Spent some time working on matching transformer baluns with @DD8SF today and after winding all kinds of them only to run into far too much inductance for 6 meters, they suggested a parallel coax balun like Figure 24.72 from the Antenna Book, with four turns of the parallel lines around an FT240-43 core. (RG-174 was the only coax I had that was thinner than the "400MAX" I usually use.)

Unfortunately, as it stands, the pictured setup still has an SWR that's too high. :(

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