16/13
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Andrew_Heathwaite and made on 2011-10-07 22:11:23 UTC.
- The original revision id was 262758836.
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Original Wikitext content:
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]]. See: [[Gallery of Just Intervals]]
Original HTML content:
<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 /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>