22/17

Interval information

Ratio	22/17
Factorization	2 × 11 × 17-1
Monzo	[1 0 0 0 1 0 -1⟩
Size in cents	446.3625¢
Name	septendecimal ultramajor third
Color name	17u1o3, sulo 3rd
FJS name	[math]\displaystyle{ \text{M3}^{11}_{17} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.54689
Weil norm (log2 max(n, d))	8.91886
Wilson norm (sopfr(nd))	30
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In 17-limit just intonation, 22/17 is the septendecimal ultramajor third, measuring about 446.4 ¢. It is the mediant between 9/7 and 13/10, as it is (9+13)/(7+10).

Intervals around this size or a few cents smaller make good generators for sensi temperament.

Approximation

Edo approximations for 22/17 (446.36 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
8	3\8	450.00	+3.64	+2.42
11	4\11	436.36	-10.00	-9.17
16	6\16	450.00	+3.64	+4.85
19	7\19	442.11	-4.26	-6.74
24	9\24	450.00	+3.64	+7.27
27	10\27	444.44	-1.92	-4.32
32	12\32	450.00	+3.64	+9.70
35	13\35	445.71	-0.65	-1.89
43	16\43	446.51	+0.15	+0.53
51	19\51	447.06	+0.70	+2.96
54	20\54	444.44	-1.92	-8.63
59	22\59	447.46	+1.10	+5.38
62	23\62	445.16	-1.20	-6.21
67	25\67	447.76	+1.40	+7.81
70	26\70	445.71	-0.65	-3.78
78	29\78	446.15	-0.21	-1.36

See also

• Gallery of just intervals
• 17/11 -- its octave complement