The Black Mage Rotations

[Farmer]

Flare Rotation 1 (With Mages Ballad) = 279.9 - 360.3 dps <<< Result
Blizard 3 > Fire 3 > Flare > Repeat
Cast times: 1.66 fire 3 + 1.90 flare + 1.66 bliz 3 = 5.22s + (occasional mana wait between bliz 3 and fire 3 is 0 - 1.5s )
full rotation total time = 5.22s (75% of the time) - 6.72s (25% of the time)
--
Flare Rotation 2 (Without Ballad) = 190.1 dps <<<Result
Blizzard 3 > Fire 3 > Flare > Repeat
Cast times: 1.66s fire 3 + 1.90s flare > Transpose 3s downtime > 3.33s bliz 3
full rotation total time = 9.89s (100% of the time)
--
Flare Rotation 3 (Without Ballad, Use Fire 2 three times before ending with a flare) = 225.6 dps <<< Result
Blizzard 3 > Fire 3 > Fire 2 > Fire 2 > Fire 2 > Flare > Repeat
Cast times: 1.66 bliz 3 + 1.66 fire 3 + 1.42 fire 2 + 2.85 fire 2 + 2.85 fire 2 + 3.80 flare
full rotation total time = 14.24s (100% of the time)
--
Dps tables used
Flare = 1158
Bliz 3 = 354 (after astral fire III)
Fire 3 = 369 (after astral ice III)
Fire 2 = 444 (with astral fire III)

[PsychologyPhD]

Flare Rotation 1 (With Mages Ballad) = 279.9 - 360.3 dps <<< Result
Blizard 3 > Fire 3 > Flare > Repeat
Cast times: 1.66 fire 3 + 1.90 flare + 1.66 bliz 3 = 5.22s + (occasional mana wait between bliz 3 and fire 3 is 0 - 1.5s )
full rotation total time = 5.22s (75% of the time) - 6.72s (25% of the time)
--
Flare Rotation 2 (Without Ballad) = 190.1 dps <<<Result
Blizzard 3 > Fire 3 > Flare > Repeat
Cast times: 1.66s fire 3 + 1.90s flare > Transpose 3s downtime > 3.33s bliz 3
full rotation total time = 9.89s (100% of the time)
--
Flare Rotation 3 (Without Ballad, Use Fire 2 three times before ending with a flare) = 225.6 dps <<< Result
Blizzard 3 > Fire 3 > Fire 2 > Fire 2 > Fire 2 > Flare > Repeat
Cast times: 1.66 bliz 3 + 1.66 fire 3 + 1.42 fire 2 + 2.85 fire 2 + 2.85 fire 2 + 3.80 flare
full rotation total time = 14.24s (100% of the time)
--
Dps tables used
Flare = 1158
Bliz 3 = 354 (after astral fire III)
Fire 3 = 369 (after astral ice III)
Fire 2 = 444 (with astral fire III)

I'm guessing your flare rotation 3 is meant for aoe?

[O-Deka-K]

Cast times: 1.66 fire 3 + 1.90 flare + 1.66 bliz 3 = 5.22s + (occasional mana wait between bliz 3 and fire 3 is 0 - 1.5s )
full rotation total time = 5.22s (75% of the time) - 6.72s (25% of the time)
--
Cast times: 1.66s fire 3 + 1.90s flare > Transpose 3s downtime > 3.33s bliz 3
full rotation total time = 9.89s (100% of the time)
--
Cast times: 1.66 bliz 3 + 1.66 fire 3 + 1.42 fire 2 + 2.85 fire 2 + 2.85 fire 2 + 3.80 flare
full rotation total time = 14.24s (100% of the time)

You didn't take GCD into account. Even though your cast time is (for instance) 1.66s, you still have to wait until the GCD is up before casting your next spell. I'm guessing from your Flare time that your GCD is 2.38s.

This makes your theoretical DPS:
1. 217.7 - 263.4
2. 169.6
3. 193.1

That's assuming your mana tick wait times are correct. Also, you should probably add a bit of time between buffs, because if you spam too fast you run the risk of casting before the correct buff is up.

[Synovius]

Flare Rotation 1 (With Mages Ballad)...

We appreciate the effort here, Farmer, but we've already shown Fire III ==> Flare ==> Transpose ==> Blizzard II ==> Blizzard II to be the highest theoretical AoE DPS. As for ST, I'm very hard pressed to believe that fitting Flare into the rotation is a DPS gain at all considering it takes you to 0 mana meaning you have to wait on Transpose to give you a tick before you can start your rotation again.