13edo: Difference between revisions
Wikispaces>phylingual **Imported revision 392042544 - Original comment: ** |
Wikispaces>phylingual **Imported revision 392043468 - 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:phylingual|phylingual]] and made on <tt>2012-12-13 13: | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-12-13 13:27:19 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>392043468</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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=Animism= | =Animism= | ||
The animist comma, 105/104, appears whenever 3*5*7=13... | The animist comma, 105/104, appears whenever 3*5*7=13... 13edo does not approximate 3 and 7 individually (26edo does), but 13edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction | ||
0 4 5 8 9 13 pentatonic | 0 4 5 8 9 13 pentatonic | ||
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=**Compositions**= | =**Compositions**= | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.microtonalmusic.net/audio/slowdance13edo.mp3|Slow Dance]]</span> by [[http://danielthompson.blogspot.com/|Daniel Thompson]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/Prelude%20in%2013ET.mp3|Prelude in 13ET]]</span> by [[Aaron Andrew Hunt]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/13ET.mp3|Two-Part Invention in 13ET]]</span> by [[Aaron Andrew Hunt]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/triskaidekaphobia.mp3|Triskaidekaphobia]]</span> by [[http://www.io.com/%7Ehmiller/music/|Herman Miller]] | ||
[[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&songID=835265|Spikey Hair in 13tET]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | [[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&songID=835265|Spikey Hair in 13tET]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+improvisationin13tet.mp3|play]]</span> by [[Andrew Heathwaite]] | ||
//[[file:Fuzz Reef.mp3|Fuzz Reef]]// in Glacial[7] by Chuckles McGee | //[[file:Fuzz Reef.mp3|Fuzz Reef]]// in Glacial[7] by Chuckles McGee | ||
//[[file:Lunar Approach.mp3|Lunar Approach]]// in Father[8] by Chuckles McGee | //[[file:Lunar Approach.mp3|Lunar Approach]]// in Father[8] by Chuckles McGee | ||
[[@http://www.elvenminstrel.com/music/tuning/equal/13equal/13tet.htm|Upsidedown and Backwards: Explorations in 13-tone Equal Temperament]] by [[http://www.elvenminstrel.com/|David J. Finnamore]] | [[@http://www.elvenminstrel.com/music/tuning/equal/13equal/13tet.htm|Upsidedown and Backwards: Explorations in 13-tone Equal Temperament]] by [[http://www.elvenminstrel.com/|David J. Finnamore]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/11%20-%2011.%2013%20octave.mp3|Comets Over Flatland 11]]</span> by [[Randy Winchester]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/13edo/20120225-midiaxe-prelude-for-synthesizer-in-13-equal.mp3|Prelude for Synthesizer in 13 Equal]]</span> by [[Chris Vaisvil]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/13edo/muon_catalyzed_fusion_13_edo.mp3|Muon Catalyzed Fusion]]</span> by [[Chris Vaisvil]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.seraph.it/dep/det/13Miles.mp3|13 Miles]]</span> by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/ca5de720a48c401bcab8fc82c3b81ddc-152.html|blog entry]]) | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.seraph.it/dep/det/FastAndFurious13.mp3|Fast And Furious 13]]</span> by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/d2849db485fe3de42e769dad4db3a6ac-153.html|blog entry]]) | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.seraph.it/dep/det/SazDul13.mp3|SazDul 13]]</span> by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/bb5f0dcff57ba4fc56fcf50f54f10e4b-154.html|blog entry]]) | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.seraph.it/dep/det/Thirteenstan.mp3|Thirteenstan]]</span> by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/2cd2657e7fc17cdbe44dcd5fc255a951-155.html|blog entry]]) | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.seraph.it/dep/det/Concertina13.mp3|Concertina 13]]</span> by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/3e06afae9b0565b3bc0f39581683cfa7-156.html|blog entry]]) | ||
[[@http://soundcloud.com/xenvotta/sets/votta-liber-stellarum-for/|Liber Stellarum]] by [[@http://www.alvotta.net|Alfredo Votta]] | [[@http://soundcloud.com/xenvotta/sets/votta-liber-stellarum-for/|Liber Stellarum]] by [[@http://www.alvotta.net|Alfredo Votta]] | ||
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<!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Animism"></a><!-- ws:end:WikiTextHeadingRule:9 -->Animism</h1> | <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Animism"></a><!-- ws:end:WikiTextHeadingRule:9 -->Animism</h1> | ||
<br /> | <br /> | ||
The animist comma, 105/104, appears whenever 3*5*7=13... | The animist comma, 105/104, appears whenever 3*5*7=13... 13edo does not approximate 3 and 7 individually (26edo does), but 13edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction<br /> | ||
<br /> | <br /> | ||
0 4 5 8 9 13 pentatonic<br /> | 0 4 5 8 9 13 pentatonic<br /> | ||