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