Code:
Let a, b, c, and d be the four party members' DPS values.
Extended Balance, without Celestial Opposition
(a DMG/s + b DMG/s + c DMG/s + 1.2 d DMG/s) × 30 s (Balance)
+ (a DMG/s + b DMG/s + c DMG/s + 1.2 d DMG/s) × 30 s (Extended)
+ (a DMG/s + b DMG/s + c DMG/s + d DMG/s) × 10 s (No buff)
= 70 (a + b + c) DMG + 82 d DMG
Light Party Expanded Balance, without Celestial opposition
( a DMG/s + b DMG/s + c DMG/s + d DMG/s) × 30 s (No buff)
+ (1.1 a DMG/s + 1.1 b DMG/s + 1.1 c DMG/s + 1.1 d DMG/s) × 30 s (Expanded Balance)
+ ( a DMG/s + b DMG/s + c DMG/s + d DMG/s) × 10 s (No buff)
= 73 (a + b + c + d) DMG
= 73 (a + b + c) DMG + 73 d DMG
Extended Balance, with Celestial Opposition
(a DMG/s + b DMG/s + c DMG/s + 1.2 d DMG/s) × 30 s (Balance)
+ (a DMG/s + b DMG/s + c DMG/s + 1.2 d DMG/s) × 30 s (Extended)
+ (a DMG/s + b DMG/s + c DMG/s + 1.2 d DMG/s) × 10 s (Celestial Opposition)
= 70 (a + b + c + 1.2 d) DMG
= 70 (a + b + c) DMG + 84 d DMG
Light Party Expanded Balance, with Celestial Opposition
( a DMG/s + b DMG/s + c DMG/s + d DMG/s) × 30 s (No buff)
+ (1.1 a DMG/s + 1.1 b DMG/s + 1.1 c DMG/s + 1.1 d DMG/s) × 30 s (Expanded Balance)
+ (1.1 a DMG/s + 1.1 b DMG/s + 1.1 c DMG/s + 1.1 d DMG/s) × 10 s (Celestial Opposition)
= 74 (a + b + c + d) DMG
= 74 (a + b + c) DMG + 74 d DMG
Should I Extended Balance (no Celestial Opposition),
or Expanded Balance (no Celestial Opposition)?
Extended Balance only: 70 (a + b + c) DMG + 82 d DMG
Expanded Balance only: 73 (a + b + c) DMG + 73 d DMG
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+ 3 (a + b + c) DMG - 9 d DMG
The two are equal when
3 (a + b + c) = 9 d
3/9 (a + b + c) = d
0.3333 (a + b + c) = d
Let T0 be total of party's DPS values.
T0 = a + b + c + d
T0 = a + b + c + 0.3333 (a + b + c)
T0 = 1.3333 (a + b + c)
d = 0.3333 (a + b + c)
d = x T0
x = d / T0
x = 0.3333 / 1.3333
x = 0.25
Should I Extended Balance (no Celestial Opposition),
or Expanded Balance with Celestial Opposition?
Extended Balance only: 70 (a + b + c) DMG + 82 d DMG
Expanded Balance + Opposition: 74 (a + b + c) DMG + 74 d DMG
=============================
+ 4 (a + b + c) DMG - 8 d DMG
The two are equal when
4 (a + b + c) = 8 d
4/8 (a + b + c) = d
0.5 (a + b + c) = d
Let T1 be total of party's DPS values.
T1 = a + b + c + d
T1 = a + b + c + 0.5 (a + b + c)
T1 = 1.5 (a + b + c)
d = 0.5 (a + b + c)
d = x T1
x = d / T1
x = 0.5 / 1.5
x = 0.3333
Should I Extended Balance with Celestial Opposition,
or Expanded Balance with Celestial Opposition?
Extended Balance + Opposition: 70 (a + b + c) DMG + 84 d DMG
Expanded Balance + Opposition: 74 (a + b + c) DMG + 74 d DMG
=============================
+ 4 (a + b + c) DMG - 10 d DMG
The two are equal when
4 (a + b + c) = 10 d
4/10 (a + b + c) = d
0.4 (a + b + c) = d
Let T2 be total of party's DPS values.
T2 = a + b + c + d
T2 = a + b + c + 0.4 (a + b + c)
T2 = 1.4 (a + b + c)
d = 0.4 (a + b + c)
d = x T2
x = d / T2
x = 0.4 / 1.4
x = 0.2857