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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 = hendrix fourth |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:52:04 UTC</tt>.<br>
| | | Color name = 19or4, noru 4th |
| : The original revision id was <tt>513547108</tt>.<br>
| | | Sound = jid_19_14_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>
| | '''19/14''', the '''hendrix fourth''', is [[19-limit]] interval that is a [[57/56|hendrix comma (57/56)]] sharp of the [[4/3|just perfect fourth (4/3)]]. It an octave higher, [[19/7]], is a convergent in the continued fraction to Euler's number. |
| <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">**19/14**
| | == Approximation == |
| |-1 0 0 -1 0 0 0 1>
| | {{Interval edo approximation|19/14}} |
| 528.6871 cents
| | == See also == |
| [[media type="file" key="jid_19_14_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_19_14_pluck_adu_dr220.mp3|sound sample]] | | * [[28/19]] – its [[octave complement]] |
| </pre></div>
| | * [[19/17]] – one octave higher |
| <h4>Original HTML content:</h4>
| | * [[57/56]], the hendrix comma |
| <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>19_14</title></head><body><strong>19/14</strong><br />
| | |
| |-1 0 0 -1 0 0 0 1&gt;<br />
| | |
| 528.6871 cents<br />
| | {{stub}} |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_19_14_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_19_14_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_19_14_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_19_14_pluck_adu_dr220.mp3/513545282/jid_19_14_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_19_14_pluck_adu_dr220.mp3/513545282/jid_19_14_pluck_adu_dr220.mp3');">sound sample</a></body></html></pre></div>
| | [[Category:Fourth]] |
| | [[Category:Superfourth]] |
| | [[Category:Hendrix]] |
19/14, the hendrix fourth, is 19-limit interval that is a hendrix comma (57/56) sharp of the just perfect fourth (4/3). It an octave higher, 19/7, is a convergent in the continued fraction to Euler's number.
Approximation
Edo approximations for 19/14 (528.69 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 7 |
3\7 |
514.29 |
-14.40 |
-8.40
|
| 9 |
4\9 |
533.33 |
+4.65 |
+3.48
|
| 16 |
7\16 |
525.00 |
-3.69 |
-4.92
|
| 18 |
8\18 |
533.33 |
+4.65 |
+6.97
|
| 25 |
11\25 |
528.00 |
-0.69 |
-1.43
|
| 32 |
14\32 |
525.00 |
-3.69 |
-9.83
|
| 34 |
15\34 |
529.41 |
+0.72 |
+2.05
|
| 41 |
18\41 |
526.83 |
-1.86 |
-6.35
|
| 43 |
19\43 |
530.23 |
+1.55 |
+5.54
|
| 50 |
22\50 |
528.00 |
-0.69 |
-2.86
|
| 52 |
23\52 |
530.77 |
+2.08 |
+9.02
|
| 59 |
26\59 |
528.81 |
+0.13 |
+0.62
|
| 66 |
29\66 |
527.27 |
-1.41 |
-7.78
|
| 68 |
30\68 |
529.41 |
+0.72 |
+4.11
|
| 75 |
33\75 |
528.00 |
-0.69 |
-4.29
|
| 77 |
34\77 |
529.87 |
+1.18 |
+7.59
|
See also
