19/10
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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]\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{nd}[/math])
~4.2441 bits
[sound info]
open this interval in xen-calc
| Interval information |
Eratosthenes' major seventh
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.