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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 = septimal superfifth, wide fifth, octave-reduced 21st subharmonic |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 21:14:04 UTC</tt>.<br>
| | | Color name = r5, ru 5th |
| : The original revision id was <tt>513277558</tt>.<br>
| | | Sound = jid_32_21_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">**32/21**
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| |5 -1 0 -1> | |
| 729.2191 cents
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| [[media type="file" key="jid_32_21_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_32_21_pluck_adu_dr220.mp3|sound sample]]
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| 32/21, the septimal super-fifth, is the interval between [[9_8|9/8]] and [[12_7|12/7]]. It is [[64_63|64/63]] sharp of [[3_2|3/2]], and so is equated to 3/2 in temperaments such as [[pajara]], [[superpyth]] or [[augene]] which temper 64/63 out.</pre></div> | | '''32/21''', the '''septimal superfifth''', is the interval between [[9/8]] and [[12/7]]. It is [[64/63]] sharp of [[3/2]], and so is equated to 3/2 in temperaments such as [[pajara]], [[superpyth]] or [[augene]] which tempers out 64/63. |
| <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>32_21</title></head><body><strong>32/21</strong><br />
| | In [[septimal meantone]], this interval is represented by the diminished sixth. |
| |5 -1 0 -1&gt;<br />
| | == Approximation == |
| 729.2191 cents<br />
| | {{Interval edo approximation|32/21}} |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_32_21_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_21_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_21_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_21_pluck_adu_dr220.mp3/513250226/jid_32_21_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_32_21_pluck_adu_dr220.mp3/513250226/jid_32_21_pluck_adu_dr220.mp3');">sound sample</a><br />
| | == See also == |
| <br />
| | * [[Gallery of just intervals]] |
| 32/21, the septimal super-fifth, is the interval between <a class="wiki_link" href="/9_8">9/8</a> and <a class="wiki_link" href="/12_7">12/7</a>. It is <a class="wiki_link" href="/64_63">64/63</a> sharp of <a class="wiki_link" href="/3_2">3/2</a>, and so is equated to 3/2 in temperaments such as <a class="wiki_link" href="/pajara">pajara</a>, <a class="wiki_link" href="/superpyth">superpyth</a> or <a class="wiki_link" href="/augene">augene</a> which temper 64/63 out.</body></html></pre></div> | | * [[21/16]], its [[inverse interval]] |
| | |
| | [[Category:Fifth]] |
| | [[Category:Superfifth]] |
32/21, the septimal superfifth, is the interval between 9/8 and 12/7. It is 64/63 sharp of 3/2, and so is equated to 3/2 in temperaments such as pajara, superpyth or augene which tempers out 64/63.
In septimal meantone, this interval is represented by the diminished sixth.
Approximation
Edo approximations for 32/21 (729.22 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 5 |
3\5 |
720.00 |
-9.22 |
-3.84
|
| 10 |
6\10 |
720.00 |
-9.22 |
-7.68
|
| 18 |
11\18 |
733.33 |
+4.11 |
+6.17
|
| 23 |
14\23 |
730.43 |
+1.22 |
+2.33
|
| 28 |
17\28 |
728.57 |
-0.65 |
-1.51
|
| 33 |
20\33 |
727.27 |
-1.95 |
-5.35
|
| 38 |
23\38 |
726.32 |
-2.90 |
-9.19
|
| 41 |
25\41 |
731.71 |
+2.49 |
+8.50
|
| 46 |
28\46 |
730.43 |
+1.22 |
+4.66
|
| 51 |
31\51 |
729.41 |
+0.19 |
+0.82
|
| 56 |
34\56 |
728.57 |
-0.65 |
-3.02
|
| 61 |
37\61 |
727.87 |
-1.35 |
-6.86
|
| 69 |
42\69 |
730.43 |
+1.22 |
+6.99
|
| 74 |
45\74 |
729.73 |
+0.51 |
+3.15
|
| 79 |
48\79 |
729.11 |
-0.11 |
-0.69
|
See also