27edt
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- This revision was by author hstraub and made on 2011-02-23 07:46:48 UTC.
- The original revision id was 204273600.
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Original Wikitext content:
<span style="display: block; display: none;"> ||~ Details || last edit by <span style="outline: medium none;">[[image:http://c1.wikicdn.com/i/user_none_sm.jpg width="16" height="16" caption="hstraub" link="http://www.wikispaces.com/user/view/hstraub"]]</span> <span style="outline: medium none;">[[http://www.wikispaces.com/user/view/hstraub|hstraub]]</span> [[page/diff/12edt/16763978|Feb 12, 2008 3:49 am]] - [[page/history/12edt|1 revision]] || [[image:http://c1.wikicdn.com/i/w/W_close.gif caption="hide details" link="12edt#"]] || ||~ Markierungen || [[12edt#|bearbeiten]] Speichern[[12edt#|Abbrechen]] || </span><span style="display: none;"> </span> <span style="cursor: pointer;">[[image:http://c1.wikicdn.com/i/edit.png width="128" height="37" caption="Diese Seite bearbeiten" link="page/edit/12edt"]]</span> =[[#Division of the tritave (3/1) into 12 equal parts]]Division of the tritave (3/1) into 27 equal parts= Dividing the interval of 3/1 into 27 equal parts gives a scale with a basic step of 70.44 cents, which is nearly identical to one step of one step of [[17edo]] (70.59 cents). Hence it has similar melodic and harmonic properties as 17edo, with the difference that 27 is not a prime number. 27 being the third power of 3, and the base interval being 3/1, 27edt is a tuning where the number 3 prevails. This property seems to predestine 27edt as base tuning for Klingon music (since the tradtional Klingon number system is also based on 3). See, e.g., [[http://launch.dir.groups.yahoo.com/group/tuning/message/86909]] and [[http://www.klingon.org/smboard/index.php?topic=1810.0]].
Original HTML content:
<html><head><title>27edt</title></head><body><span style="display: block; display: none;"><br />
<table class="wiki_table">
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<th>Details<br />
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<td>last edit by <span style="outline: medium none;"><!-- ws:start:WikiTextRemoteImageRule:20:<a href="http://www.wikispaces.com/user/view/hstraub" rel="nofollow"><img src="http://c1.wikicdn.com/i/user_none_sm.jpg" alt="hstraub" title="hstraub" style="height: 16px; width: 16px;" /></a> --><table class="captionBox"><tr><td class="captionedImage"><a href="http://www.wikispaces.com/user/view/hstraub" rel="nofollow"><img src="http://c1.wikicdn.com/i/user_none_sm.jpg" alt="hstraub" title="hstraub" style="height: 16px; width: 16px;" /></a></td></tr><tr><td class="imageCaption">hstraub</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:20 --></span> <span style="outline: medium none;"><a class="wiki_link_ext" href="http://www.wikispaces.com/user/view/hstraub" rel="nofollow">hstraub</a></span> <a class="wiki_link" href="http://page.wikispaces.com/-/diff/12edt/16763978">Feb 12, 2008 3:49 am</a> - [[page/history/12edt|1 revision]]<br />
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<td><!-- ws:start:WikiTextRemoteImageRule:21:<img src="http://c1.wikicdn.com/i/w/W_close.gif" alt="hide details" title="hide details" /> --><table class="captionBox"><tr><td class="captionedImage"><img src="http://c1.wikicdn.com/i/w/W_close.gif" alt="hide details" title="hide details" /></td></tr><tr><td class="imageCaption">hide details</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:21 --><br />
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<th>Markierungen<br />
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<td>[[12edt#|bearbeiten]]<br />
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Speichern[[12edt#|Abbrechen]]<br />
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</span><span style="display: none;"> </span><br />
<span style="cursor: pointer;"><!-- ws:start:WikiTextRemoteImageRule:22:<img src="http://c1.wikicdn.com/i/edit.png" alt="Diese Seite bearbeiten" title="Diese Seite bearbeiten" style="height: 37px; width: 128px;" /> --><table class="captionBox"><tr><td class="captionedImage"><img src="http://c1.wikicdn.com/i/edit.png" alt="Diese Seite bearbeiten" title="Diese Seite bearbeiten" style="height: 37px; width: 128px;" /></td></tr><tr><td class="imageCaption">Diese Seite bearbeiten</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:22 --></span><br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Division of the tritave (3/1) into 27 equal parts"></a><!-- ws:end:WikiTextHeadingRule:0 --><!-- ws:start:WikiTextAnchorRule:2:<img src="/i/anchor.gif" class="WikiAnchor" alt="Anchor" id="wikitext@@anchor@@Division of the tritave (3/1) into 12 equal parts" title="Anchor: Division of the tritave (3/1) into 12 equal parts"/> --><a name="Division of the tritave (3/1) into 12 equal parts"></a><!-- ws:end:WikiTextAnchorRule:2 -->Division of the tritave (3/1) into 27 equal parts</h1>
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Dividing the interval of 3/1 into 27 equal parts gives a scale with a basic step of 70.44 cents, which is nearly identical to one step of one step of <a class="wiki_link" href="/17edo">17edo</a> (70.59 cents). Hence it has similar melodic and harmonic properties as 17edo, with the difference that 27 is not a prime number.<br />
<br />
27 being the third power of 3, and the base interval being 3/1, 27edt is a tuning where the number 3 prevails. This property seems to predestine 27edt as base tuning for Klingon music (since the tradtional Klingon number system is also based on 3). See, e.g., <a class="wiki_link_ext" href="http://launch.dir.groups.yahoo.com/group/tuning/message/86909" rel="nofollow">http://launch.dir.groups.yahoo.com/group/tuning/message/86909</a> and <a class="wiki_link_ext" href="http://www.klingon.org/smboard/index.php?topic=1810.0" rel="nofollow">http://www.klingon.org/smboard/index.php?topic=1810.0</a>.</body></html>