Divide and conquer.
Test your horn first. Disconnect the wires and use test leads to connect the horn directly to the battery. If is makes the proper noise, then you know it's wiring or switch. Jump to "Wiring".
Horn:
If it makes no noise or just a single thump, try tapping the horn with a screwdriver butt to loosen any crud. Also try reversing the wires. Test again. If no change, then try the adjuster screw. If no change, look for a new horn.
Wiring:
One horn wire is hot when the key is in running position. Test it with a volt meter.
The other wire is grounded when the horn button is pressed. Test this wire with an ohm meter between the wire and engine block. If ohms fall from infinite to zero when you press the horn button, then that wire and the button are good.
One of these three tests will lead you to the fault.