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Interval information
Ratio 19/10
Subgroup monzo 2.5.19 [-1 -1 1
Size in cents 1111.1993¢
Names undeviceismal diminished octave,
Eratosthenes' major seventh
Color name 19og8, nogu octave
FJS name [math]\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]\sqrt{n\cdot d}[/math])
~4.60118 bits

[sound info]
open this interval in xen-calc

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.