135/128: Difference between revisions

Wikispaces>spt3125
**Imported revision 515317520 - Original comment: **
BudjarnLambeth (talk | contribs)
m Change/remove expand/stub in accordance with XW:IntTodo
 
(28 intermediate revisions by 13 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 = ptolemaic chromatic semitone, major limma, major chroma, mavila comma
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-30 21:01:39 UTC</tt>.<br>
| Color name = Ly1, layo unison,<br>Layobi comma
: The original revision id was <tt>515317520</tt>.<br>
| Sound = jid_135_128_pluck_adu_dr220.mp3
: The revision comment was: <tt></tt><br>
| Comma = yes
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">**135/128**
|-7 3 1&gt;
92.1787 cents
[[media type="file" key="jid_135_128_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_135_128_pluck_adu_dr220.mp3|sound sample]]


The 5-limit interval 135/128, about 92.2 [[cent]]s in size, is called the //[[pelogic comma]]//, //[[major limma]]// or //[[major chroma]]//.
The [[5-limit]] interval '''135/128''', about 92.2 [[cent]]s in size, is called the '''ptolemaic chromatic semitone''', the '''major limma''' or the '''major chroma'''. It is a [[syntonic comma]] away from the Pythagorean chromatic semitone [[2187/2048]], and so is tuned justly in [[1/7-comma meantone]]. Flattening by another syntonic comma reaches the even simpler [[25/24]].  In regular 5-limit diatonic systems, it is the chromatic semitone that compliments [[16/15]], as the two semitones add up to [[9/8]].


As a [[comma]] it represents the difference between three [[4_3|perfect fourths]] and a [[5_4|just major third]] (plus an [[octave]]).
== Temperaments ==
If 135/128 is treated as a comma to be [[tempering out|tempered out]], it may be called the '''mavila comma'''. It represents the difference between three [[4/3|perfect fourth]]s and a [[5/4|just major third]] (plus an [[octave]]). Tempering it out results in the [[mavila]] temperament.


See: [[Gallery of Just Intervals]]</pre></div>
135/128 is very close to one step of [[13edo]], in fact being a {{w|Continued fraction|semiconvergent}}. [[Aluminium]] temperament realizes this through a regular temperament lens.
<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;135_128&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;135/128&lt;/strong&gt;&lt;br /&gt;
== See also ==
|-7 3 1&amp;gt;&lt;br /&gt;
* [[256/135]] – its [[octave complement]]
92.1787 cents&lt;br /&gt;
* [[Aluminium comma]] - the difference between a stack of 13 instances of this interval and [[2/1]]
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_135_128_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_135_128_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_135_128_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_135_128_pluck_adu_dr220.mp3/515315540/jid_135_128_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_135_128_pluck_adu_dr220.mp3/515315540/jid_135_128_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;br /&gt;
* [[Medium comma]]
The 5-limit interval 135/128, about 92.2 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s in size, is called the &lt;em&gt;&lt;a class="wiki_link" href="/pelogic%20comma"&gt;pelogic comma&lt;/a&gt;&lt;/em&gt;, &lt;em&gt;&lt;a class="wiki_link" href="/major%20limma"&gt;major limma&lt;/a&gt;&lt;/em&gt; or &lt;em&gt;&lt;a class="wiki_link" href="/major%20chroma"&gt;major chroma&lt;/a&gt;&lt;/em&gt;.&lt;br /&gt;
* [[:File:Ji-135-128-csound-foscil-220hz.mp3]] – another sound example
&lt;br /&gt;
 
As a &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt; it represents the difference between three &lt;a class="wiki_link" href="/4_3"&gt;perfect fourths&lt;/a&gt; and a &lt;a class="wiki_link" href="/5_4"&gt;just major third&lt;/a&gt; (plus an &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt;).&lt;br /&gt;
[[Category:Semitone]]
&lt;br /&gt;
[[Category:Chroma]]
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Mavila]]
[[Category:Meantone]]
[[Category:Commas named after musical traditions]]