Hello:
I have a bunch of tiny 70.7V audio transformers with primary taps for 2W, 1W, 0.5W and 0.25W, and 8 ohm secondary. (actually, there are 7 taps, 4 for 70.7V, 4 for 25 V, with the middle one common to both)
Primary impedances at 70.7 V for 2W, 1W, 0.5W, 0.25W are
V P R (Z)
70.71067812 2 2500
70.71067812 1 5000
70.71067812 0.5 10000
70.71067812 0.25 20000
They are pretty tiny (roughly 1.25"x1"x1"). Some are still mounted on a 4" 10W 8 ohm speaker.
One side of the primary is a common lead and the other lead goes to push-on terminals on the transformer circuit board.
I'm pretty sure I verified (I've forgotten & have to look for notes) the Common-1W-2W form a center tapped primary (0-5000-20000...half the primary is 1/4 the impedance). I wouldn't put money on my explanation as it doesn't make complete sense as written. Assume for the sake of progress the primary does offer a center tap for the full primary.
Now, digging through piles of basement treasure, I am intrigued at the possibility of a tiny push-pull tube amp.

The following is NOT the type I have, but the power rating is the same, and I offer this link for a visual aid.
http://www.alliedelec.com/m/d/d8292cf7f11c601de4c651a61586c0eb.pdfAny thoughts other than laughing?
Like maybe a pair of 12AU7's, PP?
Thanks