The balance and escapement mounted in a turning cage, so that gravity’s effect on the rate averages out.
A pocket watch spends its day upright in a waistcoat pocket. In that position gravity pulls the balance and its spring slightly off centre, and the watch gains or loses a little differently in every position it is carried. Breguet’s answer, patented in 1801, was not to fight gravity but to average it out.
The price is complexity and energy. The cage is among the hardest assemblies in watchmaking to make, adjust and balance, and turning it takes power that would otherwise go to the escapement. On the wrist, which changes position constantly, its benefit to timekeeping is disputed.
Breguet sold his first tourbillon in 1805 and made about thirty-five. The device stayed a rarity for a century and a half, then returned from the 1980s as a showpiece of fine watchmaking, which is mainly what it is today.