I like to use oval jump rings in my jewelry because they are strong and attractive. But it can be difficult to make them. I tried the oval winder you see below. Unless your wire is very stiff, it twists when you take it off the mandrel making it hard to cut jump rings with consistently-positioned seams, and even harder to saw them in a jump ring jig.
After some experimenting, I found the best solution for me is to make my own mandrels that I modify slightly so I can saw even, consistent jump rings.
Tape two round mandrels together, wind the wire evenly around them and saw, positioning your saw at an angle as you would for round jump rings. The notch or space between the mandrels allows you to angle your saw and cut a perfect jump ring. Here are some pictures of the process of sawing oval jump rings using two 10 mm mandrels. Be sure to securely clamp your mandrel to something to hold it steady while you saw. And don’t forget to lubricate your saw blade.
The size and shape of your jump rings are limited only by the size and shape of your mandrels. I wanted some smaller jump rings and used drill bits I taped together at the drilling ends so I could use the smooth parts as mandrels. Again, the space between the two drill bits allows you to saw your jump rings at an angle, one jump ring at a time.
I used 1/4″ drill bits here. You could go smaller if you needed smaller jump rings. You could use nails with the heads sawed off, or any kind of smooth mandrels taped together.
Some more mandrels to try: Paint stirrers and Popsicle sticks make great oval-shaped jump rings. Just clamp them to a steady surface, wind the wire, and saw.
Here’s a sampling of different oval jump rings you can make with the mandrels I’ve described. The ends are nice and flush for soldering or you can close them with pliers and leave them unsoldered. Give it a try!