19/11

Interval information

Ratio	19/11
Subgroup monzo	11.19 [-1 1⟩
Size in cents	946.1951¢
Names	undevicesimal semitwelfth, maximal major sixth
Color name	19o1u7, nolu seventh
FJS name	[math]\displaystyle{ \text{m7}^{19}_{11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	7.70736
Weil norm (log2 max(n, d))	8.49586
Wilson norm (sopfr(nd))	30
[sound info]
Open this interval in xen-calc

19/11, the undevicesimal semitwelfth is a 19-limit interseptimal interval measuring about 946 cents. It is classified as a minor seventh in FJS and HEJI, flat of the Pythagorean minor seventh by 176/171, which is the difference between 33/32 and 513/512. It can also be called the maximal major sixth in analogy to its inverse 22/19, in which case it is sharp of the Pythagorean major sixth by 304/297. A stack of two 19/11's falls short of 3/1 by 363/361.

Approximation

Edo approximations for 19/11 (946.20 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	4\5	960.00	+13.80	+5.75
9	7\9	933.33	-12.86	-9.65
14	11\14	942.86	-3.34	-3.89
19	15\19	947.37	+1.17	+1.86
24	19\24	950.00	+3.80	+7.61
28	22\28	942.86	-3.34	-7.79
33	26\33	945.45	-0.74	-2.04
38	30\38	947.37	+1.17	+3.72
43	34\43	948.84	+2.64	+9.47
47	37\47	944.68	-1.51	-5.93
52	41\52	946.15	-0.04	-0.18
57	45\57	947.37	+1.17	+5.57
61	48\61	944.26	-1.93	-9.82
66	52\66	945.45	-0.74	-4.07
71	56\71	946.48	+0.28	+1.68
76	60\76	947.37	+1.17	+7.43
80	63\80	945.00	-1.20	-7.97

See also

• 22/19 – its octave complement
• Gallery of just intervals