jerohm-
Taking the woofer out and shaking it resolved the question of what was making the noise. The hole that extends through the magnet has a "filter" on the opening behind the dust cap. It is held in place with some adhesive that apparently ages and gets hard and not so adhesive. This fiber mesh screen and surrounding hardened adhesive is what was rattling around in there. The adhesive is so brittle it has the consistency of hard plastic, and some of the pieces broke off of the main mass and got caught in the void between the voice coil and the magnet. The whole mass of filter and hardened adhesive would not come out through the hole, so I carefully cut the dust cover off and removed the filter and hardened adhesive. Shaking the remaining tiny pieces out and replacing the woofer completely eliminated the noise, and now my forte II's sound just as good as ever.
Thanks to you, jerohm, and to all of the others for their helpful posts!
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