Since it happens at mid and high speeds, I suspect they're not balanced and are wobbling. Ceiling fans should come with a balancing kit. It's basically some weights with adhesive on one side. The kit will also come with a test-weight shapped like a "U" that you slip onto the edge of one of the blades. By experimenting with the test-weight, you can find which fan blade needs the balancing weight added. Then you move the test-weight up and down the blade to find the optimum location. Once you optimize the location, you stick on the more permanent fan weight. Bare in mind that you may need weights on more than one fan blade.
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~micah
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