14/9: Difference between revisions

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**Imported revision 545216466 - Original comment: **
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"
 
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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 = subminor sixth, septimal minor sixth
: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-03-24 21:00:51 UTC</tt>.<br>
| Color name = z6, zo 6th
: The original revision id was <tt>545216466</tt>.<br>
| Sound = jid_14_9_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>
<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">[[image:glyph 14 9.png width="102" height="138" caption="JI Glyph for 14/9
"]]
**14/9**
|1 -2 0 1&gt;
764.91590 cents
[[media type="file" key="jid_14_9_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_14_9_pluck_adu_dr220.mp3|sound sample]]


The septimal minor sixth.</pre></div>
'''14/9''', the '''septimal (sub)minor sixth''' is an interval of 764.9159 [[cent]]s. This interval has an ambiguous character that it shares with its inversion [[9/7]], and which is distinct from the classical minor sixth [[8/5]].
<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;14_9&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextLocalImageRule:1:&amp;lt;img src=&amp;quot;/file/view/glyph%2014%209.png/545215732/102x138/glyph%2014%209.png&amp;quot; alt=&amp;quot;JI Glyph for 14/9&amp;quot; title=&amp;quot;JI Glyph for 14/9&amp;quot; style=&amp;quot;height: 138px; width: 102px;&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;img src="/file/view/glyph%2014%209.png/545215732/102x138/glyph%2014%209.png" alt="glyph 14 9.png" title="glyph 14 9.png" style="height: 138px; width: 102px;" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;JI Glyph for 14/9&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1 --&gt;&lt;br /&gt;
{{Interval edo approximation|14/9}}
&lt;strong&gt;14/9&lt;/strong&gt;&lt;br /&gt;
== See also ==
|1 -2 0 1&amp;gt;&lt;br /&gt;
* [[9/7]] – its [[octave complement]]
764.91590 cents&lt;br /&gt;
* [[27/14]] – its [[twelfth complement]]
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_14_9_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_14_9_pluck_adu_dr220.mp3&amp;amp;quot; width=&amp;amp;quot;240&amp;amp;quot; height=&amp;amp;quot;20&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_14_9_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_14_9_pluck_adu_dr220.mp3/513412812/jid_14_9_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_14_9_pluck_adu_dr220.mp3/513412812/jid_14_9_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
* [[11edo]] has a good approximation: 7\11
&lt;br /&gt;
* [[Gallery of just intervals]]
The septimal minor sixth.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
 
{{stub}}
[[Category:Sixth]]
[[Category:Minor sixth]]
[[Category:Subminor sixth]]

Latest revision as of 13:04, 3 November 2025

Interval information
Ratio 14/9
Factorization 2 × 3-2 × 7
Monzo [1 -2 0 1⟩
Size in cents 764.9159¢
Names subminor sixth,
septimal minor sixth
Color name z6, zo 6th
FJS name [math]\displaystyle{ \text{m6}^{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 6.97728
Weil norm (log2 max(n, d)) 7.61471
Wilson norm (sopfr(nd)) 15

[sound info]
Open this interval in xen-calc

14/9, the septimal (sub)minor sixth is an interval of 764.9159 cents. This interval has an ambiguous character that it shares with its inversion 9/7, and which is distinct from the classical minor sixth 8/5.

Approximation

Edo approximations for 14/9 (764.92 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
3 2\3 800.00 +35.08 +8.77
8 5\8 750.00 -14.92 -9.94
11 7\11 763.64 -1.28 -1.17
14 9\14 771.43 +6.51 +7.60
22 14\22 763.64 -1.28 -2.35
25 16\25 768.00 +3.08 +6.43
33 21\33 763.64 -1.28 -3.52
36 23\36 766.67 +1.75 +5.25
44 28\44 763.64 -1.28 -4.69
47 30\47 765.96 +1.04 +4.08
55 35\55 763.64 -1.28 -5.86
58 37\58 765.52 +0.60 +2.91
66 42\66 763.64 -1.28 -7.04
69 44\69 765.22 +0.30 +1.73
77 49\77 763.64 -1.28 -8.21
80 51\80 765.00 +0.08 +0.56

See also


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