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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 = tricesimoprimal ultramajor seventh, tricesimoprimal semidiminished octave, octave-reduced 31st harmonic |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 22:09:46 UTC</tt>.<br>
| | | Color name = 31o7, thiwo 7th |
| : The original revision id was <tt>513548534</tt>.<br>
| | | Sound = jid_31_16_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">**31/16**
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| 1145.0356 cents
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| [[media type="file" key="jid_31_16_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_31_16_pluck_adu_dr220.mp3|sound sample]]
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| The 31st harmonic, octave-reduced.</pre></div>
| | In [[31-limit]] [[just intonation]], '''31/16''' is either the '''tricesimoprimal ultramajor seventh''' or '''tricesimoprimal semidiminished octave''', which is also the [[octave reduction|octave-reduced]] [[31/1|31st]] [[harmonic]]. It is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[248/243]], and flat of the octave by [[32/31]]. |
| <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>31_16</title></head><body><strong>31/16</strong><br />
| | == Approximation == |
| |-4 0 0 0 0 0 0 0 0 0 1&gt;<br /> | | 31/16 is very well approximated by [[22edo]], with 21\22 being 0.4 [[Cent|¢]] sharp of 31/16. |
| 1145.0356 cents<br />
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| | == See also == |
| <br />
| | * [[32/31]] – its [[octave complement]] |
| The 31st harmonic, octave-reduced.</body></html></pre></div>
| | * [[48/31]] – its [[twelfth complement]] |
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| | [[Category:Seventh]] |
| | [[Category:Supermajor seventh]] |
| | [[Category:Octave]] |
| | [[Category:Suboctave]] |
In 31-limit just intonation, 31/16 is either the tricesimoprimal ultramajor seventh or tricesimoprimal semidiminished octave, which is also the octave-reduced 31st harmonic. It is sharp of the Pythagorean major seventh (243/128) by 248/243, and flat of the octave by 32/31.
Approximation
31/16 is very well approximated by 22edo, with 21\22 being 0.4 ¢ sharp of 31/16.
See also