125/72: Difference between revisions

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**Imported revision 513417162 - Original comment: **
 
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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 = classic(al) augmented sixth, triptolemaic augmented sixth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-09 22:25:39 UTC</tt>.<br>
| Color name = y<sup>3</sup>6, triyo 6th
: The original revision id was <tt>513417162</tt>.<br>
| Sound = jid_125_72_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>
'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955{{cent}}. It can be obtained by widening [[5/3]], the classic major sixth, by [[25/24]], the classic chroma. It is also the Pythagorean augmented sixth (59049/32768) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.
<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">**125/72**
|-3 -2 3&gt;
955.0311 cents
[[media type="file" key="jid_125_72_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_125_72_pluck_adu_dr220.mp3|sound sample]]


The classic ([[5-limit]]) augmented sixth.
In any [[kleismic]] system, it is tuned to an exact semitwelfth, tempered together with [[216/125]].
</pre></div>
 
<h4>Original HTML content:</h4>
== Approximation ==
<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;125_72&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;125/72&lt;/strong&gt;&lt;br /&gt;
This interval is especially close to the 39th step of [[49edo]].
|-3 -2 3&amp;gt;&lt;br /&gt;
 
955.0311 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_125_72_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_125_72_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_125_72_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_125_72_pluck_adu_dr220.mp3/513415358/jid_125_72_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_125_72_pluck_adu_dr220.mp3/513415358/jid_125_72_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
* [[144/125]] – its [[octave complement]]
&lt;br /&gt;
* [[Gallery of just intervals]]
The classic (&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;) augmented sixth.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
[[Category:Sixth]]
[[Category:Augmented sixth]]
[[Category:Interseptimal intervals]]
[[Category:Semitwelfth]]

Latest revision as of 15:04, 13 January 2026

Interval information
Ratio 125/72
Factorization 2-3 × 3-2 × 53
Monzo [-3 -2 3
Size in cents 955.0311¢
Names classic(al) augmented sixth,
triptolemaic augmented sixth
Color name y36, triyo 6th
FJS name [math]\displaystyle{ \text{A6}^{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 13.1357
Weil norm (log2 max(n, d)) 13.9316
Wilson norm (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

125/72, the classic augmented sixth is 5-limit just interval of about 955 ¢. It can be obtained by widening 5/3, the classic major sixth, by 25/24, the classic chroma. It is also the Pythagorean augmented sixth (59049/32768) flattened by three syntonic commas, which lends itself to the term triptolemaic.

In any kleismic system, it is tuned to an exact semitwelfth, tempered together with 216/125.

Approximation

This interval is especially close to the 39th step of 49edo.

See also