Stuart Longland wrote:
My guess is that the turns count is waay too small, and that maybe
450:100 might be closer to the mark, but I really don't feel like
winding that many turns on a toroid. 45 felt like a marathon.

Don't you have an ancient defective portable AM radio (you know, the
kind that proudly mentioned "6 transistors" on the case)?

The have those small E-I core transformers (soaked in wax) that are
suitable for the job.