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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 = tridecimal submajor seventh |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-09 21:39:12 UTC</tt>.<br>
| | | Color name = 3or7, thoru 7th |
| : The original revision id was <tt>513413010</tt>.<br>
| | | Sound = jid_13_7_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">**13/7**
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| |0 0 0 -1 0 1> | |
| 1071.7018 cents
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| [[media type="file" key="jid_13_7_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_13_7_pluck_adu_dr220.mp3|sound sample]]
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| The ratio between the 7th and 13th harmonics; a somewhat flat major seventh.</pre></div>
| | '''13/7''', the '''tridecimal submajor seventh''', is the ratio between the 7th and 13th [[harmonic]]s; a somewhat flat major seventh. |
| <h4>Original HTML content:</h4>
| | == Approximation == |
| <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>13_7</title></head><body><strong>13/7</strong><br />
| | {{Interval edo approximation|13/7}} |
| |0 0 0 -1 0 1&gt;<br />
| | |
| 1071.7018 cents<br />
| | == See also == |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_13_7_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_13_7_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_13_7_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_13_7_pluck_adu_dr220.mp3/513412806/jid_13_7_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_13_7_pluck_adu_dr220.mp3/513412806/jid_13_7_pluck_adu_dr220.mp3');">sound sample</a><br />
| | * [[14/13]] – its [[octave complement]] |
| <br />
| | * [[Gallery of just intervals]] |
| The ratio between the 7th and 13th harmonics; a somewhat flat major seventh.</body></html></pre></div>
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| | {{stub}} |
| | [[Category:Seventh]] |
| | [[Category:Submajor seventh]] |
| | [[Category:Neutral seventh]] |
| | [[Category:Over-7 intervals]] |
| | [[Category:Taxicab-2 intervals]] |
| | |
| | {{Todo| improve synopsis }} |
13/7, the tridecimal submajor seventh, is the ratio between the 7th and 13th harmonics; a somewhat flat major seventh.
Approximation
Edo approximations for 13/7 (1071.70 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 9 |
8\9 |
1066.67 |
-5.04 |
-3.78
|
| 10 |
9\10 |
1080.00 |
+8.30 |
+6.92
|
| 18 |
16\18 |
1066.67 |
-5.04 |
-7.55
|
| 19 |
17\19 |
1073.68 |
+1.98 |
+3.14
|
| 28 |
25\28 |
1071.43 |
-0.27 |
-0.64
|
| 37 |
33\37 |
1070.27 |
-1.43 |
-4.41
|
| 38 |
34\38 |
1073.68 |
+1.98 |
+6.28
|
| 46 |
41\46 |
1069.57 |
-2.14 |
-8.19
|
| 47 |
42\47 |
1072.34 |
+0.64 |
+2.50
|
| 56 |
50\56 |
1071.43 |
-0.27 |
-1.27
|
| 57 |
51\57 |
1073.68 |
+1.98 |
+9.42
|
| 65 |
58\65 |
1070.77 |
-0.93 |
-5.05
|
| 66 |
59\66 |
1072.73 |
+1.03 |
+5.64
|
| 74 |
66\74 |
1070.27 |
-1.43 |
-8.83
|
| 75 |
67\75 |
1072.00 |
+0.30 |
+1.86
|
See also
