28/17

Interval information
Ratio	28/17
Factorization	22 × 7 × 17-1
Monzo	[2 0 0 1 0 0 -1⟩
Size in cents	863.8705¢
Name	septendecimal submajor sixth
Color name	17uz6, suzo 6th
FJS name	[math]\displaystyle{ \text{M6}^{7}_{17} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.89482
Weil norm (log2 max(n, d))	9.61471
Wilson norm (sopfr(nd))	28
	https://en.xen.wiki/w/File:Jid_28_17_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

In 17-limit just intonation, 28/17 is the septendecimal submajor sixth. It is the mediant of 5/3 and 23/14. Its octave complement is 17/14, the septendecimal supraminor third.

Approximation

Edo approximations for 28/17 (863.87 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	5\7	857.14	-6.73	-3.92
11	8\11	872.73	+8.86	+8.12
14	10\14	857.14	-6.73	-7.85
18	13\18	866.67	+2.80	+4.19
25	18\25	864.00	+0.13	+0.27
32	23\32	862.50	-1.37	-3.65
36	26\36	866.67	+2.80	+8.39
39	28\39	861.54	-2.33	-7.58
43	31\43	865.12	+1.25	+4.46
50	36\50	864.00	+0.13	+0.54
57	41\57	863.16	-0.71	-3.38
61	44\61	865.57	+1.70	+8.66
64	46\64	862.50	-1.37	-7.31
68	49\68	864.71	+0.84	+4.73
75	54\75	864.00	+0.13	+0.81