Thanks all, that's what I thought. There is only one capacitor with just two terminals, so I think the three speeds are not achieved by different capacitor values, only by switching different coils in the motor itself.
We do have a high quality ceiling fan that is much quieter, but have just moved house (again), so it is still in its box and not fitted yet.
Ironically I am waiting for cooler weather before I go up into the loft to fit a reinforcement plate to mount the ceiling fan in the bedroom. If I went up there now in this heat, I would expire ! Catch 22.
I might try smoothing the blade edges of the noisy floor fan though in the meantime.
I don't know a lot about induction motors, would a variable phase-angle type dimmer switch work, or would it cause motor overheating?
Edited By John Doe 2 on 12/08/2022 07:41:57