The best BLM AoE rotation I've seen is

Quelling Strikes > Fire 2 > Fire 2 > Raging Strikes > Fire 2 > Fire 2 > Swiftcast > Flare > Convert > Flare > Ether > Flare > (begin looping block)

Looping block: Transpose > Fire 3 > (Fire 2) > Flare > ...
Fire2 being used dependent on when the MP tick occurs in Umbral phase (if early, use Fire 2 prior to Flare).