Constructive and destructive interference of light waves is the reason why thin films, such as oil films, soap bubbles, or patina on metals and glass show colorful patterns. This is known as thin-film interference, because it is the interference of light waves reflecting off the top surface of a film with the waves reflecting from the bottom surface. To obtain a nice colored pattern, the thickness of the film has to be on the order of the wavelength of light.

In this example, light reflecting from the bottom surface travels an extra distance of half the wavelength of green light. Green light reflected from the top surface interferes destructively with green light from the bottom surface; in other words, all the green light and most of the light in the middle of the visible spectrum, is transmitted. Some red and violet light is reflected, so the patina looks purple.
The "color" of the toning is directly due to the thickness of oxidation on the surface, and over time these colors will change as the coin continues to oxidize. That is something to consider if you spend the extra money for a particular toning effect.
