27edt: Difference between revisions

Revision as of 07:47, 23 February 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author hstraub and made on 2011-02-23 07:47:13 UTC.

The original revision id was 204273694.

The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

||~ 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"]][[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"]] ||
||~ Markierungen || [[12edt#|bearbeiten]]

Speichern[[12edt#|Abbrechen]] ||


=[[#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>

<table class="wiki_table">
    <tr>
        <th>Details<br />
</th>
        <td>last edit by <span style="outline: medium none;"><!-- ws:start:WikiTextRemoteImageRule:20:&lt;a href=&quot;http://www.wikispaces.com/user/view/hstraub&quot; rel=&quot;nofollow&quot;&gt;&lt;img src=&quot;http://c1.wikicdn.com/i/user_none_sm.jpg&quot; alt=&quot;hstraub&quot; title=&quot;hstraub&quot; style=&quot;height: 16px; width: 16px;&quot; /&gt;&lt;/a&gt; --><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 --><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 />
</td>
        <td><!-- ws:start:WikiTextRemoteImageRule:21:&lt;img src=&quot;http://c1.wikicdn.com/i/w/W_close.gif&quot; alt=&quot;hide details&quot; title=&quot;hide details&quot; /&gt; --><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 />
</td>
    </tr>
    <tr>
        <th>Markierungen<br />
</th>
        <td>[[12edt#|bearbeiten]]<br />
<br />
Speichern[[12edt#|Abbrechen]]<br />
</td>
    </tr>
</table>

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Division of the tritave (3/1) into 27 equal parts"></a><!-- ws:end:WikiTextHeadingRule:0 --><!-- ws:start:WikiTextAnchorRule:2:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@Division of the tritave (3/1) into 12 equal parts&quot; title=&quot;Anchor: Division of the tritave (3/1) into 12 equal parts&quot;/&gt; --><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>
 <br />
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>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-02-23 07:46:48 UTC</tt>.<br>
+: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-02-23 07:47:13 UTC</tt>.<br>
-: The original revision id was <tt>204273600</tt>.<br>
+: The original revision id was <tt>204273694</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">&lt;span style="display: block; display: none;"&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;white-space: pre-wrap ! important" class="old-revision-html">||~ Details || last edit by &lt;span style="outline: medium none;"&gt;[[image:http://c1.wikicdn.com/i/user_none_sm.jpg width="16" height="16" caption="hstraub" link="http://www.wikispaces.com/user/view/hstraub"]][[http://www.wikispaces.com/user/view/hstraub|hstraub]]&lt;/span&gt; [[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"]] ||
-||~ Details || last edit by &lt;span style="outline: medium none;"&gt;[[image:http://c1.wikicdn.com/i/user_none_sm.jpg width="16" height="16" caption="hstraub" link="http://www.wikispaces.com/user/view/hstraub"]]&lt;/span&gt; &lt;span style="outline: medium none;"&gt;[[http://www.wikispaces.com/user/view/hstraub|hstraub]]&lt;/span&gt; [[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]] ||
-&lt;/span&gt;&lt;span style="display: none;"&gt; &lt;/span&gt;
-&lt;span style="cursor: pointer;"&gt;[[image:http://c1.wikicdn.com/i/edit.png width="128" height="37" caption="Diese Seite bearbeiten" link="page/edit/12edt"]]&lt;/span&gt;
 =[[#Division of the tritave (3/1) into 12 equal parts]]Division of the tritave (3/1) into 27 equal parts=
@@ Line 19: / Line 18: @@
 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]].</pre></div>
 <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;27edt&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="display: block; display: none;"&gt;&lt;br /&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;27edt&lt;/title&gt;&lt;/head&gt;&lt;body&gt;
 &lt;table class="wiki_table"&gt;
@@ Line 26: / Line 24: @@
          &lt;th&gt;Details&lt;br /&gt;
 &lt;/th&gt;
-         &lt;td&gt;last edit by &lt;span style="outline: medium none;"&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:20:&amp;lt;a href=&amp;quot;http://www.wikispaces.com/user/view/hstraub&amp;quot; rel=&amp;quot;nofollow&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;http://c1.wikicdn.com/i/user_none_sm.jpg&amp;quot; alt=&amp;quot;hstraub&amp;quot; title=&amp;quot;hstraub&amp;quot; style=&amp;quot;height: 16px; width: 16px;&amp;quot; /&amp;gt;&amp;lt;/a&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;a href="http://www.wikispaces.com/user/view/hstraub" rel="nofollow"&gt;&lt;img src="http://c1.wikicdn.com/i/user_none_sm.jpg" alt="hstraub" title="hstraub" style="height: 16px; width: 16px;" /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;hstraub&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:20 --&gt;&lt;/span&gt; &lt;span style="outline: medium none;"&gt;&lt;a class="wiki_link_ext" href="http://www.wikispaces.com/user/view/hstraub" rel="nofollow"&gt;hstraub&lt;/a&gt;&lt;/span&gt; &lt;a class="wiki_link" href="http://page.wikispaces.com/-/diff/12edt/16763978"&gt;Feb 12, 2008 3:49 am&lt;/a&gt; - [[page/history/12edt|1 revision]]&lt;br /&gt;
+         &lt;td&gt;last edit by &lt;span style="outline: medium none;"&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:20:&amp;lt;a href=&amp;quot;http://www.wikispaces.com/user/view/hstraub&amp;quot; rel=&amp;quot;nofollow&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;http://c1.wikicdn.com/i/user_none_sm.jpg&amp;quot; alt=&amp;quot;hstraub&amp;quot; title=&amp;quot;hstraub&amp;quot; style=&amp;quot;height: 16px; width: 16px;&amp;quot; /&amp;gt;&amp;lt;/a&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;a href="http://www.wikispaces.com/user/view/hstraub" rel="nofollow"&gt;&lt;img src="http://c1.wikicdn.com/i/user_none_sm.jpg" alt="hstraub" title="hstraub" style="height: 16px; width: 16px;" /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;hstraub&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:20 --&gt;&lt;a class="wiki_link_ext" href="http://www.wikispaces.com/user/view/hstraub" rel="nofollow"&gt;hstraub&lt;/a&gt;&lt;/span&gt; &lt;a class="wiki_link" href="http://page.wikispaces.com/-/diff/12edt/16763978"&gt;Feb 12, 2008 3:49 am&lt;/a&gt; - [[page/history/12edt|1 revision]]&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:21:&amp;lt;img src=&amp;quot;http://c1.wikicdn.com/i/w/W_close.gif&amp;quot; alt=&amp;quot;hide details&amp;quot; title=&amp;quot;hide details&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;img src="http://c1.wikicdn.com/i/w/W_close.gif" alt="hide details" title="hide details" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;hide details&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:21 --&gt;&lt;br /&gt;
@@ Line 41: / Line 39: @@
 &lt;/table&gt;
-&lt;/span&gt;&lt;span style="display: none;"&gt; &lt;/span&gt;&lt;br /&gt;
+&lt;br /&gt;
-&lt;span style="cursor: pointer;"&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:22:&amp;lt;img src=&amp;quot;http://c1.wikicdn.com/i/edit.png&amp;quot; alt=&amp;quot;Diese Seite bearbeiten&amp;quot; title=&amp;quot;Diese Seite bearbeiten&amp;quot; style=&amp;quot;height: 37px; width: 128px;&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;img src="http://c1.wikicdn.com/i/edit.png" alt="Diese Seite bearbeiten" title="Diese Seite bearbeiten" style="height: 37px; width: 128px;" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;Diese Seite bearbeiten&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:22 --&gt;&lt;/span&gt;&lt;br /&gt;
+&lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Division of the tritave (3/1) into 27 equal parts"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:2:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Division of the tritave (3/1) into 12 equal parts&amp;quot; title=&amp;quot;Anchor: Division of the tritave (3/1) into 12 equal parts&amp;quot;/&amp;gt; --&gt;&lt;a name="Division of the tritave (3/1) into 12 equal parts"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:2 --&gt;Division of the tritave (3/1) into 27 equal parts&lt;/h1&gt;
   &lt;br /&gt;

27edt: Difference between revisions

Revision as of 07:47, 23 February 2011

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search