Methodology
Compound crown angle geometry & setup boundary
Miter magnitude
atan[sin(spring angle) ÷ tan(corner angle ÷ 2)]
Compound miter-table rotation magnitude for crown lying flat.
Bevel magnitude
asin[cos(spring angle) × cos(corner angle ÷ 2)]
Blade-tilt magnitude for the same flat-cut setup.
Inside-corner orientation
left piece: miter right / bevel left; right piece: miter left / bevel right
Directions assume top edge of crown against the fence.
Outside-corner orientation
left piece: miter left / bevel right; right piece: miter right / bevel left
The direction pattern reverses for the outside corner.