40/39

Interval information

Ratio	40/39
Factorization	23 × 3-1 × 5 × 13-1
Monzo	[3 -1 1 0 0 -1⟩
Size in cents	43.83105¢
Names	tridecimal 1/5-tone, tridecimal minor diesis
Color name	3uy1, thuyo unison
FJS name	[math]\displaystyle{ \text{A1}^{5}_{13} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	10.6073
Weil height (log2 max(n, d))	10.6439
Wilson height (sopfr(nd))	27
Open this interval in xen-calc

40/39 is the difference between the third octave of the third 5/4 (40 = 5 ⋅ 2³) and the fifth of the thirteenth partial of the same root (39 = 13 ⋅ 3).