Short version -
Arrow shows too stiff, raise BH.
Arrows shows too weak, lower BH.
Long version -
Easton Tuning Guide, 2nd edition
Brace Height
For recurve bows, another way of altering arrow spine is
with the brace height. By increasing or decreasing the
distance from the bowstring to the pivot point of the grip,
the dynamic spine of the arrow can be made slightly
weaker or stiffer. Increasing brace height will make the
arrow shoot weaker, and decreasing brace height will
make the arrow shoot stiffer.
Brace height affects arrow spine by increasing or
decreasing the amount of energy delivered to the arrow
at the moment of release. Raising the brace height
(shortening the bowstring) compresses the limbs,
increasing stress (prestress or preload) in the limb material.
The more preloading of the limbs, the greater the
actual bow poundage at full draw. The reverse is true
when lowering brace height. A lower brace height
(lengthening the bowstring) reduces the prestress in the
limbs and reduces bow weight at full draw.
However , raising brace height produces some small loss
in arrow velocity as the slight increase in draw weight
does not equally compensate for the reduction in the
bow's "power stroke". When the power stroke is reduced,
the amount of time the arrow stays on the bowstring is
also reduced, in turn, decreasing the length of time the
arrow has to absorb the bow's energy.
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It does not mention the offset effect, IMHO this also has a significant influence.
Might not see much change in arrow flight when changing BH on centre or past-centre cut riser.