If you're wiring it as an auto-transformer, it doesn't matter what other configurations it can do. It ends up one long coil with various taps.
OK, below is a terrible drawing I made in Paint. The black lines are the voltage vectors of the 208Y/120V system (with the neutral point grounded). The red line(s) are the single coil of the autotransformer. The red dots are connection points. And the blue lines and text are voltage measurements.
Hmm, I'm not sure what restriction you're thinking of (there may be one I'm unfamiliar with), but I don't believe it would apply to an autotransformer. But maybe in the second drawing, that red bent line would actually require two separate coils on two separate cores? Rather than one long coil on a single core? I'm not clear on that.
Cheers, Wayne
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