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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 = ptolemismic fourth, 5edo-esque fourth |
| : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 07:13:22 UTC</tt>.<br>
| | | Color name = 1ogg4, logugu 4th |
| : The original revision id was <tt>602889760</tt>.<br>
| | | Sound = jid_33_25_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>
| | '''33/25''', the '''ptolemismic fourth''' or the '''5edo-esque fourth''', is an [[11-limit]] interval. It is flat of [[4/3]], the perfect fourth, by [[100/99]], the ptolemisma, hence the name. It is also sharp of [[21/16]], the subfourth, by [[176/175]], the valinorsma. Being [[11/8]] diminished by [[25/24]], it is technically a semidiminished fourth aka paraminor fourth. |
| <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">Ratio: **33/25**
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| Monzo: |0 1 -2 0 1>
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| Size: 480.645516 cents
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| [[media type="file" key="jid_33_25_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_33_25_pluck_adu_dr220.mp3|sound sample]] | |
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| Inverse: [[50_33|50/33]]</pre></div>
| | == Approximation == |
| <h4>Original HTML content:</h4>
| | Measuring about 480.6{{cent}}, 33/25 is very well approximated by [[5edo]] and its supersets. |
| <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>33_25</title></head><body>Ratio: <strong>33/25</strong><br />
| | {{Interval edo approximation|33/25}} |
| Monzo: |0 1 -2 0 1&gt;<br />
| | == See also == |
| Size: 480.645516 cents<br />
| | * [[50/33]] – its [[octave complement]] |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_33_25_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_33_25_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_33_25_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_33_25_pluck_adu_dr220.mp3/513545562/jid_33_25_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_33_25_pluck_adu_dr220.mp3/513545562/jid_33_25_pluck_adu_dr220.mp3');">sound sample</a><br />
| | * [[25/22]] – its [[fifth complement]] |
| <br />
| | * [[Gallery of just intervals]] |
| Inverse: <a class="wiki_link" href="/50_33">50/33</a></body></html></pre></div>
| | * [[:File:Ji-33-25-csound-foscil-220hz.mp3]] – another sound example |
| | |
| | [[Category:Fourth]] |
| | [[Category:Subfourth]] |
| | [[Category:Ptolemismic]] |
33/25, the ptolemismic fourth or the 5edo-esque fourth, is an 11-limit interval. It is flat of 4/3, the perfect fourth, by 100/99, the ptolemisma, hence the name. It is also sharp of 21/16, the subfourth, by 176/175, the valinorsma. Being 11/8 diminished by 25/24, it is technically a semidiminished fourth aka paraminor fourth.
Approximation
Measuring about 480.6 ¢, 33/25 is very well approximated by 5edo and its supersets.
Edo approximations for 33/25 (480.65 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 5 |
2\5 |
480.00 |
-0.65 |
-0.27
|
| 10 |
4\10 |
480.00 |
-0.65 |
-0.54
|
| 15 |
6\15 |
480.00 |
-0.65 |
-0.81
|
| 20 |
8\20 |
480.00 |
-0.65 |
-1.08
|
| 25 |
10\25 |
480.00 |
-0.65 |
-1.34
|
| 30 |
12\30 |
480.00 |
-0.65 |
-1.61
|
| 35 |
14\35 |
480.00 |
-0.65 |
-1.88
|
| 40 |
16\40 |
480.00 |
-0.65 |
-2.15
|
| 45 |
18\45 |
480.00 |
-0.65 |
-2.42
|
| 50 |
20\50 |
480.00 |
-0.65 |
-2.69
|
| 55 |
22\55 |
480.00 |
-0.65 |
-2.96
|
| 60 |
24\60 |
480.00 |
-0.65 |
-3.23
|
| 65 |
26\65 |
480.00 |
-0.65 |
-3.50
|
| 70 |
28\70 |
480.00 |
-0.65 |
-3.77
|
| 75 |
30\75 |
480.00 |
-0.65 |
-4.03
|
| 80 |
32\80 |
480.00 |
-0.65 |
-4.30
|
See also