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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 = vicesimotertial major third |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 22:08:21 UTC</tt>.<br>
| | | Color name = 23o4, twetho 4th |
| : The original revision id was <tt>513548400</tt>.<br>
| | | Sound = jid_23_18_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>
| | '''23/18''', the '''vicesimoterial major third''', is a [[23-limit]] interval that is the [[mediant]] between [[9/7]] and [[14/11]], giving it a character that is somewhere between the gentle undecimal thirds and the more strident septimal supermajor ones. It is sharp of the [[81/64|Pythagorean major third]] by a vicesimoterial formal comma, [[736/729]]. |
| <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">**23/18**
| | |
| |-1 -2 0 0 0 0 0 0 1>
| | == Approximation == |
| 424.3643 cents
| | This interval is decently represented by 6 steps of [[17edo]], and near perfectly by 29 steps of [[82edo]]. If used as a generator, it creates [[squares]] temperament. |
| [[media type="file" key="jid_23_18_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_23_18_pluck_adu_dr220.mp3|sound sample]] | | {{Interval edo approximation}} |
| </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>23_18</title></head><body><strong>23/18</strong><br />
| | |
| |-1 -2 0 0 0 0 0 0 1&gt;<br />
| | * [[36/23]] – its [[octave complement]] |
| 424.3643 cents<br />
| | * [[27/23]] – its [[fifth complement]] |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_23_18_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_23_18_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_23_18_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_23_18_pluck_adu_dr220.mp3/513545392/jid_23_18_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_23_18_pluck_adu_dr220.mp3/513545392/jid_23_18_pluck_adu_dr220.mp3');">sound sample</a></body></html></pre></div>
| | * [[Gallery of just intervals]] |
| | |
| | [[Category:Third]] |
| | [[Category:Supermajor third]] |
23/18, the vicesimoterial major third, is a 23-limit interval that is the mediant between 9/7 and 14/11, giving it a character that is somewhere between the gentle undecimal thirds and the more strident septimal supermajor ones. It is sharp of the Pythagorean major third by a vicesimoterial formal comma, 736/729.
Approximation
This interval is decently represented by 6 steps of 17edo, and near perfectly by 29 steps of 82edo. If used as a generator, it creates squares temperament.
Edo approximations for 23/18 (424.36 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 3 |
1\3 |
400.00 |
-24.36 |
-6.09
|
| 14 |
5\14 |
428.57 |
+4.21 |
+4.91
|
| 17 |
6\17 |
423.53 |
-0.83 |
-1.18
|
| 20 |
7\20 |
420.00 |
-4.36 |
-7.27
|
| 28 |
10\28 |
428.57 |
+4.21 |
+9.82
|
| 31 |
11\31 |
425.81 |
+1.44 |
+3.73
|
| 34 |
12\34 |
423.53 |
-0.83 |
-2.37
|
| 37 |
13\37 |
421.62 |
-2.74 |
-8.46
|
| 45 |
16\45 |
426.67 |
+2.30 |
+8.63
|
| 48 |
17\48 |
425.00 |
+0.64 |
+2.54
|
| 51 |
18\51 |
423.53 |
-0.83 |
-3.55
|
| 54 |
19\54 |
422.22 |
-2.14 |
-9.64
|
| 62 |
22\62 |
425.81 |
+1.44 |
+7.45
|
| 65 |
23\65 |
424.62 |
+0.25 |
+1.36
|
| 68 |
24\68 |
423.53 |
-0.83 |
-4.73
|
| 79 |
28\79 |
425.32 |
+0.95 |
+6.27
|
See also