81/49

Interval information

Ratio	81/49
Factorization	34 × 7-2
Monzo	[0 4 0 -2⟩
Size in cents	870.1682¢
Names	Septimal augmented fifth, novel submajor sixth
FJS name	[math]\displaystyle{ \text{A5}_{7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	11.9546
Weil norm (log2 max(n, d))	12.6797
Wilson norm (sopfr(nd))	26
Open this interval in xen-calc

81/49, the novel submajor sixth or septimal augmented fifth, is a 7-limit interval. It is the interval created by stacking two 9/7s, and is equated to 5/3 in sensamagic (245/243) temperaments, including no-twos BPS.

Approximations

Edo approximations for 81/49 (870.17 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
4	3\4	900.00	+29.83	+9.94
7	5\7	857.14	-13.03	-7.60
11	8\11	872.73	+2.56	+2.35
18	13\18	866.67	-3.50	-5.25
22	16\22	872.73	+2.56	+4.69
29	21\29	868.97	-1.20	-2.91
33	24\33	872.73	+2.56	+7.04
40	29\40	870.00	-0.17	-0.56
44	32\44	872.73	+2.56	+9.38
47	34\47	868.09	-2.08	-8.16
51	37\51	870.59	+0.42	+1.79
58	42\58	868.97	-1.20	-5.81
62	45\62	870.97	+0.80	+4.13
69	50\69	869.57	-0.60	-3.47
73	53\73	871.23	+1.06	+6.48
80	58\80	870.00	-0.17	-1.12

See also

• 98/81, its octave complement

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