28/23

Interval information

Ratio	28/23
Subgroup monzo	2.7.23 [2 1 -1⟩
Size in cents	340.5516¢
Name	vicesimotertial neutral third
Color name	23uz3, twethuzo 3rd
FJS name	[math]\displaystyle{ \text{d4}^{7}_{23} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.33092
Weil norm (log2 max(n, d))	9.61471
Wilson norm (sopfr(nd))	34
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28/23, the vicesimotertial neutral third, is a 23-limit interval. It is near the border of neutral thirds and supraminor thirds.

Approximation

Edo approximations for 28/23 (340.55 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	2\7	342.86	+2.31	+1.34
14	4\14	342.86	+2.31	+2.69
21	6\21	342.86	+2.31	+4.03
25	7\25	336.00	-4.55	-9.48
28	8\28	342.86	+2.31	+5.38
32	9\32	337.50	-3.05	-8.14
35	10\35	342.86	+2.31	+6.72
39	11\39	338.46	-2.09	-6.79
42	12\42	342.86	+2.31	+8.07
46	13\46	339.13	-1.42	-5.45
49	14\49	342.86	+2.31	+9.41
53	15\53	339.62	-0.93	-4.10
60	17\60	340.00	-0.55	-2.76
67	19\67	340.30	-0.25	-1.41
74	21\74	340.54	-0.01	-0.07

See also

• 23/14 – its octave complement
• Gallery of just intervals
• 23-odd-limit

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