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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 = septendecimal supraminor third |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 15:22:12 UTC</tt>.<br>
| | | Color name = 17or3, soru 3rd |
| : The original revision id was <tt>513254690</tt>.<br>
| | | Sound = jid_17_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>
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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">**17/14**
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| |-1 0 0 -1 0 0 1> | |
| 336.1295 cents
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| [[media type="file" key="jid_17_14_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_17_14_pluck_adu_dr220.mp3|sound sample]]
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| In [[17-limit]] [[Just Intonation]], 17/14 is the "septendecimal supraminor third," measuring about 336.1¢. It is the [[mediant]] between [[6_5|6/5]] and [[11_9|11/9]], as it is (6+11)/(5+9). A 14:17:21 [[List of root-3rd-P5 triads in JI|root-3rd-P5]] triad can be built with 17/14 as the bottom third and [[21_17|21/17]] as the top third. This may thus represent a septendecimal "shading" of a minor triad. | | In [[17-limit]] [[just intonation]], '''17/14''' is the '''septendecimal supraminor third''' measuring about 336.1¢. It is the [[mediant]] between [[6/5]] and [[11/9]], as it is (6+11)/(5+9). A 14:17:21 [[List of root-3rd-P5 triads in_JI|root-3rd-P5]] triad can be built with 17/14 as the bottom third and [[21/17]] as the top third. This may thus represent a septendecimal "shading" of a minor triad. |
| | == Approximation == |
| | {{Interval edo approximation|17/14}} |
| | == See also == |
| | * [[28/17]] – its [[octave complement]] |
| | * [[21/17]] – its [[fifth complement]] |
| | * [[Gallery of just intervals]] |
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| See: [[Gallery of Just Intervals]]</pre></div>
| | [[Category:Third]] |
| <h4>Original HTML content:</h4>
| | [[Category:Supraminor third]] |
| <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>17_14</title></head><body><strong>17/14</strong><br />
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| |-1 0 0 -1 0 0 1&gt;<br />
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| 336.1295 cents<br />
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| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_17_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_17_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_17_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_17_14_pluck_adu_dr220.mp3/513249990/jid_17_14_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_14_pluck_adu_dr220.mp3/513249990/jid_17_14_pluck_adu_dr220.mp3');">sound sample</a><br />
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| In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 17/14 is the &quot;septendecimal supraminor third,&quot; measuring about 336.1¢. It is the <a class="wiki_link" href="/mediant">mediant</a> between <a class="wiki_link" href="/6_5">6/5</a> and <a class="wiki_link" href="/11_9">11/9</a>, as it is (6+11)/(5+9). A 14:17:21 <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">root-3rd-P5</a> triad can be built with 17/14 as the bottom third and <a class="wiki_link" href="/21_17">21/17</a> as the top third. This may thus represent a septendecimal &quot;shading&quot; of a minor triad.<br />
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| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
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In 17-limit just intonation, 17/14 is the septendecimal supraminor third measuring about 336.1¢. It is the mediant between 6/5 and 11/9, as it is (6+11)/(5+9). A 14:17:21 root-3rd-P5 triad can be built with 17/14 as the bottom third and 21/17 as the top third. This may thus represent a septendecimal "shading" of a minor triad.
Approximation
Edo approximations for 17/14 (336.13 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 7 |
2\7 |
342.86 |
+6.73 |
+3.92
|
| 11 |
3\11 |
327.27 |
-8.86 |
-8.12
|
| 14 |
4\14 |
342.86 |
+6.73 |
+7.85
|
| 18 |
5\18 |
333.33 |
-2.80 |
-4.19
|
| 25 |
7\25 |
336.00 |
-0.13 |
-0.27
|
| 32 |
9\32 |
337.50 |
+1.37 |
+3.65
|
| 36 |
10\36 |
333.33 |
-2.80 |
-8.39
|
| 39 |
11\39 |
338.46 |
+2.33 |
+7.58
|
| 43 |
12\43 |
334.88 |
-1.25 |
-4.46
|
| 50 |
14\50 |
336.00 |
-0.13 |
-0.54
|
| 57 |
16\57 |
336.84 |
+0.71 |
+3.38
|
| 61 |
17\61 |
334.43 |
-1.70 |
-8.66
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| 64 |
18\64 |
337.50 |
+1.37 |
+7.31
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| 68 |
19\68 |
335.29 |
-0.84 |
-4.73
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| 75 |
21\75 |
336.00 |
-0.13 |
-0.81
|
See also