This was an off-list reply, putting it back on-list..
Which, in turn, brings me to suggest that what you _actually_ want is to build a custom profile that uses the actual illuminant of the viewing conditions (ArgyllCMS can do this) coupled with _perceptual_ intent. Do that, and, to the limits of your workflow, the print will visually match the monitor.
I’m not looking for a visual match. That’s what normal ICCs do. What I’m looking for is this: Let’s say we have 18 equidistant values (actual patches in a target) from 0-255 in Photoshop. These would be: 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 Let’e say our dMax is L* 14.45 on Matte Paper and our dMin (paper white) is L* 96.5 So, Photoshop value of 0 of would be L* of 14.45 and Photoshop value of 255 would be L* of 96.5 What I’m talking about is simple. Is there a consistent way to calibrate with an ICC such that numbers above print like this when measured with a spectro (approximately as the real values have been rounded to 2 decimals): L* 14.45 L* 19.28 L* 24.11 L* 28.94 L* 33.77 L* 38.6 L* 43.43 L* 48.26 L* 53.09 L* 57.92 L* 62.75 L* 67.58 L* 72.41 L* 77.24 L* 82.07 L* 86.9 L* 91.73 L* 96.5 best, Walker