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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 = (greater) tridecimal neutral third, octave-reduced 13th subharmonic |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-07 22:11:23 UTC</tt>.<br>
| | | Color name = 3u3, thu 3rd |
| : The original revision id was <tt>262758836</tt>.<br>
| | | Sound = jid_16_13_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">In [[13-limit]] [[Just Intonation]], 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It's the inversion of [[13_8|13/8]], the 13th harmonic. It differs from [[5_4|5/4]] by [[65_64|65/64]], about 26.8¢. It differs from the undecimal neutral third [[11_9|11/9]] by [[144_143|144/143]], about 12¢. A [[List of root-3rd-P5 triads in JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39_32|39/32]], which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[OverToneSeries|harmonic series]].
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| See: [[Gallery of Just Intervals]]</pre></div>
| | In [[13-limit]] [[just intonation]], '''16/13''', the '''(greater) tridecimal neutral third''', is a 13-limit-based interval measuring about 359.5¢. It is the inversion of [[13/8]], the 13th harmonic. |
| <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>16_13</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It's the inversion of <a class="wiki_link" href="/13_8">13/8</a>, the 13th harmonic. It differs from <a class="wiki_link" href="/5_4">5/4</a> by <a class="wiki_link" href="/65_64">65/64</a>, about 26.8¢. It differs from the undecimal neutral third <a class="wiki_link" href="/11_9">11/9</a> by <a class="wiki_link" href="/144_143">144/143</a>, about 12¢. A <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">root-3rd-P5 triad</a> featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, <a class="wiki_link" href="/39_32">39/32</a>, which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>.<br />
| | 16/13 differs from the Pythagorean major third [[81/64]] by [[1053/1024]], about 48¢, from the classic major third [[5/4]] by [[65/64]], about 27¢, from the undecimal neutral third [[11/9]] by [[144/143]], about 12¢, and from the rastmic neutral third [[27/22]] by [[352/351]], about 4.9¢. A [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39/32]], which measures about 342.5¢. The interval between these two intervals is [[512/507]], about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th harmonic of the [[harmonic series]]. |
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| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | | 16/13 is a fraction of a cent away from the neutral third found in the 10''n'' family of edos. |
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| | 16/13 is near the border-region between neutral thirds and submajor thirds, so it has a bright edge to it compared to narrower neutral thirds, while still sounding slightly darker than a major third like [[5/4]]. |
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| | == See also == |
| | * [[13/8]] – its [[octave complement]] |
| | * [[39/32]] – its [[fifth complement]] |
| | * [[Gallery of Just Intervals]] |
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| | [[Category:Third]] |
| | [[Category:Neutral third]] |