The Perfect Solution
I didn't realize that I had another turbo shaker, filled in this case with pepper. The holes are really too small to get any pepper out of it, so I used that other container, which is like for parmesan cheese. It got empty and I was about to refill it with pepper when I noticed my still full turbo shaker. Why not dispense with the pepper in there and replace it with salt, thus giving me a new turbo?
I washed it out very carefully of course and now await the perfect dryness so I can load salt into it. The old pepper container, well, I just added the old pepper to it and feel that was good enough.