49/44

Interval information

Ratio	49/44
Factorization	2-2 × 72 × 11-1
Monzo	[-2 0 0 2 -1⟩
Size in cents	186.3339¢
Name	mothwellsmic major second
Color name	1uzz3, luzozo 3rd
FJS name	[math]\displaystyle{ \text{m3}^{7,7}_{11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	11.0741
Weil norm (log2 max(n, d))	11.2294
Wilson norm (sopfr(nd))	29
[sound info]
Open this interval in xen-calc

49/44, the mothwellsmic major second, is 99/98 flat of 9/8. It arises in 11-limit JI scales as the interval between 8/7 and 14/11, or between 11/7 and 7/4.

Terminology

It could also be called werckismic major second if viewed as fudging from 10/9 instead. But that name more appropriately refers to 55/49. Undecimal minor whole tone is attested in Scala.

Approximation

Edo approximations for 49/44 (186.33 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
6	1\6	200.00	+13.67	+6.83
7	1\7	171.43	-14.91	-8.69
13	2\13	184.62	-1.72	-1.86
19	3\19	189.47	+3.14	+4.97
26	4\26	184.62	-1.72	-3.72
32	5\32	187.50	+1.17	+3.11
38	6\38	189.47	+3.14	+9.94
39	6\39	184.62	-1.72	-5.59
45	7\45	186.67	+0.33	+1.25
51	8\51	188.24	+1.90	+8.08
52	8\52	184.62	-1.72	-7.45
58	9\58	186.21	-0.13	-0.61
64	10\64	187.50	+1.17	+6.22
65	10\65	184.62	-1.72	-9.31
71	11\71	185.92	-0.42	-2.48
77	12\77	187.01	+0.68	+4.36

See also

• Gallery of just intervals