Hemifourths: Difference between revisions

Revision as of 03:37, 24 December 2008

IMPORTED REVISION FROM WIKISPACES

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This revision was by author xenjacob and made on 2008-12-24 03:37:02 UTC.

The original revision id was 51824275.

The revision comment was:

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Original Wikitext content:

The hemi-fourth interval (around 250 cents) when taken as a generator, and an octave is taken as the generator, a 9-note scale is possible:

LsLsLsLsL

It is an [[MOSScales|MOS scale]], of [[MOSNamingScheme|type]] "unfair bug", with SEVEN triads, subminor or supermajor. Holy holes.

**The family.**

A map of 3 levels of the scale tree between g=1/5 and 1/4
[[image:hemifourths.PNG]]

So, to the right of 2/9 lie "fair" 9-note scales, and to the left lie the "unfair" ones. The easy way to think about this: if the generator is closer to 5 in the denominator, then the 5 intervals will be bigger.

**Examples.**

voice-leading sketch in 24-EDO's flavor of hemifourths[9]
[[file:qt mode chord prog.mp3]]

**Music.**

[[http://www.soundclick.com/bands/songInfo.cfm?bandID=376205&songID=5327098|Entropy, the Grandfather of Wind]] in 14-EDO's flavor of hemifourths[9]

Original HTML content:

<html><head><title>hemifourths</title></head><body>The hemi-fourth interval (around 250 cents) when taken as a generator, and an octave is taken as the generator, a 9-note scale is possible:<br />
<br />
LsLsLsLsL<br />
<br />
It is an <a class="wiki_link" href="/MOSScales">MOS scale</a>, of <a class="wiki_link" href="/MOSNamingScheme">type</a> &quot;unfair bug&quot;, with SEVEN triads, subminor or supermajor. Holy holes.<br />
<br />
<strong>The family.</strong><br />
<br />
A map of 3 levels of the scale tree between g=1/5 and 1/4<br />
<!-- ws:start:WikiTextLocalImageRule:0:&lt;img src=&quot;/file/view/hemifourths.PNG/51824077/hemifourths.PNG&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/hemifourths.PNG/51824077/hemifourths.PNG" alt="hemifourths.PNG" title="hemifourths.PNG" /><!-- ws:end:WikiTextLocalImageRule:0 --><br />
<br />
So, to the right of 2/9 lie &quot;fair&quot; 9-note scales, and to the left lie the &quot;unfair&quot; ones. The easy way to think about this: if the generator is closer to 5 in the denominator, then the 5 intervals will be bigger.<br />
<br />
<strong>Examples.</strong><br />
<br />
voice-leading sketch in 24-EDO's flavor of hemifourths[9]<br />
<!-- ws:start:WikiTextFileRule:1:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/qt%20mode%20chord%20prog.mp3?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@qt mode chord prog.mp3&quot; title=&quot;File: qt mode chord prog.mp3&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3" onclick="ws.common.trackFileLink('/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3');"><img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="qt mode chord prog.mp3" /></a><div><a href="/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3" onclick="ws.common.trackFileLink('/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3');" class="filename" title="qt mode chord prog.mp3">qt mode chord prog.mp3</a><br /><ul><li><a href="/file/detail/qt%20mode%20chord%20prog.mp3">Details</a></li><li><a href="/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3">Download</a></li><li style="color: #666">2 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:1 --><br />
<br />
<strong>Music.</strong><br />
<br />
<a class="wiki_link_ext" href="http://www.soundclick.com/bands/songInfo.cfm?bandID=376205&amp;songID=5327098" rel="nofollow">Entropy, the Grandfather of Wind</a> in 14-EDO's flavor of hemifourths[9]</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>2007-09-17 06:50:50 UTC</tt>.<br>
+: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2008-12-24 03:37:02 UTC</tt>.<br>
-: The original revision id was <tt>8062309</tt>.<br>
+: The original revision id was <tt>51824275</tt>.<br>
-: The revision comment was: <tt>MOS type</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>
@@ Line 11: / Line 11: @@
 It is an [[MOSScales|MOS scale]], of [[MOSNamingScheme|type]] "unfair bug", with SEVEN triads, subminor or supermajor. Holy holes.
+**The family.**
+A map of 3 levels of the scale tree between g=1/5 and 1/4
+[[image:hemifourths.PNG]]
+So, to the right of 2/9 lie "fair" 9-note scales, and to the left lie the "unfair" ones. The easy way to think about this: if the generator is closer to 5 in the denominator, then the 5 intervals will be bigger.
 **Examples.**
@@ Line 26: / Line 33: @@
 &lt;br /&gt;
 It is an &lt;a class="wiki_link" href="/MOSScales"&gt;MOS scale&lt;/a&gt;, of &lt;a class="wiki_link" href="/MOSNamingScheme"&gt;type&lt;/a&gt; &amp;quot;unfair bug&amp;quot;, with SEVEN triads, subminor or supermajor. Holy holes.&lt;br /&gt;
+&lt;br /&gt;
+&lt;strong&gt;The family.&lt;/strong&gt;&lt;br /&gt;
+&lt;br /&gt;
+A map of 3 levels of the scale tree between g=1/5 and 1/4&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:0:&amp;lt;img src=&amp;quot;/file/view/hemifourths.PNG/51824077/hemifourths.PNG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/hemifourths.PNG/51824077/hemifourths.PNG" alt="hemifourths.PNG" title="hemifourths.PNG" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:0 --&gt;&lt;br /&gt;
+&lt;br /&gt;
+So, to the right of 2/9 lie &amp;quot;fair&amp;quot; 9-note scales, and to the left lie the &amp;quot;unfair&amp;quot; ones. The easy way to think about this: if the generator is closer to 5 in the denominator, then the 5 intervals will be bigger.&lt;br /&gt;
 &lt;br /&gt;
 &lt;strong&gt;Examples.&lt;/strong&gt;&lt;br /&gt;
 &lt;br /&gt;
 voice-leading sketch in 24-EDO's flavor of hemifourths[9]&lt;br /&gt;
-&lt;!-- ws:start:WikiTextFileRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/qt%20mode%20chord%20prog.mp3?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@qt mode chord prog.mp3&amp;quot; title=&amp;quot;File: qt mode chord prog.mp3&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3" onclick="ws.common.trackFileLink('/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="qt mode chord prog.mp3" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3" onclick="ws.common.trackFileLink('/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3');" class="filename" title="qt mode chord prog.mp3"&gt;qt mode chord prog.mp3&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/qt%20mode%20chord%20prog.mp3"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;2 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:0 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextFileRule:1:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/qt%20mode%20chord%20prog.mp3?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@qt mode chord prog.mp3&amp;quot; title=&amp;quot;File: qt mode chord prog.mp3&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3" onclick="ws.common.trackFileLink('/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="qt mode chord prog.mp3" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3" onclick="ws.common.trackFileLink('/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3');" class="filename" title="qt mode chord prog.mp3"&gt;qt mode chord prog.mp3&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/qt%20mode%20chord%20prog.mp3"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/qt%20mode%20chord%20prog.mp3/30686842/qt%20mode%20chord%20prog.mp3"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;2 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:1 --&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;strong&gt;Music.&lt;/strong&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://www.soundclick.com/bands/songInfo.cfm?bandID=376205&amp;amp;songID=5327098" rel="nofollow"&gt;Entropy, the Grandfather of Wind&lt;/a&gt; in 14-EDO's flavor of hemifourths[9]&lt;/body&gt;&lt;/html&gt;</pre></div>

Hemifourths: Difference between revisions

Revision as of 03:37, 24 December 2008

IMPORTED REVISION FROM WIKISPACES

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