19/10
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| 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{nd}[/math]) |
~4.2441 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.