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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 major second, undevicesimal submajor second, undevicesimal supraneutral second |
| : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-28 13:51:56 UTC</tt>.<br>
| | | Color name = 19uz2, nuzo 2nd |
| : The original revision id was <tt>602876398</tt>.<br>
| | | Sound = ji-21-19-csound-foscil-220hz.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>
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| <h4>Original Wikitext content:</h4>
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| <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">**21/19**
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| |0 1 0 1 0 0 0 -1>
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| 173.26789 cents
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| [[media type="file" key="ji-21-19-csound-foscil-220hz.mp3"]] [[file:xenharmonic/ji-21-19-csound-foscil-220hz.mp3|sound sample]] | | In [[19-limit]] [[just intonation]], '''21/19''' is the '''hendrix major second''', also known as the '''undevicesimal submajor second''' or '''undevicesimal supraneutral second''', named for falling short of the [[9/8|Pythagorean major second (9/8)]] by a [[57/56|hendrix comma (57/56)]]. In [[counterpyth]] systems, it is equated to the diminished third (the interval formed by two [[256/243|limmas (256/243)]]). It can also be considered to approximate the [[tetracot]] generator. |
| | == Approximation == |
| | {{Interval edo approximation|21/19}} |
| | == See also == |
| | * [[38/21]] – its [[octave complement]] |
| | * [[19/14]] – its [[fifth complement]] |
| | * [[Gallery of just intervals]] |
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| The **large neutral undevicesimal second**, its inverse is the minor neutral undevicesimal seventh [[38_21|38/21]].
| | [[Category:Second]] |
| | | [[Category:Neutral second]] |
| See also: [[Gallery of Just Intervals]]</pre></div>
| | [[Category:Equable heptatonic]] |
| <h4>Original HTML content:</h4>
| | [[Category:Tetracot]] |
| <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>21_19</title></head><body><strong>21/19</strong><br />
| | [[Category:Hendrix]] |
| |0 1 0 1 0 0 0 -1&gt;<br />
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| 173.26789 cents<br />
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| <br />
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| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/ji-21-19-csound-foscil-220hz.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;ji-21-19-csound-foscil-220hz.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%252Fji-21-19-csound-foscil-220hz.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/ji-21-19-csound-foscil-220hz.mp3/602875936/ji-21-19-csound-foscil-220hz.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/ji-21-19-csound-foscil-220hz.mp3/602875936/ji-21-19-csound-foscil-220hz.mp3');">sound sample</a><br />
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| <br />
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| The <strong>large neutral undevicesimal second</strong>, its inverse is the minor neutral undevicesimal seventh <a class="wiki_link" href="/38_21">38/21</a>.<br />
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| <br />
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| See also: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
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In 19-limit just intonation, 21/19 is the hendrix major second, also known as the undevicesimal submajor second or undevicesimal supraneutral second, named for falling short of the Pythagorean major second (9/8) by a hendrix comma (57/56). In counterpyth systems, it is equated to the diminished third (the interval formed by two limmas (256/243)). It can also be considered to approximate the tetracot generator.
Approximation
Edo approximations for 21/19 (173.27 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 7 |
1\7 |
171.43 |
-1.84 |
-1.07
|
| 14 |
2\14 |
171.43 |
-1.84 |
-2.15
|
| 21 |
3\21 |
171.43 |
-1.84 |
-3.22
|
| 28 |
4\28 |
171.43 |
-1.84 |
-4.29
|
| 34 |
5\34 |
176.47 |
+3.20 |
+9.07
|
| 35 |
5\35 |
171.43 |
-1.84 |
-5.36
|
| 41 |
6\41 |
175.61 |
+2.34 |
+8.00
|
| 42 |
6\42 |
171.43 |
-1.84 |
-6.44
|
| 48 |
7\48 |
175.00 |
+1.73 |
+6.93
|
| 49 |
7\49 |
171.43 |
-1.84 |
-7.51
|
| 55 |
8\55 |
174.55 |
+1.28 |
+5.86
|
| 56 |
8\56 |
171.43 |
-1.84 |
-8.58
|
| 62 |
9\62 |
174.19 |
+0.93 |
+4.78
|
| 63 |
9\63 |
171.43 |
-1.84 |
-9.66
|
| 69 |
10\69 |
173.91 |
+0.65 |
+3.71
|
| 76 |
11\76 |
173.68 |
+0.42 |
+2.64
|
See also