How's my BLM Rotation?

[Uninstall]

T2: 50 Potency, 2.75 sec/cast

T2 is 3 second/cast, and you should count the dot potency as well. So it's 50+35*7=295.

B3>T2>F3 is 8 Seconds, 446 Potency; 55.75pps(from now on referred to as "Rotation 1")
T2>F3>F1 is 8.75 seconds, 540 Potency; 61.71pps(from now on referred to as "Rotation 2")

Rotation 1 lasts for an additional 0.75 seconds. So it's 9 as well. The "half speed" F3 may be half of 3.5 second cast time, but you still have to wait a whole GCD before using the next spell.

Lets do a full rotation

Rotation 1 allows for 5 F1. An additional 1350 potency over 12.5 seconds. (1350+446)/20.25 = 88.69pps

Rotation 2 only gets 4 F1, and already used 1 in the opening. So it ends its first rotation w/ 3 additional F1 and an additional 7.5 seconds
(540+810)/16.25 = 83.07

The change would be rotation 1 now does 2019 potency over 21.5 seconds, which gives you 93.91pps.
Rotation 2 should instead be either T1>F3>F1>F1>F1>F1 or F3>F1>F1>F1>F1. The first one gives 1540 potency/16 seconds=96.25pps, and the second is 1300 potency/13.5 seconds=96.30pps. The reason for using T1 instead of T2 is because the rotation is shorter so you won't have a chance to use the full duration of T2.

@Waliel
Now if you add in Firestarter, it becomes a bit more complicated. For all the middle Fire 1s, it is 0.6*(150*1.8)+0.4*(220*1.8+150*1.8)/2, giving you an average of 295.2 potency/GCD, the very last one is 150*1.8+0.4*(220*1.4-220*0.7) since triggering that Firestarter allows your next Fire 3, the one under Umbral Ice to go from a 0.7 multiplier to 1.4.

So if we really wanna account for Firestarter, Rotation 1 becomes 2181.4 potency / 21.5 seconds = 101.46 pps. Rotation 2 without Thunder is 1437.2 potency over 13.5 seconds = 106.46.

Anyways, I don't see how I was being rude. I would say it's considered more rude to pass off things as facts when the only thing you have to back it up is "my numbers seem fine".