Running 6V into a 120V Variac may be safe for the Variac, but could severely strain a little train transformer (the idle current of a large Variac may exceed the max current of the toy transformer).
As Slucky says you can adjust the INput to the small transformer, get the same effect, safer.
That's what I was wondering, if I had a mystery OT to test, the unknown winding ratio could be large,
The first small 12V TX in the chain, lowered in voltage by the variac, into the OT on test, could end up with a large current induced on the end of the chain,
Sluckey's method must be safer as it uses less voltage on the OT secondary to then measure the primary,
My method was badly thought out, trying to put 1V on the secondary 'through' the primary, and only being able to run 12V through the small transformer at the start of the chain, you can only put up to 12V on the OT primary which may not get the desired 1V on the secondary to make the maths easier,
Plus I'm still a bit scared of this variac, [As PRR mentioned the street mains TX's, years ago at work, I have seen someone take a HUGE shock from a power substation transformer, not nice, blisters raised up inches, hair gone, clothes on one side gone... amazingly still walking around with wisps of smoke, it was very nasty...]
Just dont want to slip with the dial and run higher AC voltage to something not rated for it, although the windings on the primary are hit with 300v of DC in some valve amps, I was unsure what hundred of AC volts could do to a little transformer
I'm going to improve this variac soon, into a testbed, current limiter bulb, RCD on the outputs etc