Cleaning Silver with Baking Soda

I just purchased some vintage Mexican sterling silver jewelry at an auction. They are beautiful pieces but a little tarnished. Since they're vintage silver I didn't want to use any harsh chemicals so I decided to try baking soda. The results were incredible! All I did was wet them in a baking soda and water mix then rubbed them with more baking soda using my fingers. I rinsed and polished with a soft cloth. Amazing! I'll never buy silver cleaner again!!