Judging quality
Bands should be flat and parallel rather than concentric. Much commercial sardonyx is dyed banded agate, which shows unnaturally crisp color boundaries.
Chalcedony
Straight-banded chalcedony alternating reddish-brown sard with white — the classic cameo material, because a carver can cut through the pale layer to reveal the dark one beneath.

Bands should be flat and parallel rather than concentric. Much commercial sardonyx is dyed banded agate, which shows unnaturally crisp color boundaries.
Durable; ordinary cleaning.
Roman signet rings in sardonyx were the standard of legal identity, and the Gemma Augustea is carved from a two-layer piece.
Cultural history, recorded as tradition rather than as medical or scientific claim.
See it in person
Both rooms are open six days a week, and there is always someone happy to pull pieces out of the case so you can compare them under the light.