23/17

Interval information
Ratio	23/17
Subgroup monzo	17.23 [-1 1⟩
Size in cents	523.3189¢
Name	vicesimotertial acute fourth
Color name	23o17u4, twethosu 4th
FJS name	[math]\displaystyle{ \text{A3}^{23}_{17} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.61102
Weil norm (log2 max(n, d))	9.04712
Wilson norm (sopfr(nd))	40
	https://en.xen.wiki/w/File:Ji-23-17-csound-foscil-220hz.mp3; [sound info]
	Open this interval in xen-calc

23/17, the vicesimotertial acute fourth, is a 23-limit interval. It is sharp of the perfect fourth (4/3) by 69/68, and sharp of the classical acute fourth (27/20) by 460/459.

Approximation

Edo approximations for 23/17 (523.32 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	3\7	514.29	-9.03	-5.27
9	4\9	533.33	+10.01	+7.51
16	7\16	525.00	+1.68	+2.24
23	10\23	521.74	-1.58	-3.03
25	11\25	528.00	+4.68	+9.75
30	13\30	520.00	-3.32	-8.30
32	14\32	525.00	+1.68	+4.48
39	17\39	523.08	-0.24	-0.79
46	20\46	521.74	-1.58	-6.06
48	21\48	525.00	+1.68	+6.72
55	24\55	523.64	+0.32	+1.45
62	27\62	522.58	-0.74	-3.81
64	28\64	525.00	+1.68	+8.97
69	30\69	521.74	-1.58	-9.08
71	31\71	523.94	+0.62	+3.70
78	34\78	523.08	-0.24	-1.57