General gemstone value?

I know that the value of a gemstone is based on a lot of factors, but say you had excellent specimens of several gemstones… which ones would be more or less favored?
So, for example, I would imagine a blue sapphire would be “better” than a smoky quartz. It’s hard to say if it’s truly better considering culture has placed value on gemstone resources and there really is no inherent value in them, but according to these cultural values how do different gemstones rank?

A short list of gemstones to consider:
Amethyst
Aquamarine
Citrine
Diamond
Emerald
Garnet
Opal
Peridot
Ruby
Sapphire
Tanzanite
Topaz
Tourmaline