19/18
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Ratio
19/18
Subgroup monzo
2.3.19 [-1 -2 1⟩
Size in cents
93.60301¢
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{nd}[/math])
~4.30069 bits
Comma size
medium
[sound info]
open this interval in xen-calc
| Interval information |
undevicesimal limma,
Boethius' semitone
reduced
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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