26/23

26/23, the vicesimotertial whole tone, is a 23-limit interval. It is close to the 3-step interval of 17edo.

Interval information

Ratio	26/23
Subgroup monzo	2.13.23 [1 1 -1⟩
Size in cents	212.2533¢
Name	vicesimotertial whole tone
Color name	23u3o2, twethutho 2nd
FJS name	[math]\displaystyle{ \text{d3}^{13}_{23} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.224
Weil norm (log2 max(n, d))	9.40088
Wilson norm (sopfr(nd))	38
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Approximation

Edo approximations for 26/23 (212.25 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
6	1\6	200.00	-12.25	-6.13
11	2\11	218.18	+5.93	+5.43
17	3\17	211.76	-0.49	-0.69
23	4\23	208.70	-3.56	-6.82
28	5\28	214.29	+2.03	+4.74
34	6\34	211.76	-0.49	-1.38
40	7\40	210.00	-2.25	-7.51
45	8\45	213.33	+1.08	+4.05
51	9\51	211.76	-0.49	-2.08
56	10\56	214.29	+2.03	+9.48
57	10\57	210.53	-1.73	-8.20
62	11\62	212.90	+0.65	+3.36
68	12\68	211.76	-0.49	-2.77
73	13\73	213.70	+1.45	+8.79
74	13\74	210.81	-1.44	-8.90
79	14\79	212.66	+0.40	+2.67

See also

• 23/13 – its octave complement
• Gallery of just intervals
• 23-odd-limit

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