I'm sorry, I read Ring, and I made the incorrect assumption that you were referring to the phone.
I have a Ring devices as well, and can help with that. If you open the Ring app on your device, in the upper left corner, tap on the 3 lines to open the menu. Tap on Devices, then select your Doorbell. Scroll down and select Device Settings. Go to Alert Settings, then App Alert Tones. There is a setting for the doorbell ring, and you can also see a selection for Motions, tap on that and see the selection. I've been out at the store as well and heard the Windchimes, which is the default tone for Motions, and have seen more than one individual reach for their device to check to see if that was their notification. This should help you. I'm sorry I misunderstood your original question.