16/13

Interval information

Ratio	16/13
Subgroup monzo	2.13 [4 -1⟩
Size in cents	359.4723¢
Name	neutral tridecimal third
FJS name	[math]\displaystyle{ \text{M3}_{13} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	7.70044
Weil height (log2 max(n, d))	8
Wilson height (sopfr(nd))	21
[sound info]
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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 81/64 by 1053/1024, about 48¢, from 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 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 also

• 13/8 - its octave complement
• 39/32 - its fifth complement
• Gallery of Just Intervals