49/32

49/32, the the octave-reduced 49th harmonic, also known as the septimal inframinor sixth or wide septimal superfifth^{[idiosyncratic term]}, or is 640/637 (8.1 cents) flat of 20/13, and is the interval between 8/7 and 7/4.

Interval information

Ratio	49/32
Factorization	2-5 × 72
Monzo	[-5 0 0 2⟩
Size in cents	737.6518¢
Names	septimal inframinor sixth, octave-reduced 49th harmonic
Color name	zz6, zozo 6th
FJS name	[math]\displaystyle{ \text{m6}^{7,7} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	10.6147
Weil norm (log2 max(n, d))	11.2294
Wilson norm (sopfr(nd))	24
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Five octaves plus 49/32 gives the interval 49/1, the ‘wide fortieth’, the equivalence interval for 173ed49.

Approximation

Edo approximations for 49/32 (737.65 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	3\5	720.00	-17.65	-7.35
8	5\8	750.00	+12.35	+8.23
13	8\13	738.46	+0.81	+0.88
18	11\18	733.33	-4.32	-6.48
21	13\21	742.86	+5.21	+9.11
26	16\26	738.46	+0.81	+1.75
31	19\31	735.48	-2.17	-5.60
34	21\34	741.18	+3.52	+9.99
39	24\39	738.46	+0.81	+2.63
44	27\44	736.36	-1.29	-4.72
52	32\52	738.46	+0.81	+3.51
57	35\57	736.84	-0.81	-3.85
65	40\65	738.46	+0.81	+4.39
70	43\70	737.14	-0.51	-2.97
78	48\78	738.46	+0.81	+5.26

See also

• 64/49 – its octave complement
• Gallery of just intervals