Discussions with a fellow guildie and friend Derpfu lead to this post (he also double checked my maths).
Exploring
spirit as disc
With no rapture
First let us consider the relationship
between mp5 and spirit from gear.
Mp5
|
Spirit
|
Intellect
|
13162 |
12690 |
14540 |
12534 |
11578 |
14540 |
12534 |
11578 |
13325 |
12242 |
11061 |
12401 |
Simply from looking at the table, we
see that intellect has no impact on mp5.
Assuming that mp5 is proportional to
spirit, we can say (where c=some constant of proportionality)
change in mp5 = c * change in spirit
Plugging the values in c = 0.565
And base:
We can conclude that
Total mp5 = base mp5 + (0.565*spirit)
And using these values :
6125 = base mp5 + (0.565 * 222)
base mp5 = 6000
Total mp5 = 6000 + (0.565*spirit)
|
Rapture
Rapture returns 200% spirit, with a 12s
cooldown.
PW:Shield costs 18300 mana.
On proc, rapture returns 2*spirit mana
- 18300
Mana per minute = n * (2*spirit –
18300)
Mp5 = (n/12)(2*spirit - 18300)
Utilizing rapture n times a minute
(where n ϵ [0,5] ) gives
an equivalent mp5 of:
mp5 = (n/12)(2*spirit -18300)
Mp5 from rapture = (n/6)(spirit – 9150)
|
Combining Rapture and Passive Regen
Total mp5 = 6000
+ (0.565*spirit) + (n/6)(spirit-9150)
Total mp5 = (0.565 + n/6)spirit + 6000-1525n
|
Spirit from gear as a human.
Total mp5 = 6000
+ (0.565*1.03*spirit from gear) + (n/6)(1.03*spirit from gear –
9150)
Extra mp5 for
human racial = (0.565 * 0.03*spirit from gear) + (n/6)(0.03* spirit
from gear)
Extra mp5 for human
racial = (0.005)*(3.39+n)*spirit from gear
|
Extra mp5 from being gnome.
Mp5 = base +
0.565*spirit
base = 6300
As this
correlates with the gnome racial *1.05, we conclude that the base mp5
is related to the mana pool size.
Base mp5 = 0.02
* base mana pool
and for a gnome
the base mana pool is 1.05 times bigger, and gnomes get an
additional:
Extra mp5 for gnome racial = 0.05*300000*0.02 =300
|
Combining the two, we have:
Thus we have:
mp5 = 6000*mana pool modification
+(0.565*spirit modification*spirit from gear) + (n/6)(spirit
from gear*spirit modifier – 9150) |
Human |
Mana pool mod = 1 |
Spirit mod = 1.03 |
Gnome |
Mana pool mod = 1.05 |
Spirit mod = 1.00 |
Meta gem |
Mana pool mod = 1.02 |
Spirit mod = 1.00 |
Now let us consider mindbender:
Mindbender
returns 1.46% mana per attack, and attacks 10 times before despawning.
This gives us a
total of 14.6% max mana.
(nb: this does assume you can cast mindbender on cd, ie that the boss doesn't go immune).
mps = 0.146 * 300000*mana mod * (1/6)
Finally, a complete equation for
the mp5 as disc:
mp5 = 9650*mana pool modification
+(0.565*spirit modification*spirit from gear) + (n/6)(spirit
from gear*spirit modifier – 9150) |
Human |
Mana pool mod = 1 |
Spirit mod = 1.03 |
Gnome |
Mana pool mod = 1.05 |
Spirit mod = 1.00 |
Meta gem |
Mana pool mod = 1.02 |
Spirit mod = 1.00 |
Using this, we
can discuss the two main meta gems healing has to offer:
Revitalizing Primal Diamond |
+432 Spirit |
Ember Primal Diamond |
216 Intellect and 2% max mana |
I'm a human, which meta should I
use?
Mp5 Revitalizing = 9650
+(0.565*1.03*(spirit from gear+432)) + (n/6)((spirit
from gear+432)*1.03 –
9150)
|
Mp5 Ember = 9650*1.02
+(0.565*1.03*spirit from gear) + (n/6)(spirit
from gear*1.03 –
9150) |
And the
difference between the two can be given by taking ember away from
revitalizing:
Mp5 (revitalizing – ember) = -9650*0.02 + (0.565*1.03*432) +
(n/6)(432*1.03)
= 251.4024 – 193 + (74.16n)
= 58.4 + 74.16n
|
And thus we see
that the revitalizing pulls ahead even with no rapture a minute - the more rapture you do,
I'm a gnome, which meta should I
use?:
Mp5 revitalising = 9650*1.05
+(0.565*(spirit from gear+432)) + (n/6)((spirit
from gear+432)–
9150)
|
Mp5 Ember = 9650*1.05*1.02
+(0.565*spirit from gear) + (n/6)(spirit
from gear–
9150) |
The difference
between the two:
Mp5 (revitalizing – ember) = -9650*0.02
+0.565*432 +(n/6)(432)
= 51.08 + 72n
|
Showing that for
a gnome the revitalizing still leads, although in this case with less
margin and less contribution from rapture.
Comparing gnome and human racials
(or, I just made a priest, should I be human or gnome?)
Mp5 as a human =
9650 +(0.565*1.03*spirit from gear) + (n/6)(spirit
from gear*1.03 – 9150)
Mp5 as a gnome =
9650*1.05 +(0.565*spirit from gear) + (n/6)(spirit
from gear– 9150)
mp5 (human –
gnome) = -0.05*9250 + (0.565*spirit from gear * 0.03) + 0.005n*spirit
from gear
Mp5 = 0.005n*spirit from gear + 0.01695 * spirit from gear –
0.05*9650
= (0.005n + 0.01695) * spirit from gear – 0.05 * 9650 |
To make the two
equivalent, we see:
0.03195*spirit from gear = 0.05*9650
spirit from gear = 15101.7
(3 rapture a minute) |
(0.005n + 0.01695)spirit from gear = 482.5
spirit from gear = 482.5/(0.005n + 0.01695)
(n rapture a minute) |
So you would
need 15.2k spirit from gear & flasks to make being human give
more mp5 than being gnome as a disc priest, assuming they use rapture
3 times a minute.
The more we
rapture, the less spirit we need from gear : 11501.79 spirit from gear
is needed to make human better than gnome at 5 rapture a minute
(literally rapture on cd).
Of course, this
does not take into account the human racial “trinket”, which is
incredibly useful in pve boss encounters. I list a few:
get out of
“amber prisons” on Windlord
remove fear
in Grand Empress
Remove
pinning arrow on Spirit Kings