Right, good point. ProPhoto does indeed have encoded values that become imaginary on a theoretical basis. I do concede that point. However, those values are forced by any display system for viewing the image inbounds by one method or another. Hence they become discernible, albeit with the caveats I listed before to be met for that imaginary-turned-real color value to be useful and discernible in the image.
This seems to be yet another data point for completely separating number of colors from color gamut.
If I understand most of what has been discussed over these pages in terms of this
debate, that being, Adobe RGB has (or hasn't got) more colors than sRGB or X working space has more colors thay Y, it seems quite pointless to try to link the two.
1. As Mark wrote early on, AdobeRGB and sRGB are just color spaces, containers. They don't inherently have any information other than their specifications for primaries, white point, gamma. Until you actually have a pixel, there isn't any information. They seem to have a gamut volume.
2. For something to be a color, we have to be able to see it. How that color is presented to us plays a role too I'm sure. We have at least one well known working space that contains, is a container for numbers representing a '
color' we can't see. That alone would suggest it's rather pointless, perhaps impossible to apply a number of colors onto that color space.
3. Even in a working space or color space that falls within human vision, do all agree what constitutes a visible difference from one color value to the other? Less than 1dE? With what formula?
I'm probably missing other factors as well. But those three are significant enough to convince me the question can and should be answered: it depends on the image and on the encoding. Without either specified, the question is not appropriate and there can't be an answer anyway.
It's a bit like asking, how much does the state of New Mexico weight? We can precisely define and understand the size of the state in square miles or if we wanted a greater precision, square inches. But how could we come up with it's weight? How deep into the earth are will willing to go? Does this count people residing in the state and at what point do we decide how many people are in the state when we weight it? Does this count animals and buildings or just the weight of the stuff that makes up the first 10 inches of land? Or 10 feet? In the end, it is pointless and further, if what we really want to understand is the size of the state of NM, why even discuss another metric, it's weight?