7edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 320333096 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 320340508 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-04-13 19:10:34 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-04-13 20:10:42 UTC</tt>.<br>
: The original revision id was <tt>320333096</tt>.<br>
: The original revision id was <tt>320340508</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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[[http://sethares.engr.wisc.edu/mp3s/PagansRevenge.mp3|Pagan's Revenge]] by Bill Sethares (synthetic gamelan)
[[http://sethares.engr.wisc.edu/mp3s/PagansRevenge.mp3|Pagan's Revenge]] by Bill Sethares (synthetic gamelan)
[[http://www.akjmusic.com/audio/i_dream_of_tibet.mp3|I dream of Tibet]] by [[http://www.akjmusic.com/works.html|Aaron K. Johnson]] (electronic swirlies)
[[http://www.akjmusic.com/audio/i_dream_of_tibet.mp3|I dream of Tibet]] by [[http://www.akjmusic.com/works.html|Aaron K. Johnson]] (electronic swirlies)
[[http://www.mp3.com.au/album.asp?id=3227|Seven Equal Trio]] by Robert Walker ((synth) violin, viola, glockenspiel)
[[http://micro.soonlabel.com/gene_ward_smith/Others/Walker/Seven%20Equal%20Trio.mp3|Seven Equal Trio]] by [[http://robertinventor.tripod.com/tunes/tunes.htm#7_equal_trio|Robert Walker ((synth) violin, viola, glockenspiel)
[[http://micro.soonlabel.com/gene_ward_smith/Others/Hunt/7ET.mp3|Two-part Invention in 7TET]] by [[http://www.h-pi.com/musicFiles.html|Aaron Hunt]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Hunt/7ET.mp3|Two-part Invention in 7TET]] by [[http://www.h-pi.com/musicFiles.html|Aaron Hunt]]
[[http://www.uvnitr.cz/flaoyg/flao_yg/pavouci.html|Pavouci]], [[http://www.uvnitr.cz/flaoyg/flao_yg/kelt.html|Kelt]] by Milan Guštar
[[http://www.uvnitr.cz/flaoyg/flao_yg/pavouci.html|Pavouci]], [[http://www.uvnitr.cz/flaoyg/flao_yg/kelt.html|Kelt]] by Milan Guštar
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[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/06%20-%206.%207%20octave.mp3|Comets Over Flatland 6]] by [[Randy Winchester]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/06%20-%206.%207%20octave.mp3|Comets Over Flatland 6]] by [[Randy Winchester]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Nuorvala/S%e4velm%e4.mp3|Sävelmä]] by [[http://soundcloud.com/juhani-nuorvala/s-velm-long-version|Juhani Nuorvala]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Nuorvala/S%e4velm%e4.mp3|Sävelmä]] by [[http://soundcloud.com/juhani-nuorvala/s-velm-long-version|Juhani Nuorvala]]
[[@http://www.ronsword.com/sounds/7edo2.mp3|7-edo Acoustic drone free-improv I]] (broken link) by Ron Sword
[[@http://www.ronsword.com/sounds/7edo3.mp3|7-edo Acoustic drone free-improv II]] (broken link) by Ron Sword


==Commas==  
==Commas==  
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&lt;br /&gt;
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Similarly, in equi-heptatonic systems the desire for harmonic sound may dictate constant adjustments of intonation away from the theoretical interval of 171 cents. One of the most impressive areas in Africa in which a pen-equidistant heptatonic scale is combined with a distinctively harmonic style based on singing in intervals of thirds plus fifths, or thirds plus fourths, is the eastern Angolan culture area. This music is heptatonic and non-modal; i.e., there is no concept of major or minor thirds as distinctive intervals. In principle all the thirds are neutral, but in practice the thirds rendered by the singers often approximate natural major thirds (386 cents), especially at points of rest. In this manner, the principles of equidistance and harmonic euphony are accommodated within one tonal-harmonic system. For the notation of such music, a seven-line stave is most appropriate, with each horizontal line representing one pitch level.&lt;br /&gt;
Similarly, in equi-heptatonic systems the desire for harmonic sound may dictate constant adjustments of intonation away from the theoretical interval of 171 cents. One of the most impressive areas in Africa in which a pen-equidistant heptatonic scale is combined with a distinctively harmonic style based on singing in intervals of thirds plus fifths, or thirds plus fourths, is the eastern Angolan culture area. This music is heptatonic and non-modal; i.e., there is no concept of major or minor thirds as distinctive intervals. In principle all the thirds are neutral, but in practice the thirds rendered by the singers often approximate natural major thirds (386 cents), especially at points of rest. In this manner, the principles of equidistance and harmonic euphony are accommodated within one tonal-harmonic system. For the notation of such music, a seven-line stave is most appropriate, with each horizontal line representing one pitch level.&lt;br /&gt;
&lt;u&gt;&lt;em&gt;(&amp;quot;African music.&amp;quot; Encyclopædia Britannica. 2009. Encyclopædia Britannica Online. 05 Jul. 2009 &amp;lt;&lt;!-- ws:start:WikiTextUrlRule:669:http://www.britannica.com/EBchecked/topic/719112/African-music --&gt;&lt;a class="wiki_link_ext" href="http://www.britannica.com/EBchecked/topic/719112/African-music" rel="nofollow"&gt;http://www.britannica.com/EBchecked/topic/719112/African-music&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:669 --&gt;&amp;gt;.&lt;/em&gt;&lt;/u&gt;)&lt;br /&gt;
&lt;u&gt;&lt;em&gt;(&amp;quot;African music.&amp;quot; Encyclopædia Britannica. 2009. Encyclopædia Britannica Online. 05 Jul. 2009 &amp;lt;&lt;!-- ws:start:WikiTextUrlRule:664:http://www.britannica.com/EBchecked/topic/719112/African-music --&gt;&lt;a class="wiki_link_ext" href="http://www.britannica.com/EBchecked/topic/719112/African-music" rel="nofollow"&gt;http://www.britannica.com/EBchecked/topic/719112/African-music&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:664 --&gt;&amp;gt;.&lt;/em&gt;&lt;/u&gt;)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A Thai xylophone measured by Morton (1974) &amp;quot;varied only plus or minus 5 cents,&amp;quot; from 7-TET. A Ugandan Chopi xylophone measured by Haddon (1952) was also tuned to this system.&lt;br /&gt;
A Thai xylophone measured by Morton (1974) &amp;quot;varied only plus or minus 5 cents,&amp;quot; from 7-TET. A Ugandan Chopi xylophone measured by Haddon (1952) was also tuned to this system.&lt;br /&gt;
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&lt;a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/mp3s/PagansRevenge.mp3" rel="nofollow"&gt;Pagan's Revenge&lt;/a&gt; by Bill Sethares (synthetic gamelan)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/mp3s/PagansRevenge.mp3" rel="nofollow"&gt;Pagan's Revenge&lt;/a&gt; by Bill Sethares (synthetic gamelan)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.akjmusic.com/audio/i_dream_of_tibet.mp3" rel="nofollow"&gt;I dream of Tibet&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://www.akjmusic.com/works.html" rel="nofollow"&gt;Aaron K. Johnson&lt;/a&gt; (electronic swirlies)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.akjmusic.com/audio/i_dream_of_tibet.mp3" rel="nofollow"&gt;I dream of Tibet&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://www.akjmusic.com/works.html" rel="nofollow"&gt;Aaron K. Johnson&lt;/a&gt; (electronic swirlies)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.mp3.com.au/album.asp?id=3227" rel="nofollow"&gt;Seven Equal Trio&lt;/a&gt; by Robert Walker ((synth) violin, viola, glockenspiel)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Walker/Seven%20Equal%20Trio.mp3" rel="nofollow"&gt;Seven Equal Trio&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://robertinventor.tripod.com/tunes/tunes.htm#7_equal_trio" rel="nofollow"&gt;Robert Walker ((synth) violin, viola, glockenspiel)[[http://micro.soonlabel.com/gene_ward_smith/Others/Hunt/7ET.mp3|Two-part Invention in 7TET&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://www.h-pi.com/musicFiles.html" rel="nofollow"&gt;Aaron Hunt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Hunt/7ET.mp3" rel="nofollow"&gt;Two-part Invention in 7TET&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://www.h-pi.com/musicFiles.html" rel="nofollow"&gt;Aaron Hunt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/flao_yg/pavouci.html" rel="nofollow"&gt;Pavouci&lt;/a&gt;, &lt;a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/flao_yg/kelt.html" rel="nofollow"&gt;Kelt&lt;/a&gt; by Milan Guštar&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/flao_yg/pavouci.html" rel="nofollow"&gt;Pavouci&lt;/a&gt;, &lt;a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/flao_yg/kelt.html" rel="nofollow"&gt;Kelt&lt;/a&gt; by Milan Guštar&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/7edo%20dance.mp3" rel="nofollow"&gt;7edo Dance&lt;/a&gt; by Carlo Serafini&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/7edo%20dance.mp3" rel="nofollow"&gt;7edo Dance&lt;/a&gt; by Carlo Serafini&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/06%20-%206.%207%20octave.mp3" rel="nofollow"&gt;Comets Over Flatland 6&lt;/a&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://micro.soonlabel.com/gene_ward_smith/Others/Winchester/06%20-%206.%207%20octave.mp3" rel="nofollow"&gt;Comets Over Flatland 6&lt;/a&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://micro.soonlabel.com/gene_ward_smith/Others/Nuorvala/S%e4velm%e4.mp3" rel="nofollow"&gt;Sävelmä&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://soundcloud.com/juhani-nuorvala/s-velm-long-version" rel="nofollow"&gt;Juhani Nuorvala&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Nuorvala/S%e4velm%e4.mp3" rel="nofollow"&gt;Sävelmä&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://soundcloud.com/juhani-nuorvala/s-velm-long-version" rel="nofollow"&gt;Juhani Nuorvala&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.ronsword.com/sounds/7edo2.mp3" rel="nofollow" target="_blank"&gt;7-edo Acoustic drone free-improv I&lt;/a&gt; (broken link) by Ron Sword&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.ronsword.com/sounds/7edo3.mp3" rel="nofollow" target="_blank"&gt;7-edo Acoustic drone free-improv II&lt;/a&gt; (broken link) by Ron Sword&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x7 Equal Divisions of the Octave-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Commas&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x7 Equal Divisions of the Octave-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Commas&lt;/h2&gt;