This is how I make wire loop bead connectors when I want them snug against the bead. I use 21 gauge half hard wire.

These are the tools I use: a pair of bail-forming pliers and a flush cutter.

I first trim the end of the wire so it’s flat, not pointed. Then I make a loop on one end so it becomes a head pin. Then I thread this head pin through the bead.

I bend the straight wire over with my fingers as close to 90˚ as I can.

Next, I grab the end of the wire with the bail-forming pliers and coil it until it’s close to centered, but not quite. 

I allow the wire to overlap.

Here’s a view from the other side. You can see it’s off center.

I remove the pliers and trim the wire so it’s flat, not pointed, as close as the flush cutters will allow. This leaves a fairly substantial gap. 

I put the pliers back in the loop and roll the wire until the loop is centered. This closes the gap and it’s done.