All color spaces have the exact same number of available tones (as long as bit depth remains the same). ProPhoto becomes even worse when you consider that many tones in ProPhoto are not visible to humans. That is the same as banding - ProPhoto will have more than sRGB. The people in the ProPhoto desert will have to travel farther to get to the nearest tone, and there will be more people ending up at each oases/tone when they all arrive than there will be in the sRGB desert. Each person needs to go to the nearest Oases/tone. Now lets say there are people that are scattered around the center of each desert (but not the outer regions). Since ProPhoto is larger than sRGB, the Oases/tones in ProPhoto are spaced farther apart from each other than in the sRGB desert. Within each desert there are 256 oases, called tones, that ares spaced equidistant from each other.
The other desert called sRGB is smaller than ProPhoto desert. The larger gamut color spaces must by definition cause more banding than a smaller gamut color space, because the tones must be spread further apart from each other. Therefore the tones in the (continuous tome) image that must map to an actual color space tone must travel farther to the nearest tone, and more tones will end up at the same tone. As I explained before, the number of discrete available tones in a larger color space must be spaced further apart than a color space with a smaller gamut color space (because both color spaces contain exactly the same number of total tonal values). Besides, LR internally uses something similar to ProPhotoRGB so I'd like to see some references on it. Is there a reference to this ProPhotoRGB may cause banding to appear? If any post processing is to be done, then one should use the widest Gamut possible.
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