The ridges give it bite so it doesn't slip.
This means only the thicknes of each ridge is the adjustment difference rather than a smooth adjustment curve.
They need this ridge to remain in place without over tightening the clamp
OP has not been back for days, so clearly not really interested.
I'd expect the "bottom part of the clamp" to be both curved and ridged: in the image it looks straight.
Let's see an image of the actual broken clamp, though YS has offered an answer, independent of the actual (single bolt)seat clamp's design.
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