19/12

Interval information

Ratio	19/12
Subgroup monzo	2.3.19 [-2 -1 1⟩
Size in cents	795.558¢
Names	large undevicesimal minor sixth, Boethius' minor sixth
Color name	19o6, ino 6th
FJS name	[math]\displaystyle{ \text{m6}^{19} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	7.83289
Weil norm (log2 max(n, d))	8.49586
Wilson norm (sopfr(nd))	26
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19/12, the large undevicesimal minor sixth or Boethius' minor sixth, is a 19-limit interval that is very close to the minor sixth of 12edo (800 cents). It is an undevicesimal comma aka Boethius' comma (513/512) above the Pythagorean minor sixth.

Approximation

Edo approximations for 19/12 (795.56 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
3	2\3	800.00	+4.44	+1.11
6	4\6	800.00	+4.44	+2.22
9	6\9	800.00	+4.44	+3.33
12	8\12	800.00	+4.44	+4.44
15	10\15	800.00	+4.44	+5.55
18	12\18	800.00	+4.44	+6.66
21	14\21	800.00	+4.44	+7.77
24	16\24	800.00	+4.44	+8.88
27	18\27	800.00	+4.44	+9.99
65	43\65	793.85	-1.71	-9.27
68	45\68	794.12	-1.44	-8.16
71	47\71	794.37	-1.19	-7.05
74	49\74	794.59	-0.96	-5.94
77	51\77	794.81	-0.75	-4.83
80	53\80	795.00	-0.56	-3.72

See also

• 24/19 – its octave complement
• 30/19 – the small undevicesimal minor sixth
• Gallery of just intervals