">Ask For It</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | <a class="wiki_link_ext" href="http://chrisvaisvil.com/ask-for-it-over-the-ridge/" rel="nofollow">Ask For It</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
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 /> | 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 /> | ||
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<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Hansen/Bohlen-Pierce%20Canon.mp3" rel="nofollow">Bohlen-Pierce Canon</a></span> by <span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=sd1b9Lh8iFA" rel="nofollow">Kjell Hansen</a></span>.<br /> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Hansen/Bohlen-Pierce%20Canon.mp3" rel="nofollow">Bohlen-Pierce Canon</a></span> by <span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=sd1b9Lh8iFA" rel="nofollow">Kjell Hansen</a></span>.<br /> | ||
<a class="wiki_link_ext" href="http://chrisvaisvil.com/bohlens-pierced-waltz/" rel="nofollow">Bohlen's Pierced Waltz</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | <a class="wiki_link_ext" href="http://chrisvaisvil.com/bohlens-pierced-waltz/" rel="nofollow">Bohlen's Pierced Waltz</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<a class="wiki_link_ext" href="http://chrisvaisvil.com/the-complex-plane-bp-guitar/" rel="nofollow">The Complex Plane </a>by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://chrisvaisvil.com/the-complex-plane-bp-guitar/" rel="nofollow">The Complex Plane </a>by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="Compositions-See also"></a><!-- ws:end:WikiTextHeadingRule:11 -->See also</h2> | |||
<ul><li><a class="wiki_link" href="/Catalog%20of%203.5.7%20subgroup%20rank%20two%20temperaments">Catalog of 3.5.7 subgroup rank two temperaments</a></li></ul></body></html></pre></div> | |||