Talk:Command Cards/@comment-10691202-20161028092550/@comment-31834906-20170723012644

I also did some testing on the damage formula; I wanted to know if same-type buffs were additive or multiplicative. A lot of sources say multiplicative, but it didn't quite seem right, given the formula in the Beast's Lair post. Turns out, it *isn't* multiplicative. Same-type buffs (e.g. two Atk Up) are always additive, though different types of buffs (e.g. Atk Up and Buster Up) are multiplicative with each other.

Here's the test data: +75% (Gilles NP2), +25% (Hans Overcharge2), and +46% (lv9 Instant Enhancement from default mystic code) Atk buffs on Saber Gilles using Buster1 (200% damage). Gilles has 4751 Atk and Mad Enhancement EX (+12% Buster damage). Saber Gilles is Man attribute attacking a Rider Wyvern with Earth attribute (0.9x damage).

Observed damage is 5210. Expected damage if buffs are additive is about 5420, +/- 10%. Expected damage if buffs are multiplicative is 7036, +/- 10%. This is within the projected window for additive Atk buffs, but well outside the projected window for multiplicative Atk buffs.

Therefore, same-type buffs must be additive.