38/29

Interval information

Ratio	38/29
Subgroup monzo	2.19.29 [1 1 -1⟩
Size in cents	467.9358¢
Name	Narrow vicesimononal subfourth
Color name	29u19o4, twenuno 4th
FJS name	[math]\displaystyle{ \text{P4}^{19}_{29} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.1059
Weil height (log2 max(n, d))	10.4959
Wilson height (sopfr(nd))	50
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.26964 bits
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In 29-limit just intonation, 38/29 is a subfourth. It is flat of the perfect fourth (4/3) by 58/57 (~30 ¢). It is very close to 21/16, the octave-reduced 21st harmonic, differing by 609/608. It also differs by less than 0.035 cents from the subfourth obtained from dividing 3/2 into three equal parts and taking two of them.

See also

• 29/19 – its octave complement