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 minor diesis, tridecimal fifth tone
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
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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). Possibility to change from subsystem 4 to subsystem 3 (or 5 to 13).