rewind with a couple of shields and that res curve will move up to 40 k hz,
just a prediction but give it a try,
you do not need copper foil, just use magnet wire and leave one end open,
plot the low end until the xfmr craps out, we like to see where it drops 3 db,
2 hz? 4 hz? 16 hz?
you can trade some bass for a smaller core, this would lower the leakage C.
use smaller wire,
or try sec-pri-pri-sec
or try pri-sec-pri, use two windings in parallel for each pri, one on inside of coil, one on outside, this will improve your leakage L.
most 600/600 transformers are about 1200 turns for pri and sec, 2 shields, 10 to 30 henries, and flat to 80 k.
you need a hi-octane core for this, only want 2 or 3 layers per section,
hmmm.
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OK, i got it,
for a 600:600,
wind 960 turns bi-fi on that core,
120 turns per layer, 8 layers,
no need for layering, just pri and sec wires getting wound side by side, at the same time of course,
so "pull two" as they say in the xfmr biz,
you should have much lower leakage, in the micro henries, and there will be no bump, dcr should be about 65 ohms each if you use #33. maybe 18 henries with the juiced up core,
should be flat from dc to daylight,