Woody,
What you write might well be theoretically correct, however there's no substitute for practical, empirical evidence. By 'pure yellow' I mean the yellow of the ink in your yellow cartridge and/or (R=255 + G = 255) on the monitor. The 'purest', most saturated yellow you can get is when an RGB yellow (255,255,0) on the monitor is translated to 100% yellow ink on the papaer. (I know theoretically there are imaginary colours that are saturated beyond the capability of human perception, and also dyes and inks that are more saturated than the ones you may be using in your printer. But those are separate issues).
If you are working in the Adobe RGB colour space, it's impossible to get the printer to print 'pure' (ie. 100%) yellow as a separate, discrete colour. It's noticeably tainted with cyan, ie. it's a slightly greenish yellow. This fact can be graphically demonstrated by breaking open a spent cartridge and spilling or thinly painting the yellow ink on whatever paper you use. If you then print out the most saturated yellow you can create in PS (255,255,0) from the ARGB colour space and compare it with the yellow ink you painted on the same type of paper, you will see what I'm talking about. The Adobe RGB yellow is slightly green by comparison. Printing the same yellow that's been asigned the ProPhoto colour space produces a yellow that's the same as the pure yellow ink that was painted.
What's more, the on-the-fly conversions from RGB to CMYK that the info palette shows, reflect these differences, ie. 255,255,0 = 97% yellow + 9% Cyan for ARGB and 100% yellow only, for ProPhoto. The percentages might or might not be completely accurate, but they seem about right.
A similar situation arises when comparing fully saturated Green (0,255,0)from sRGB and Adobe RGB. The sRGB green is quite dramatically yellower than the ARGB green on the print, but this is obvious only when camparing the two colours side by side. Again, the on-the-fly conversions to CMYK reflect these observations, ie. 0,255,0 in sRGB = 63% Cyan + 100% Yellow. 0,255,0 in ARGB = 97% Cyan + 100% Yellow.
Another dramatic example; if one selects from the Swatches the colour described as 'pure Cyan', you will find that in sRGB, 0,174,239 converts to Cyan 69% + Magenta 14%. In Adobe RGB the same 0,174,239 converts to Cyan 92% + Magenta 3%.
The above are just a few practical examples of the differences between colour spaces. In many situations these differences might be irrelevant. If the image doesn't contain any truly saturated Cyans or Greens, for example, or shades that are dependent on those saturated colours as a component, the differences between sRGB and ARGB in the print would not be noticed.
On the other hand, Mother Nature can provide some very saturated colours; the greens of leguminous plants that manufacture their own nitrogen; a freshly fertilised lawn or the myriad of brightly coloured flowers, many of which might have colours well outside the gamut of sRGB.
By the way, in case any of this is confusing, I'm not referring to any conversion from an RGB colour space to a CMYK colour space such as SWOP. As far as I understand, the printer software does its own conversion and assigns a particular combination of CMYK percentages for each RGB value it is presented with, and that combination will depend I guess (I'm no authority on this) on the colour space of the source image and the printer/paper/ink profile that's being used.
I've assumed the CMYK percentages on the right side of the info palette are giving at least an indication of what those CMYK equivalents are in respect of the different colour spaces. I could be wrong, though
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