21/17

Interval information

Ratio	21/17
Factorization	3 × 7 × 17-1
Monzo	[0 1 0 1 0 0 -1⟩
Size in cents	365.8255¢
Name	septendecimal submajor third
Color name	17uz3, suzo 3rd
FJS name	[math]\displaystyle{ \text{M3}^{7}_{17} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.47978
Weil norm (log2 max(n, d))	8.78463
Wilson norm (sopfr(nd))	27
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21/17 is the septendecimal submajor third. It is well represented in 23edo and 36edo.

Approximation

Edo approximations for 21/17 (365.83 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
3	1\3	400.00	+34.17	+8.54
10	3\10	360.00	-5.83	-4.85
13	4\13	369.23	+3.41	+3.69
20	6\20	360.00	-5.83	-9.71
23	7\23	365.22	-0.61	-1.17
26	8\26	369.23	+3.41	+7.38
33	10\33	363.64	-2.19	-6.02
36	11\36	366.67	+0.84	+2.52
46	14\46	365.22	-0.61	-2.33
49	15\49	367.35	+1.52	+6.21
56	17\56	364.29	-1.54	-7.19
59	18\59	366.10	+0.28	+1.36
62	19\62	367.74	+1.92	+9.90
69	21\69	365.22	-0.61	-3.50
72	22\72	366.67	+0.84	+5.05
79	24\79	364.56	-1.27	-8.35

See also

• 34/21 – its octave complement
• 17/14 – its fifth complement
• Gallery of just intervals