39/38

Interval information

Ratio	39/38
Factorization	2-1 × 3 × 13 × 19-1
Monzo	[-1 1 0 0 0 1 0 -1⟩
Size in cents	44.96965¢
Names	undevicesimal diesis, undevicesimal 2/9-tone
Color name	19u3o1, nutho 1sn
FJS name	[math]\displaystyle{ \text{P1}^{13}_{19} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	10.5333
Weil height (log2 max(n, d))	10.5708
Wilson height (sopfr(nd))	37
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.50389 bits
Comma size	medium
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39/38 is a superparticular interval of about 45¢ which makes the difference between 13/8 and 19/12 in 19-limit just intonation; it is also the difference between 13/12 and 19/18.

See also

• List of superparticular intervals