Yeah good advice MicDaddy.
There are a few things at play:
1) Single layer headbaskets can do this: if you read in the thread, adding mass around the inside bottom (with JB Weld, etc) can help this a lot
2) Tube microphonics: what you are hearing is mechanical coupling of the heavy-massed body to the tube internals, causing the ringing to be converted to output signal. Even guitar amps do this. You can mitigate it by selecting tubes for microphonics by either a) testing your stash with the pencil eraser test (rap on the side of the tube with the eraser end of a pencil, and pick the tube with the quietest "thunk"), or b) pay someone to screen the tube for you.
3) Mass of the body: the more body mass, the lower in frequency the resonance occurs.
One of my mikes has a resonance around 640Hz, however it hasn't been noticeable in any recording I've done with it so far.