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I haven't thought about it too hard, but it's possible that flooring both components separately could account for the strange "multiple of 4" rounding.
Don't know, if this is relevant or belongs here, but while building my warrior spreadsheet, I noticed the following:
When calculating the min/max damage from a offhand weapon, the attack power used in this calculation is being rounded to the next multiple of 4.
Basic formula (without talents for simplicity):
oh_min_dmg = (attack_power/14*oh_speed + oh_min_weapon_dmg) * 50%
387, 388 or 389 attack power will lead to the same value (determined using UnitDamage("player")).
Mainhand damage doesn't seem to be affected this way
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