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Yes, we're familiar with the clutches and gears, but who really understands the pressures, fluid circuits, and what governs the shifting?
Think of piston clutches and band holding forces being controlled by two pressure pumps that give you different (differential) pressures. I.E., the difference in pressures determine shift points.
Valving, also controlled by differential pressures and gear selector position, control the amount of fluid pressure (Force/area) to the piston clutches and bands.
With electronic control, solenoids and other actuators simply "tweak" the valving and pressure to the actuators.