Silver ring with emerald and engraved inner band

I lost my silver ring with an emerald yesterday around 3pm outside the Scott Monument on Princes Street, Edinburgh. It's a slim 6mm band, a bit worn, with a small crescent engraving on the inside and a tiny chip in the emerald setting. The ring is stamped S925 near the inner edge. It was a gift from my grandmother and means a lot to me, so I’m really hoping someone picked it up and can return it. I first noticed it missing when I walked past the tram stop near Waverley Station and checked back near the Scott Monument, but it wasn't there. If you found it, I’d be grateful to hear where it is.