19/10

Interval information

Ratio	19/10
Subgroup monzo	2.5.19 [-1 -1 1⟩
Size in cents	1111.199¢
Names	undeviceismal diminished octave, Eratosthenes' major seventh
Color name	19og8, nogu octave
FJS name	[math]\displaystyle{ \text{d8}^{19}_{5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	7.56986
Weil height (log2 max(n, d))	8.49586
Wilson height (sopfr(nd))	26
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.2441 bits
[sound info]
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In 19-limit just intonation, 19/10 is the undevicesimal diminished octave, measuring about 1111.2¢. In the Functional Just System and Helmholtz-Ellis notation, it is a diminished octave, obtained by adding 81/80 and 513/512 to the Pythagorean diminished octave, but it may be called the Eratosthenes' major seventh as it is sharp of the Pythagorean major seventh (243/128) by 1216/1215, the password aka Eratosthenes' comma.