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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 = utonal major sixth, octave-reduced 19th subharmonic |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:55:30 UTC</tt>.<br>
| | | Color name = 19u6, inu 6th |
| : The original revision id was <tt>513547356</tt>.<br>
| | | Sound = jid_32_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>
| | '''32/19''' is a [[19-limit]] interval, 902.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16|Pythagorean major sixth]]. |
| <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">**32/19**
| | == Approximation == |
| |5 0 0 0 0 0 0 -1>
| | 32/19 is very accurately approximated by [[121edo]] (91\121). |
| 902.487 cents | | {{Interval edo approximation|32/19}} |
| [[media type="file" key="jid_32_19_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_32_19_pluck_adu_dr220.mp3|sound sample]] | | |
| </pre></div>
| | == See also == |
| <h4>Original HTML content:</h4>
| | * [[19/16]] – 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>32_19</title></head><body><strong>32/19</strong><br />
| | * [[Gallery of just intervals]] |
| |5 0 0 0 0 0 0 -1&gt;<br /> | | |
| 902.487 cents<br />
| | [[Category:Sixth]] |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_32_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_32_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_32_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_32_19_pluck_adu_dr220.mp3/513545552/jid_32_19_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_32_19_pluck_adu_dr220.mp3/513545552/jid_32_19_pluck_adu_dr220.mp3');">sound sample</a></body></html></pre></div>
| | [[Category:Major sixth]] |
| | [[Category:Boethius]] |
32/19 is a 19-limit interval, 902.5 cents in size, the utonal major sixth or octave-reduced 19th subharmonic, which is extremely close to the major sixth of 12edo (900 cents). It is an undevicesimal comma aka Boethius' comma (513/512) below the Pythagorean major sixth.
Approximation
32/19 is very accurately approximated by 121edo (91\121).
Edo approximations for 32/19 (902.49 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 4 |
3\4 |
900.00 |
-2.49 |
-0.83
|
| 8 |
6\8 |
900.00 |
-2.49 |
-1.66
|
| 12 |
9\12 |
900.00 |
-2.49 |
-2.49
|
| 16 |
12\16 |
900.00 |
-2.49 |
-3.32
|
| 20 |
15\20 |
900.00 |
-2.49 |
-4.14
|
| 24 |
18\24 |
900.00 |
-2.49 |
-4.97
|
| 28 |
21\28 |
900.00 |
-2.49 |
-5.80
|
| 32 |
24\32 |
900.00 |
-2.49 |
-6.63
|
| 36 |
27\36 |
900.00 |
-2.49 |
-7.46
|
| 40 |
30\40 |
900.00 |
-2.49 |
-8.29
|
| 44 |
33\44 |
900.00 |
-2.49 |
-9.12
|
| 48 |
36\48 |
900.00 |
-2.49 |
-9.95
|
| 73 |
55\73 |
904.11 |
+1.62 |
+9.87
|
| 77 |
58\77 |
903.90 |
+1.41 |
+9.04
|
See also