How to Dragoon per Second: A DPS Paradigm

[HaelseMikiro]

As far as the loop thing it means (as far as looking at purely gcds) that you have to start at ht and end at the last skill before the next ht, then divide by the number of skills. So, using your example with a 2.4 sec gcd and dot calculated separately:
HT-IDC4-TTT4-TTT4 = (180+690+290+830+290+830+290+350 dot) = 3750 potency over 13 gcds for an average of 288.4615 potency/gcd

HT-IDC44-TTT44 = (180+690+290+290+830+290+290+308 dot) = 3168 potency over 11 gcds for an average of 288 potency.

You also need to consider how well each rotation lines up with your oGCD buffs. For example, with the 11 hit combo, you can use Life surge on every second Full Thrust with only minimal activation delay. Additionally, the 13 hit combo actually takes 31.2 seconds to execute at 2.4 sec GCD, meaning you have 1.2 seconds of time where your disembowel falls off and 1.2 secs where heavy thrust falls off. Even if you're executing the gcd before the debuff falls off, that means that roughly 7.7% of your autos and possibly some of your oGCDS aren't being buffed by one or the other.

Without looking too deeply into how all of the oGCDs line up, I'd say that the 0.16% dps loss from the double finisher combo is worth it for the extra safety and the slight increase to AA damage.

Edit: Also to add, as GCDs get faster, the double TTT rotation actually pulls ahead a little further, so once you get to the point where gcds are lower than 2.31 secs (the point where the rotation takes 30 seconds or less) the double TTT might be the stronger option depending on latency.

I like your maths and agree with the reasoning for why the 11 hit combo would be more convenient vs having Disembowel not buffing itself, HT not buffing itself, and losing out on buffed autos, but I think looking at a scenario with a skillspeed other than 2.4 will be a huge game changer.
If DRG has an option to create a 0 Sks build, a 2.5s GCD will have the 11 hit combo look like this:
HT-IDC44-TTT44 = (180+690+290+290+830+290+290+320.8 dot) = 3180.8 potency over 11 gcds for an average of 289.16 potency.

This would defeat even the 2.3 GCD rotation with 0 buff loss. And it would have the advantages of ~115 less TP/min consumption, less buttons pressed, and not having to sacrifice 500 points of Det/Crit/DHit for Sks to get there. That last one is probably the most important. Always have to keep in mind that more potency per global does not necessarily = dps increase, as that speed comes at an opportunity cost in other stats.