26/21

26/21, the tridecimal submajor third, approx. 370 cents in size, has a very close approximation in 13edo. Its inverse is the tridecimal supraminor sixth (21/13).

Interval information

Ratio	26/21
Factorization	2 × 3-1 × 7-1 × 13
Monzo	[1 -1 0 -1 0 1⟩
Size in cents	369.7468¢
Name	tridecimal submajor third
Color name	thoru 3rd, 3or3
FJS name	[math]\displaystyle{ \text{m3}^{13}_{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.09276
Weil norm (log2 max(n, d))	9.40088
Wilson norm (sopfr(nd))	25
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Approximation

Edo approximations for 26/21 (369.75 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
3	1\3	400.00	+30.25	+7.56
10	3\10	360.00	-9.75	-8.12
13	4\13	369.23	-0.52	-0.56
16	5\16	375.00	+5.25	+7.00
23	7\23	365.22	-4.53	-8.68
26	8\26	369.23	-0.52	-1.12
29	9\29	372.41	+2.67	+6.45
36	11\36	366.67	-3.08	-9.24
39	12\39	369.23	-0.52	-1.68
42	13\42	371.43	+1.68	+5.89
49	15\49	367.35	-2.40	-9.80
52	16\52	369.23	-0.52	-2.24
55	17\55	370.91	+1.16	+5.33
65	20\65	369.23	-0.52	-2.79
68	21\68	370.59	+0.84	+4.77
78	24\78	369.23	-0.52	-3.35

See also

• 21/13 – its octave complement
• 63/52 – its fifth complement
• Gallery of just intervals