40/27: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>spt3125
**Imported revision 513277474 - Original comment: **
Sintel (talk | contribs)
nicetone -> Zarlino for the just scale
 
(17 intermediate revisions by 8 users not shown)
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = wolf fifth, classic grave fifth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 21:13:21 UTC</tt>.<br>
| Color name = y5, yo 5th
: The original revision id was <tt>513277474</tt>.<br>
| Sound = jid_40_27_pluck_adu_dr220.mp3
: 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>
The '''classic grave fifth''' of '''40/27''' is the interval between [[9/8]] and [[5/3]]. It is a syntonic comma ([[81/80]]) flat of [[3/2]]. In some contexts it may be considered a "wolf fifth". In [[meantone]], of course, it is equated with a perfect fifth.
<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">**40/27**
|3 -3 1&gt;
680.4487 cents
[[media type="file" key="jid_40_27_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_40_27_pluck_adu_dr220.mp3|sound sample]]


The grave fifth of 40/27 is the interval between [[9_8|9/8]] and [[5_3|5/3]]. It is [[81_80|81/80]], a syntonic comma, flat of [[3_2|3/2]]. In some contexts it may be considered a wolf fifth. In [[meantone]], of course, it is equated with a perfect fifth.</pre></div>
Although often underappreciated and even avoided on account of its dissonant sound in comparison to the perfect fifth, it can nevertheless prove useful in the hands of the right composer.  Specifically, when used as an interval in its own right, or as the interval spanning the difference between the root and the fifth of a chord, its dark and active sound creates a kind of tension that, in classical-leaning or even medieval-leaning styles, can be arguably followed up either by a chord containing a [[64/45]] tritone for an increase in tension, or by a chord with a perfect fifth between the root and the fifth for a decrease in tension. Alternatively, a chord built around this grave fifth may be used in chord that acts as the final chord in an interrupted cadence with the effect of making such a cadence all the more powerful.
<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;40_27&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;40/27&lt;/strong&gt;&lt;br /&gt;
In [[Zarlino]], it appears as the fifth of the ii chord.
|3 -3 1&amp;gt;&lt;br /&gt;
 
680.4487 cents&lt;br /&gt;
== See also ==
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_40_27_pluck_adu_dr220.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;jid_40_27_pluck_adu_dr220.mp3&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;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_40_27_pluck_adu_dr220.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt; &lt;a href="http://xenharmonic.wikispaces.com/file/view/jid_40_27_pluck_adu_dr220.mp3/513250308/jid_40_27_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_40_27_pluck_adu_dr220.mp3/513250308/jid_40_27_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
* [[27/20]] – its [[octave complement]]
&lt;br /&gt;
* [[Gallery of just intervals]]
The grave fifth of 40/27 is the interval between &lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt; and &lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;. It is &lt;a class="wiki_link" href="/81_80"&gt;81/80&lt;/a&gt;, a syntonic comma, flat of &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;. In some contexts it may be considered a wolf fifth.  In &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt;, of course, it is equated with a perfect fifth.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
[[Category:Fifth]]

Latest revision as of 09:49, 16 April 2025

Interval information
Ratio 40/27
Factorization 23 × 3-3 × 5
Monzo [3 -3 1
Size in cents 680.4487¢
Names wolf fifth,
classic grave fifth
Color name y5, yo 5th
FJS name [math]\displaystyle{ \text{P5}^{5} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.0768
Weil height (log2 max(n, d)) 10.6439
Wilson height (sopfr(nd)) 20

[sound info]
Open this interval in xen-calc

The classic grave fifth of 40/27 is the interval between 9/8 and 5/3. It is a syntonic comma (81/80) flat of 3/2. In some contexts it may be considered a "wolf fifth". In meantone, of course, it is equated with a perfect fifth.

Although often underappreciated and even avoided on account of its dissonant sound in comparison to the perfect fifth, it can nevertheless prove useful in the hands of the right composer. Specifically, when used as an interval in its own right, or as the interval spanning the difference between the root and the fifth of a chord, its dark and active sound creates a kind of tension that, in classical-leaning or even medieval-leaning styles, can be arguably followed up either by a chord containing a 64/45 tritone for an increase in tension, or by a chord with a perfect fifth between the root and the fifth for a decrease in tension. Alternatively, a chord built around this grave fifth may be used in chord that acts as the final chord in an interrupted cadence with the effect of making such a cadence all the more powerful.

In Zarlino, it appears as the fifth of the ii chord.

See also