30/19

Interval information

Ratio	30/19
Subgroup monzo	2.3.5.19 [1 1 1 -1⟩
Size in cents	790.7557¢
Names	small undevicesimal minor sixth, Eratosthenes' minor sixth
Color name	19uy5, nuyo 5th
FJS name	[math]\text{A5}^{5}_{19}[/math]
Special properties	reduced
Tenney height (log2 nd)	9.15482
Weil height (log2 max(n, d))	9.81378
Wilson height (sopfr(nd))	29
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.23129 bits
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30/19, the small undevicesimal minor sixth is a 19-limit interval, 790.8 cents in size. In the Functional Just System and Helmholtz-Ellis notation, it is an augmented fifth, obtained by subtracting 81/80 and 513/512 from the Pythagorean augmented fifth, but it may be called the Eratosthenes' minor sixth as it is flatter than the Pythagorean minor sixth by the password aka Eratosthenes' comma (1216/1215), an unnoticeable comma of about 1.4243 cents.

See also

• 19/15 – its octave complement
• 19/12 – the large undevicesimal minor sixth
• Gallery of just intervals