30/29

Interval information

Ratio	30/29
Subgroup monzo	2.3.5.29 [1 1 1 -1⟩
Size in cents	58.69152 ¢
Name	small vicesimononal quartertone
Color name	29uy1, twenuyo unison
FJS name	[math]\displaystyle{ \text{A1}^{5}_{29} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	9.76487
Weil norm (log2 max(n, d))	9.81378
Wilson norm (sopfr(nd))	39
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In 29-limit just intonation, 30/29 is the small vicesimononal quartertone, as opposed to the large vicesimononal quartertone of 29/28, from which it differs by 841/840, and together they add up to 15/14, the septimal major semitone.

Edo approximations for 30/29 (58.69 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
2	0\2	0.00	-58.69	-9.78
19	1\19	63.16	+4.47	+7.07
20	1\20	60.00	+1.31	+2.18
21	1\21	57.14	-1.55	-2.71
22	1\22	54.55	-4.15	-7.60
39	2\39	61.54	+2.85	+9.25
40	2\40	60.00	+1.31	+4.36
41	2\41	58.54	-0.15	-0.53
42	2\42	57.14	-1.55	-5.42
60	3\60	60.00	+1.31	+6.54
61	3\61	59.02	+0.32	+1.65
62	3\62	58.06	-0.63	-3.24
63	3\63	57.14	-1.55	-8.13
80	4\80	60.00	+1.31	+8.72

See also

• 29/15 – its octave complement
• 29/20 – its fifth complement