Hemifourths: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 207227288 - Original comment: **
Fredg999 category edits (talk | contribs)
m Disambiguation template
 
(8 intermediate revisions by 7 users not shown)
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
* For the temperament, see [[Diaschismic family #Hemifourths]].  
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
* For the MOS scale, see [[5L 4s]].  
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-04 02:19:56 UTC</tt>.<br>
: The original revision id was <tt>207227288</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">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
{{Disambiguation}}
 
It is an [[MOSScales|MOS scale]], of [[MOSNamingScheme|type]] "unfair bug", with SEVEN triads, subminor or supermajor. Holy holes. If the generator is around 249 cents, we might take this as representing as MOS in [[The Archipelago|barbados temperament]].
 
**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&amp;songID=5327098|Entropy, the Grandfather of Wind]] in 14-EDO's flavor of hemifourths[9]</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;hemifourths&lt;/title&gt;&lt;/head&gt;&lt;body&gt;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:&lt;br /&gt;
&lt;br /&gt;
LsLsLsLsL&lt;br /&gt;
&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. If the generator is around 249 cents, we might take this as representing as MOS in &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barbados temperament&lt;/a&gt;.&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: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>

Latest revision as of 04:22, 20 February 2023

This disambiguation page lists pages associated with the title Hemifourths.

If an internal link led you here, you may wish to change the link to point directly to the intended page.