I want to know the formula to change a single color to a target color by hue saturation based on HSB

Question

I would like to know the formula to change a single color to the desired color based on the HSB value in the hue saturation adjustment layer.
For exampleH0S2B97
to
H15S14B86
If you want to change it to
Hue (H): target 15 - original 0 = +15Saturation (S): 14 of target - 2 of original = +12Lightness (B): 86 of target - 97 of original = -11
would result in a color that is less saturated than the target color.I would appreciate it if you could tell me if you know the formula to calculate how much to change the hue saturation lightness from the HSB value to the target color.
Thank you in advance.

Stephen Marsh · Answer

Photoshop hasn't had an HSB colour mode for a long time (there were plugins), so it is now a mathematical representation/subset of RGB – and RGB results depend on the ICC profile assigned to the image.

The closest that I could get in sRGB was as per the attached image:

Using color samplers and the info panel, with the adjustment layer parameters:

H: +15

S: +87

L: -16

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