13/8

Interval information

Ratio	13/8
Subgroup monzo	2.13 [-3 1⟩
Size in cents	840.5277¢
Name	tridecimal neutral sixth
Color name	3o6, tho 6th
FJS name	[math]\displaystyle{ \text{m6}^{13} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	6.70044
Weil height (log2 max(n, d))	7.40088
Wilson height (sopfr(nd))	19
[sound info]
Open this interval in xen-calc

13/8 is the lesser tridecimal neutral sixth measuring about 840.5¢, falling between the categories of minor sixth and major sixth. In 13-limit Just intonation, 13/8, as an octave-reduced 13th harmonic, is treated as a basic component of harmony. In the harmonic series and in chords based on it, 13/8 sits between the more familiar consonances of 3/2 and 7/4, separated from each by the superparticular ratios 13/12 and 14/13, respectively. It differs from the 11-limit neutral sixth 18/11 by 144/143, about 12.1¢. It is called the lesser tridecimal neutral sixth in order to differentiate it from 64/39, another tridecimal neutral sixth.

See also

• Gallery of just intervals
• 16/13 its octave complement