17/11

Interval information

Ratio	17/11
Subgroup monzo	11.17 [-1 1⟩
Size in cents	753.6375¢
Name	septendecimal inframinor sixth
Color name	17o1u6, solu 6th
FJS name	[math]\displaystyle{ \text{m6}^{17}_{11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	7.54689
Weil norm (log2 max(n, d))	8.17493
Wilson norm (sopfr(nd))	28
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In 17-limit just intonation, 17/11 is the septendecimal inframinor sixth, measuring about 753.6 ¢. It is the mediant between 3/2 and 14/9. Its inversion is 22/17, the "septendecimal supermajor third." It is sometimes known as the major fifth in systems such as 16edo in which 3/2 is split into two very distinct intervals.

Approximation

Edo approximations for 17/11 (753.64 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
8	5\8	750.00	-3.64	-2.42
11	7\11	763.64	+10.00	+9.17
16	10\16	750.00	-3.64	-4.85
19	12\19	757.89	+4.26	+6.74
24	15\24	750.00	-3.64	-7.27
27	17\27	755.56	+1.92	+4.32
32	20\32	750.00	-3.64	-9.70
35	22\35	754.29	+0.65	+1.89
43	27\43	753.49	-0.15	-0.53
51	32\51	752.94	-0.70	-2.96
54	34\54	755.56	+1.92	+8.63
59	37\59	752.54	-1.10	-5.38
62	39\62	754.84	+1.20	+6.21
67	42\67	752.24	-1.40	-7.81
70	44\70	754.29	+0.65	+3.78
78	49\78	753.85	+0.21	+1.36

See also

• Gallery of just intervals
• 22/17 -- its octave complement