27/23

27/23, the vicesimotertial minor third, is a 23-limit interval. It is flat of the Pythagorean minor third by a vicesimotertial formal comma, 736/729.

Interval information

Ratio	27/23
Subgroup monzo	3.23 [3 -1⟩
Size in cents	277.5907¢
Name	vicesimotertial minor third
Color name	twethu 2nd, 23u2
FJS name	[math]\displaystyle{ \text{m3}_{23} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.27845
Weil norm (log2 max(n, d))	9.50978
Wilson norm (sopfr(nd))	32
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Approximation

Edo approximations for 27/23 (277.59 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
4	1\4	300.00	+22.41	+7.47
9	2\9	266.67	-10.92	-8.19
13	3\13	276.92	-0.67	-0.72
17	4\17	282.35	+4.76	+6.75
22	5\22	272.73	-4.86	-8.92
26	6\26	276.92	-0.67	-1.45
30	7\30	280.00	+2.41	+6.02
35	8\35	274.29	-3.30	-9.64
39	9\39	276.92	-0.67	-2.17
43	10\43	279.07	+1.48	+5.30
52	12\52	276.92	-0.67	-2.89
56	13\56	278.57	+0.98	+4.58
65	15\65	276.92	-0.67	-3.62
69	16\69	278.26	+0.67	+3.85
78	18\78	276.92	-0.67	-4.34

See also

• 46/27 – its octave complement
• 23/18 – its fifth complement

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