19/18

Interval information

Ratio	19/18
Subgroup monzo	2.3.19 [-1 -2 1⟩
Size in cents	93.60301¢
Name	greater undevicesimal semitone greater undevicesimal limma undevicesimal minor second
Color name	19o2, ino 2nd
FJS name	[math]\displaystyle{ \text{m2}^{19} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	8.41785
Weil norm (log2 max(n, d))	8.49586
Wilson norm (sopfr(nd))	27
[sound info]
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In 19-limit Just Intonation, 19/18 is the "greater undevicesimal semitone," measuring about 93.6¢. Its octave complement is 36/19, the "undevicesimal major seventh".

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, 1178, 1065, 1205, 1308, 1395, 1448, 1578, 2000, 2190, 2243, 2460, 3125, 3178, 3395, and 4703 EDOs.

The password comma, (256/243)/(20/19) = (19/18)/(135/128) = 1216/1215 is tempered out in 12, 29, 41, 53, 65, 77, 87, 94, 99, 106, 111, 118, 130, 140, 152, 159, 183, 193, 205, 217, 270, 282, 311, 323, 364, 400, 422, 581, and 692 EDOs, leading to a variety of temperaments which identifies small undevicesimal semitone with Pythagorean limma and greater undevicesimal semitone with major limma respectively.

See also

• 20/19 - small undevicesimal semitone