The next step is to check to see if you have continuity along the wiring. You will need a multimeter and a helper:
- Set the multimeter to measure voltage
- Touch the red lead to the horn wire connection, making sure you are making metal to metal contact with the connector. Then touch your black lead to a metal point on the body of the car (NOT a painted surface!), or the other horn wire connector (if there is a 2nd).
- Observe the meter for a rise in voltage as you have your helper push the horn button.
If you get a voltage reading, then try reseating the connections (signal and ground) back on the horn and try it again, making sure connections are clear of corrosion.
If you do not get a signal, recheck your multimeter lead contact points (just to be sure) and then try again. If you still do have a signal then you are losing your signal somewhere along the way from the fuse to the horn.
There is also this link where you may be able to find some useful info:
http://forum.miata.net/vb/showthread.php?t=279008
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