Perhaps it is not a 2:1 "balun" but a 2:1 transformer that is desired.
The impedance is stepped by the square of the turns ratio.
2:1 turns ratio gives 4:1 step. If you want a 2:1 step, use 1.414:1 and you
will be close.
Try 14 turns and 10 turns. or 7 and 5, etc. on a toroid. Test the number
of turns to ensure you are getting good coefficient of coupling between
primary and secondary. Too many turns and you have a choke. Cut and
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