49/25

Interval information

Ratio	49/25
Factorization	5-2 × 72
Monzo	[0 0 -2 2⟩
Size in cents	1165.024¢
Name	BP eighth
Color name	zzgg9, bizogu 9th
FJS name	[math]\displaystyle{ \text{d9}^{7,7}_{5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.2586
Weil norm (log2 max(n, d))	11.2294
Wilson norm (sopfr(nd))	24
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49/25, called as the BP eighth, is an interval approximated by many notable tunings, including but not limited to Bohlen-Pierce, 27edo, 34edo, 53edo and 72edo. As a stack of two diminished fifths 7/5, it can be thought of as a diminished 9th.

Approximation

Edo approximations for 49/25 (1165.02 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
2	2\2	1200.00	+34.98	+5.83
3	3\3	1200.00	+34.98	+8.74
31	30\31	1161.29	-3.73	-9.65
32	31\32	1162.50	-2.52	-6.73
33	32\33	1163.64	-1.39	-3.82
34	33\34	1164.71	-0.32	-0.90
35	34\35	1165.71	+0.69	+2.01
36	35\36	1166.67	+1.64	+4.93
37	36\37	1167.57	+2.54	+7.84
66	64\66	1163.64	-1.39	-7.63
67	65\67	1164.18	-0.85	-4.72
68	66\68	1164.71	-0.32	-1.80
69	67\69	1165.22	+0.19	+1.11
70	68\70	1165.71	+0.69	+4.02
71	69\71	1166.20	+1.17	+6.94
72	70\72	1166.67	+1.64	+9.85

See also

• 50/49 – its octave complement