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Doing it like John Henry said will also let you run a much heavier wire from the battery to the relay and thence to the horn. Then you'll actually get all the LOUD you are expecting. Otherwise you are not giving the horn the electrons it needs to meet your expectations.Peter Y.
Thanks Zoom ZoomIt is the OEM relay so looks like this will be a winter project!
If the relay you have now was added for the Fiams, I would say probably OK. If you're refering to the relay that comes on the bike, I would run the current hot lead to a new relay, used as a trigger lead, a new hot wire to the relay from the battery, with a fuse near the battery, and let that be the supply for the horn. That will keep a lot of juice out of the horn button therby lengthening the life of the horn switch. Otherwise, you're running a lot of current through the switch and inviting failure.John Henry