Correct wiring of transformer in a passive DI box

Hi everyone,
I'm building a passive DI box with parts that I've acquired throughout the years. I've identified both windings for proper phasing but my question is: What is the best way to send signal to the transformer for best response? Is it best to insert signal at the begining (the wire end of winding closest to center core of transformer) of coil wind and ground the finishing end of the winding or the other way around? Does it matter?
I always thought that the dots at the winding lead denoted the beginning of the wind but it looks like they are actually there for phasing purposes.
Thanks.
 
I would say as long as phase is maintained it doesn't matter since it's an AC signal, but when connected to the internal wind the other windings could act as a shield perhaps.
You could try each way & find out which sounds best, if You actually hear the difference.