49/25

Interval information

Ratio	49/25
Factorization	5-2 × 72
Monzo	[0 0 -2 2⟩
Size in cents	1165.024¢
Names	jubilismic suboctave, 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, the jubilismic suboctave, is a jubilisma short of the octave. As a stack of two 7/5 diminished fifths, it can be thought of as a diminished ninth. It is also called the BP eighth in the Bohlen–Pierce scale.

It is approximated by many notable tunings besides Bohlen–Pierce, including but not limited to 27edo, 34edo, 53edo and 72edo, though for 34edo neither the patent val nor the 34d val (written with wart notation) actually maps it to the closest step, but the 68edo mapping must be used instead.

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