Estoqueur's Composure Bonus, Cape, and Feet effect

[Yugl]

Gear                t(sec)   Value1        Value2        Value3        Value4        Value5
None (Haste)                 176           175.5         175           180           X+5/180
Cape                193      1.096590909   1.0997151     1.102857143   1.072222222   1.1
Cape+Feet (Self)    229      1.301136364   1.304843305   1.308571429   1.272222222   1.3
Cape+Feet           229      1.301136364   1.304843305   1.308571429   1.272222222   1.3
Cape+AF3(2x)        213      1.210227273   1.213675214   1.217142857   1.183333333   1.211111111
Cape+AF3(1x+Feet)   252.5    1.434659091   1.438746439   1.442857143   1.402777778   1.430555556
Cape+AF3(3x)        232      1.318181818   1.321937322   1.325714286   1.288888889   1.316666667
Cape+AF3(2x+Feet)   276      1.568181818   1.572649573   1.577142857   1.533333333   1.561111111
Cape+AF3(4x)        262      1.488636364   1.492877493   1.497142857   1.455555556   1.483333333
Cape+AF3(3x+Feet)   311      1.767045455   1.772079772   1.777142857   1.727777778   1.755555556
Cape+AF3(5x)        346.5    1.96875       1.974358974   1.98          1.925         1.952777778
Feet (Self)         211      1.198863636   1.202279202   1.205714286   1.172222222   1.2
Feet                211.5    1.201704545   1.205128205   1.208571429   1.175         1.202777778
Feet+AF3(1x)        232      1.318181818   1.321937322   1.325714286   1.288888889   1.316666667
Feet+AF3(2x)        254.5    1.446022727   1.45014245    1.454285714   1.413888889   1.441666667
Feet+AF3(3x)        287      1.630681818   1.635327635   1.64          1.594444444   1.622222222
AF3(2x)             193      1.096590909   1.0997151     1.102857143   1.072222222   1.1
AF3(3x)             211      1.198863636   1.202279202   1.205714286   1.172222222   1.2
AF3(4x)             238      1.352272727   1.356125356   1.36          1.322222222   1.35
AF3(5x)             319      1.8125        1.817663818   1.822857143   1.772222222   1.8

Experiment and Data
* Test done using haste on afk people at Upper Jeuno
* Values at the top denote values of normal haste (gearless); the difference between the log showing haste landing and it wearing was roughly 5s (Hence, the last column). The 176s is another value I got, but the majority was 175s.
* The important value to look at is the end value
* The bottom values, AF3(2x-4x) are WITHOUT feet
Findings

* Despite the clean 1.1 and 1.2 value for Feet and AF3+2, the duration when paired with these is not clean as it is with AF3+2
* Confirms the 10% Cape and 20% Feet+2 duration
* DENIES the +10%/AF3+2; Clearly, there is a 0.15 jump at 4x AF
* DENIES the +62.5% value on wiki for 5/5; Wiki suggests 62.5+20, but the value came to a clean 1.8 (Explained later)
* If it just ADDs 10% to the value, then why is it going from 1.8 => ~1.95 when adding the cape to the set bonus rather than 1.9? DENIES the Feet + Cape bonus being additive
* For the cape and feet, you multiply the effect, but for AF3, you add
*** EXAMPLE:
Hat + Legs = 1.1 increase
If you add the cape, it becomes 1.2*(1.1) = 1.21 which is closer to the value listed than 1.2
* Backtracking using this method, we get 10% bonus for the first two AF3+2 pieces and 15% per afterwards
*Numbers:
AF5x = 1.8
Feet = 1.2
Cape = 1.1

(AF3 Bonus)*(AF3 Feet) = 1.8
(AF3 Bonus)*(1.2) = 1.8
AF3 Bonus = 1.5 THIS IS THE CORRECT VALUE FOR THE TOTAL AF3 BONUS SET

Now lets use that and see if we get the 1.95 value when using 5/5 AF3 + Cape + Feet Bonus

(AF3 Bonus)(Cape Bonus + Feet Bonus) = 1.95
(1.5)(1+(.1+.2))=1.95
(1.5)(1.3) = 1.95
1.95=1.95!

[Byrthnoth]

So, using AF3x4 caused a 15% jump over AF3x3. Was the fourth AF3+2 you added body, or did it not matter?

[Yugl]

Fixed it Byrth, it all makes sense now.

[Mojo]

I believe that the effect from AF3+2 stacks as well as the feet bonus/cape, but they are stacked separately (feet bonus with cape, AF3+2 with AF3+2) and then multiplied. At least this is what your data indicates.

AF3	Multiplier
0	1.00
1	1.00
2	1.10
3	1.20
4	1.35
5	1.50

These being the values for the AF3.

[Byrthnoth]

Your math there at the bottom doesn't quite work out (1.2+1.1 = 1.3!) Other than that though, looks good.

So wait, is there a jump at 4x regardless of what the fourth AF3+2 is? If you just say 4x it leaves me unsure whether the same AF3 was always fourth.

This would indirectly imply that other AF3 follow a 1% -> 2% -> 3.5% -> 5% pattern for proc rate.

[Yugl]

2x-3x Pieces = +10% Duration per gear after the first
4x-5x Pieces = +15% Duration per gear after the third

.1+.1+.15+.15 = .5 so 50% duration bonus

Edit: Thanks for the fixes.

[Mojo]

Ah, posted after you were done editing your post. Either way, two people making the same conclusion => pretty evident

[Yugl]

Additionally, the Feet and Cape are multiplicative with composure.

Composure + Cape + Feet: 697 Duration; (697+5)/180 = 3.9

(3)*(1(.1+.2)) = 3.9
(3)*(1.3) = 3.9
3.9=3.9!