25/19

Interval information

Ratio	25/19
Subgroup monzo	5.19 [2 -1⟩
Size in cents	475.1144¢
Names	undevicesimal augmented third, undevicesimal grave fourth
Color name	19uyy3, nuyoyo 3rd
FJS name	[math]\displaystyle{ \text{A3}^{5,5}_{19} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.89178
Weil norm (log2 max(n, d))	9.28771
Wilson norm (sopfr(nd))	29
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25/19, the undevicesimal augmented third or undevicesimal grave fourth, is a 19-limit interval. It is very closely approximated by 48edo's interval of 19\48, and close to the fourth root of 3/1, therefore capable of serving as a generator for buzzard.

Approximation

Edo approximations for 25/19 (475.11 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	2\5	480.00	+4.89	+2.04
10	4\10	480.00	+4.89	+4.07
15	6\15	480.00	+4.89	+6.11
20	8\20	480.00	+4.89	+8.14
28	11\28	471.43	-3.69	-8.60
33	13\33	472.73	-2.39	-6.56
38	15\38	473.68	-1.43	-4.53
43	17\43	474.42	-0.70	-2.49
48	19\48	475.00	-0.11	-0.46
53	21\53	475.47	+0.36	+1.58
58	23\58	475.86	+0.75	+3.61
63	25\63	476.19	+1.08	+5.65
68	27\68	476.47	+1.36	+7.69
73	29\73	476.71	+1.60	+9.72
76	30\76	473.68	-1.43	-9.06

See also

• 38/25 – its octave complement
• Gallery of just intervals
• 25-odd-limit