38/31

Interval information

Ratio	38/31
Subgroup monzo	2.19.31 [1 1 -1⟩
Size in cents	352.4774¢
Name	tricesimoprimal neutral third
Color name	31u19o4, thiwuno 4th
FJS name	[math]\displaystyle{ \text{d4}^{19}_{31} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.2021
Weil height (log2 max(n, d))	10.4959
Wilson height (sopfr(nd))	52
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.25799 bits
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In 31-limit just intonation, 38/31 is the tricesimoprimal neutral third. It is sharp of the undecimal neutral third (11/9) by 342/341 (~5.1 ¢), flat of rastmic neutral third (27/22) by 837/836 (~2.1 ¢), and flat of the utonal neutral third (16/13) by 248/247 (~7 ¢).

See also

• 31/19 – its octave complement