I had no idea the original horn didn't have a relay... I just assumed that it would need one. I've only just begun to re-wire my truck, but I'm using a 12V universal kit so the horn wires will most likely be small gauge for a relay, I imagine... the piece of wire on my old horn looked like this:
Horn wireHope that helps a little... I have since thrown the wire away, so I can't measure it for you- sorry.