CIELAB colour-wheel picker

CIELAB with a D65 white, converted to sRGB with culori (lab65). Drag on the figure to move the wheel's centre. Use the sliders, or type values in the boxes next to them, for exact settings.

The wheel as participants see it (mid-grey background). Striped segments are out of gamut and would be clipped:
The wheel's colours, 0° → 360° (out-of-gamut colours are shown clipped):

Config for your experiment