19/18
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| Ratio | 19/18 |
| Subgroup monzo | 2.3.19 [-1 -2 1⟩ |
| Size in cents | 93.603014¢ |
| Names | large undevicesimal semitone, undevicesimal limma, Boethius' semitone |
| Color name | 19o2, ino 2nd |
| FJS name | [math]\text{m2}^{19}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 8.41785 |
| Weil height (log2 max(n, d)) | 8.49586 |
| Wilson height (sopfr (nd)) | 27 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.65564 bits |
| Comma size | medium |
[sound info] | |
| open this interval in xen-calc | |
In 19-limit just intonation, 19/18 is the large undevicesimal semitone or Boethius' semitone, measuring about 93.6¢. It is sharp of the Pythagorean limma (256/243) by 513/512, the undevicesimal comma aka Boethius' comma.
The small comma (39/35)/(19/18)2 = 12636/12635 is tempered out in 53, 130, 140, 243, 270, 422, 513, 665, 742, 795, 935, 1065, 1178, 1205, 1308, 1395, 1448, 1578, 2000, 2190, 2243, 2460, 3125, 3178, 3395, and 4703 EDOs.
See also
- 36/19 – its octave complement, the undevicesimal major seventh
- 20/19 – the small undevicesimal semitone
- Gallery of just intervals
- List of superparticular intervals