The return of PACO

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Yes sir thanks I believe you but that's kinda outa my pay grade 

Anyhow I'm digging out another transformer because I need one with a center tap for the dual wave rectifier 

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Thanks guys sorry I should have mentioned when I tried the 208 and 240 NO VARIAC

Then I expect the 16V secondary voltage you measured was the correct one when applying 120V to the 208V primary winding.  The 3V reading will have been some kind of error.