46/27

46/27, the vicesimotertial major sixth, is a 23-limit interval. It is sharp of the Pythagorean major third by a vicesimotertial formal comma, 736/729.

Interval information

Ratio	46/27
Subgroup monzo	2.3.23 [1 -3 1⟩
Size in cents	922.4093¢
Name	vicesimotertial major sixth
Color name	twetho 7th, 23o7
FJS name	[math]\displaystyle{ \text{M6}^{23} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.2784
Weil norm (log2 max(n, d))	11.0471
Wilson norm (sopfr(nd))	34
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Approximation

Edo approximations for 46/27 (922.41 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
4	3\4	900.00	-22.41	-7.47
9	7\9	933.33	+10.92	+8.19
13	10\13	923.08	+0.67	+0.72
17	13\17	917.65	-4.76	-6.75
22	17\22	927.27	+4.86	+8.92
26	20\26	923.08	+0.67	+1.45
30	23\30	920.00	-2.41	-6.02
35	27\35	925.71	+3.30	+9.64
39	30\39	923.08	+0.67	+2.17
43	33\43	920.93	-1.48	-5.30
52	40\52	923.08	+0.67	+2.89
56	43\56	921.43	-0.98	-4.58
65	50\65	923.08	+0.67	+3.62
69	53\69	921.74	-0.67	-3.85
78	60\78	923.08	+0.67	+4.34

See also

• 27/23 – its octave complement

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