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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 = tridecimal major sixth, major minthmic major sixth |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:44:31 UTC</tt>.<br>
| | | Color name = 3u1o6, thulo 6th |
| : The original revision id was <tt>513546504</tt>.<br>
| | | Sound = jid_22_13_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>
| | '''22/13''', the '''tridecimal major sixth''' or '''major minthmic major sixth''', is a [[13-limit]] [[just intonation]] interval measuring about 910.8 [[cent]]s. It is the inverse of [[13/11]], the tridecimal minor third. It is sharp of the [[27/16|Pythagorean major sixth (27/16)]] by a [[352/351|major minthma (352/351)]]. |
| <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">**22/13**
| | |
| |1 0 0 0 1 -1>
| | == Approximation == |
| 910.7903 cents | | This interval is well approximated by [[17edo|13\17]] (917.647 cents), and even better, by [[29edo|22\29]] (910.345 cents). |
| [[media type="file" key="jid_22_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_22_13_pluck_adu_dr220.mp3|sound sample]] | | {{Interval edo approximation|22/13}} |
| </pre></div>
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| <h4>Original HTML content:</h4>
| | == See also == |
| <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>22_13</title></head><body><strong>22/13</strong><br />
| | * [[13/11]] – its [[octave complement]] |
| |1 0 0 0 1 -1&gt;<br /> | | * [[Gallery of just intervals]] |
| 910.7903 cents<br /> | | |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_22_13_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_22_13_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_22_13_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_22_13_pluck_adu_dr220.mp3/513545354/jid_22_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_22_13_pluck_adu_dr220.mp3/513545354/jid_22_13_pluck_adu_dr220.mp3');">sound sample</a></body></html></pre></div>
| | [[Category:Sixth]] |
| | [[Category:Major sixth]] |
| | [[Category:Major minthmic]] |
22/13, the tridecimal major sixth or major minthmic major sixth, is a 13-limit just intonation interval measuring about 910.8 cents. It is the inverse of 13/11, the tridecimal minor third. It is sharp of the Pythagorean major sixth (27/16) by a major minthma (352/351).
Approximation
This interval is well approximated by 13\17 (917.647 cents), and even better, by 22\29 (910.345 cents).
Edo approximations for 22/13 (910.79 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 4 |
3\4 |
900.00 |
-10.79 |
-3.60
|
| 8 |
6\8 |
900.00 |
-10.79 |
-7.19
|
| 17 |
13\17 |
917.65 |
+6.86 |
+9.71
|
| 21 |
16\21 |
914.29 |
+3.50 |
+6.12
|
| 25 |
19\25 |
912.00 |
+1.21 |
+2.52
|
| 29 |
22\29 |
910.34 |
-0.45 |
-1.08
|
| 33 |
25\33 |
909.09 |
-1.70 |
-4.67
|
| 37 |
28\37 |
908.11 |
-2.68 |
-8.27
|
| 46 |
35\46 |
913.04 |
+2.25 |
+8.64
|
| 50 |
38\50 |
912.00 |
+1.21 |
+5.04
|
| 54 |
41\54 |
911.11 |
+0.32 |
+1.44
|
| 58 |
44\58 |
910.34 |
-0.45 |
-2.15
|
| 62 |
47\62 |
909.68 |
-1.11 |
-5.75
|
| 66 |
50\66 |
909.09 |
-1.70 |
-9.35
|
| 75 |
57\75 |
912.00 |
+1.21 |
+7.56
|
| 79 |
60\79 |
911.39 |
+0.60 |
+3.96
|
See also