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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 = small undevicesimal major third, Boethius' major third |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:53:13 UTC</tt>.<br>
| | | Color name = 19u3, inu 3rd |
| : The original revision id was <tt>513547214</tt>.<br>
| | | Sound = jid_24_19_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>
| | '''24/19''', the '''small undevicesimal major third''' or '''Boethius' major third''', is a [[19-limit]] interval that is very close to the major third of [[12edo]] (400 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the Pythagorean major third ([[81/64]]). |
| <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">**24/19**
| | == Approximation == |
| |3 1 0 0 0 0 0 -1>
| | 24/19 is very accurately approximated by [[89edo]] (30\89), although technically there is a slight difference, as that of 89edo is 0.0524 cents sharper. |
| 404.442 cents
| | {{Interval edo approximation|24/19}} |
| [[media type="file" key="jid_24_19_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_24_19_pluck_adu_dr220.mp3|sound sample]] | | |
| </pre></div>
| | == See also == |
| <h4>Original HTML content:</h4>
| | * [[19/12]] – its [[octave complement]] |
| <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>24_19</title></head><body><strong>24/19</strong><br />
| | * [[19/16]] – its [[fifth complement]] |
| |3 1 0 0 0 0 0 -1&gt;<br /> | | * [[19/15]] – the large undevicesimal major third |
| 404.442 cents<br />
| | * [[Gallery of just intervals]] |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_24_19_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_24_19_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_24_19_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_24_19_pluck_adu_dr220.mp3/513545414/jid_24_19_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_24_19_pluck_adu_dr220.mp3/513545414/jid_24_19_pluck_adu_dr220.mp3');">sound sample</a></body></html></pre></div>
| | |
| | [[Category:Third]] |
| | [[Category:Major third]] |
| | [[Category:Boethius]] |
| | [[Category:Todo:expand]] |
24/19, the small undevicesimal major third or Boethius' major third, is a 19-limit interval that is very close to the major third of 12edo (400 cents). It is an undevicesimal comma aka Boethius' comma (513/512) below the Pythagorean major third (81/64).
Approximation
24/19 is very accurately approximated by 89edo (30\89), although technically there is a slight difference, as that of 89edo is 0.0524 cents sharper.
Edo approximations for 24/19 (404.44 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 3 |
1\3 |
400.00 |
-4.44 |
-1.11
|
| 6 |
2\6 |
400.00 |
-4.44 |
-2.22
|
| 9 |
3\9 |
400.00 |
-4.44 |
-3.33
|
| 12 |
4\12 |
400.00 |
-4.44 |
-4.44
|
| 15 |
5\15 |
400.00 |
-4.44 |
-5.55
|
| 18 |
6\18 |
400.00 |
-4.44 |
-6.66
|
| 21 |
7\21 |
400.00 |
-4.44 |
-7.77
|
| 24 |
8\24 |
400.00 |
-4.44 |
-8.88
|
| 27 |
9\27 |
400.00 |
-4.44 |
-9.99
|
| 65 |
22\65 |
406.15 |
+1.71 |
+9.27
|
| 68 |
23\68 |
405.88 |
+1.44 |
+8.16
|
| 71 |
24\71 |
405.63 |
+1.19 |
+7.05
|
| 74 |
25\74 |
405.41 |
+0.96 |
+5.94
|
| 77 |
26\77 |
405.19 |
+0.75 |
+4.83
|
| 80 |
27\80 |
405.00 |
+0.56 |
+3.72
|
See also