135/128: Difference between revisions

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~~<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:xenwolf~~|~~xenwolf]] and made on <tt>2011-06-22 16:10:35 UTC</tt>.<br>~~

| Color name = Ly1, layo unison,<br>Layobi comma

~~: The original revision id was <tt>238245143</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">The interval **135/128** ([[monzo]]: |-7 3 1>), 92.179 [[cent]]s in size, is called //[[pelogic comma]]//.

~~----~~

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]].

~~see also~~ [[~~comma~~]]~~</pre></div>~~

~~<h4>Original HTML content:</h4>~~

== Temperaments ==

<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"><html><head><title>135_128</title></head><body>The interval ~~<strong>~~135/128~~</strong> (<a class="wiki_link" href="/monzo">monzo</a>: |-7 3 1&gt;)~~, 92.~~179 <a class="wiki_link" href="/~~cent~~">cent</a>~~s in size, is called ~~<em><~~a ~~class~~=~~"wiki_link" href~~="/~~pelogic%20comma">pelogic~~ comma~~<~~/a~~><~~/~~em>~~.~~<br />~~

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.

~~<br~~ /~~>~~

~~<hr />~~

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.

~~see~~ also ~~<a class~~=~~"wiki_link" href~~="/comma~~">comma</~~a~~><~~/~~body></html></pre></div>~~

== See also ==

* [[256/135]] – its [[octave complement]]

* [[Aluminium comma]] - the difference between a stack of 13 instances of this interval and [[2/1]]

* [[Gallery of just intervals]]

* [[Medium comma]]

* [[:File:Ji-135-128-csound-foscil-220hz.mp3]] – another sound example

[[Category:Semitone]]

[[Category:Chroma]]

[[Category:Mavila]]

[[Category:Meantone]]

[[Category:Commas named after musical traditions]]

@@ 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:xenwolf|xenwolf]] and made on <tt>2011-06-22 16:10:35 UTC</tt>.<br>
+| Color name = Ly1, layo unison,<br>Layobi comma
-: The original revision id was <tt>238245143</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">The interval **135/128** ([[monzo]]: |-7 3 1&gt;), 92.179 [[cent]]s in size, is called //[[pelogic comma]]//.
-----
+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]].
-see also [[comma]]</pre></div>
-<h4>Original HTML content:</h4>
+== Temperaments ==
-<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;The interval &lt;strong&gt;135/128&lt;/strong&gt; (&lt;a class="wiki_link" href="/monzo"&gt;monzo&lt;/a&gt;: |-7 3 1&amp;gt;), 92.179 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s in size, is called &lt;em&gt;&lt;a class="wiki_link" href="/pelogic%20comma"&gt;pelogic comma&lt;/a&gt;&lt;/em&gt;.&lt;br /&gt;
+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.
-&lt;br /&gt;
-&lt;hr /&gt;
+/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.
-see also &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+== See also ==
+* [[256/135]] – its [[octave complement]]
+* [[Aluminium comma]] - the difference between a stack of 13 instances of this interval and [[2/1]]
+* [[Gallery of just intervals]]
+* [[Medium comma]]
+* [[:File:Ji-135-128-csound-foscil-220hz.mp3]] – another sound example
+[[Category:Semitone]]
+[[Category:Chroma]]
+[[Category:Mavila]]
+[[Category:Meantone]]
+[[Category:Commas named after musical traditions]]