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The tourbillon system was made to compensate the Earth’s gravitational force by mounting the escapement in a revolving cage. It gives the watch a better accuracy. This complication is known as one of the most difficult to make.
Minute repeater watches ring whenever you activate the pusher (contrary to chimes). The most complicated ones can ring hours, quarters and minutes.
Just like the tourbillon, the flying carrousel was made to compensate the earth’s gravitational force to give watches a better accuracy.