16/15

Revision as of 23:26, 7 June 2014 by Wikispaces>spt3125 (**Imported revision 513215482 - Original comment: **)

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This revision was by author spt3125 and made on 2014-06-07 23:26:38 UTC.
The original revision id was 513215482.
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Original Wikitext content:

**16/15**
|4 -1 -1>
111.73129 cents
[[media type="file" key="jid_16_15_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_16_15_pluck_adu_dr220.mp3|sound sample]]

The 5-limit just diatonic semitone is the [[superparticular]] interval 16/15 -- the difference between the major third [[5_4|5/4]] and the fourth [[4_3|4/3]], and between [[3_2|3/2]] and [[8_5|8/5]].

When this ratio is taken as a comma to be tempered, it produces [[father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.

Original HTML content:

<html><head><title>16_15</title></head><body><strong>16/15</strong><br />
|4 -1 -1&gt;<br />
111.73129 cents<br />
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_16_15_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_16_15_pluck_adu_dr220.mp3&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_16_15_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_16_15_pluck_adu_dr220.mp3/513215462/jid_16_15_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_16_15_pluck_adu_dr220.mp3/513215462/jid_16_15_pluck_adu_dr220.mp3');">sound sample</a><br />
<br />
The 5-limit just diatonic semitone is the <a class="wiki_link" href="/superparticular">superparticular</a> interval 16/15 -- the difference between the major third <a class="wiki_link" href="/5_4">5/4</a> and the fourth <a class="wiki_link" href="/4_3">4/3</a>, and between <a class="wiki_link" href="/3_2">3/2</a> and <a class="wiki_link" href="/8_5">8/5</a>.<br />
<br />
When this ratio is taken as a comma to be tempered, it produces <a class="wiki_link" href="/father">father</a> temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.</body></html>