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I had a kind of high pitched whistle. Which turned out to be a slightly loose piece of molding around the windshield. Which I glued into place and stopped most of the sound. Ridding around with my head out the window, was getting old, so I put a yard peice of tape on the outside border of the windshield (rubber/molding) just to localize the problem. Most of the sound went away, when the tape was over, the outside of the trouble spot.
I don´t really know which type of windshield mounting system you have. If it´s the rubber type, an experienced windshield installer can often, hit it in just the right spot, with a rubber hammer and reseat the winshield and rubber. Wouldn´t want to try it myself.
Many of the newer type windsheilds are glued in, and warrantied.
Had another howl, which turned out to be a plastic/plug in the roof rack, which was covering an unused slot. The plug fell out, of one cross piece, and was really loud.
Finding sounds, windnoise, rattles and whistles can often be a lot of trouble. I´ve found they are rarely coming from where, you think they are coming from.
Being able to push the corner of the windshield and changing the sound, could be vibration related or could be a faulty windshield seal (which might leak in the rain). Gluing windshield seals has rarley worked well for me.
Duct tpae isn´t a permenant fix, just a help, in narrowing down the location of the problem.[addsig]