Hertz 60 to 50 Question ??

I recently bought a tube tester. It is a 110-volt 60 Hertz model. I live overseas and am planning to use it with a step-down transformer from 220 input to 110 output. Nevertheless, since the electricity runs at 50 Hertz where I live this could cause problems. Does anyone have experience with using audio or other equipment rated at 60 Hertz in electrical systems that run at 50 Hertz?
I have used (and still use) in 50 Hz a ss amp, ss preamp, cd player, tube amp and tube preamp designed for 60Hz and never had an issue. Don't know if a tube tester would be any different, but for me it was a non issue.
Thank you for letting me know. Is your equipment actually 60Hz or 50/60Hz? Transformers are supposed to heat up using 60Hz equipment on 50Hz. Have you experienced this?
My electronics were purchased in the US, so 110V/60Hz. Then I moved to a 220V/50Hz country.

Heating up? I don't know...nothing so significant that I would notice, that's for sure. Right now my tube amp and pre do heat up, of course. But is that more than if they were running at 60Hz? No idea.