They actually do make it very small.
Amsteel Blue:
DIAM. inch
CIRC. inch
WEIGHT PER 100 FT. lbs
AVG. STRENGTH lbs
MIN. STRENGTH lbs
DIAM. mm
CIRC. mm
WEIGHT PER 100 M kg
AVG. STRENGTH kg
MIN. STRENGTH kg
ISO 2307 STRENGTH metric tons
7/64
5/16
0.3
1,600
1,400
2.5
7.5
0.45
730
650
0.73
1/8
3/8
0.5
2,500
2,300
3
9
0.74
1,100
1,000
1.1
5/32
15/32
0.75
4,000
3,600
4
12
1.1
1,800
1,600
1.8
3/16
9/16
1
5,400
4,900