i am new to shadow priest so dont full understand how the tick calculation works for dots.
also can we abreviate MB with orb procs to MB0, MB1, etc, where the number is the amount of orbs present on cast?
Napkin math with some slight testing gave me an avg MF tick @ 2084 and MB(No Orbs) hit at 4055. The cast times for me at 1263 Haste rating and 4pc t10 are 1.66 seconds and 1 second respectively.
3(2084)/1.66 = 3766.26 while 4055/1 = 4055 (~300dps difference, similar to the post above's claim)
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as stated there is a dps increase from sin and punishment, and from the dps gain via MB due to orb procs.
the probability that a 1 orb will proc during a MF should be:
p= 1(3*1)*(0.18*1)*(1-0.18) ^(3-1) = ~36%
the probability 2 orbs will proc is ~8%
and 3 orbs is 0.5%
using your numbers and assuming 0 orbs are present on cast MF should be ~723dps more than you calculated (based only on dps from orb proc chance)
~700dps for 1 orb present on cast
~486dps for 2 orbs present on cast
and 0dps for 3 orbs present
not only this but the goal is maximum dps so there are further calculations needed. casting MB before 3 orbs have proced is a dps decrease for MB (i.e. MB is ~4000dps and MB3 is ~8000dps, using your numbers). the question is then does delaying until MB3 outweight the dps lose from using MF when MB is higher dps than MF.
Shadowy Apparition
I think the basic concensus on the rotation may be slightly off due to the increase chance you can have of procing a shadowy apparition when moving while casting instants.
The actual dps calculations for this are too complicated for me so i'll stick to an attempt and proc chance calculations.
Over 18 sec my SW: P ticks 8 times (tick every 2.25 secs). I have assumed over 24 sec period (DP duration) it will only proc 10 times (rounding down).
I am using a 24sec period assuming DP will be refreshed within that time and there is a 100% uptime on SW: P
GCD is 1.5 sec (?), or 66% the time of a SW: P tick.
chance shadowy apparition will not proc
not moving at all:
0.88^10 = ~28%
moving for 1 GCD (i.e. DP refresh):
(0.88^9)*(0.28*0.66 + 0.88*0.33) = 0.88^9*0.4752 = ~15%
moving for 2 GCD in a row (1 SW: P tick definitely occurs withing the movement):
0.88^9*0.28^1 = ~8%
moving for 1GCD seperate and 2GCD's in a row with 24 sec period:
0.88^8*0.28*0.475 = 4.7%
(edit: changed the proc chances to correct values)
I personally have been playing around with rotation (moving on every instant) - SW: P, DP, VT, etc
then SW: D only when i refresh DP. not sure this is actually a dps increase.
is the improved DP hit greater than SW: D at more than 25%hp?
really i hope this math isnt too horrible can someone more skilled do it?