16/13

16/13 |4 0 0 0 0 -1>

359.47234 cents

File:Jid 16 13 pluck adu dr220.mp3 sound sample

In 13-limit Just Intonation, 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of 13/8, the 13th harmonic. It differs from 5/4 by 65/64, about 26.8¢. It differs from the undecimal neutral third 11/9 by 144/143, about 12¢. A 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 overtone of the harmonic series.

See: Gallery of Just Intervals