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xivarmy

Legend
Perk Creator
Why *30/23
It's the FSP-factor assuming you use all FSPs produced by sanctums to finish more sanctums. The Eco Sanctum on average produces 7/30 finish special production fragments. Basically you view yourself as only spending 30/30 - 7/30 = 23/30 of a collection when you collect it. So dividing by 23/30 is the same as multiplying by 30/23. This covers not only the immediate FSP (which could be viewed as only (37/30)) but also covers the fact that the finish you use also produces a fraction of a finish and then a fraction of a fraction of a finish, etc.
 
It's the FSP-factor assuming you use all FSPs produced by sanctums to finish more sanctums. The Eco Sanctum on average produces 7/30 finish special production fragments. Basically you view yourself as only spending 30/30 - 7/30 = 23/30 of a collection when you collect it. So dividing by 23/30 is the same as multiplying by 30/23. This covers not only the immediate FSP (which could be viewed as only (37/30)) but also covers the fact that the finish you use also produces a fraction of a finish and then a fraction of a fraction of a finish, etc.
That makes a lot of sense. Thank you :)
 
It's the FSP-factor assuming you use all FSPs produced by sanctums to finish more sanctums. The Eco Sanctum on average produces 7/30 finish special production fragments. Basically you view yourself as only spending 30/30 - 7/30 = 23/30 of a collection when you collect it. So dividing by 23/30 is the same as multiplying by 30/23. This covers not only the immediate FSP (which could be viewed as only (37/30)) but also covers the fact that the finish you use also produces a fraction of a finish and then a fraction of a fraction of a finish, etc.

Hi there. 7/30 = 0.2333333...

so to find all frags we just need to
multiply 30 with the
Sum of 0.23333333333333333^n for every integer n

( Σ (0.233333333)^n= 0.30434782608695652 according to

Therefore all the real frags for every collection

are 30 x 0.30434782608695652 = 9.1304347826086956

= 9.1304347826086956...

That's real average WON frags after each collection of Eco Sanctum, for infinite times.


Therefore for 1 full FSP , ones need approximately

30 / 9.1304347826086956.. = 3.2858 Eco Sanctums

These (on average) 7 produced FSP frags of each Eco Sanctum ,

are in reality just bit over 9 real FSP Frags per Sanctum,

so according to math, so you need just a bit over 3 Sanctums for each FSP.


Now, if we include BG-lvl91 collections to charge each Sanctum with a 2x chance,
then that 70% chance to double, is an average an extra factor of 1.7x
Because 100 % + 70 % = 170 % = 170/100 = 1.7 x

So, when using BG collections
to gain 1 full FSP when charged with BG91
one needs
3.2858 Eco Sanctums / 1.7 = 1.933 Eco Sanctums

Now the maximum BG level in Fandom info, is 75% chance at BG level 158 ( BG level 157 still has 74% chance)

Likewise, a 75% means a factor of 1.75x

so with the Max known BG level of 158+

3.2858 Eco Sanctums / 1.75 = about 1.87 Eco Sanctums needed for each FSP


But even a BG level 68 gives around 65% chance for doubling ( 1.65x)
which works out almost exactly like 2 Sanctums to gain 1 FSP , with BG68

( since 3.2858 Eco Sanctums / 1.65 = 2 Eco Sanctums approximately )
 
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xivarmy

Legend
Perk Creator
Hi there. 7/30 = 0.2333333...

so to find all frags we just need to
multiply 30 with the
Sum of 0.23333333333333333^n for every integer n

( Σ (0.233333333)^n= 0.30434782608695652 according to
You did notice that the 30/23 i used is in fact 1 + that number you just quoted yes?

I'm not clear what the point you were trying to make with the rest of it was. Only the first 15 collections are BG boosted, and that was included as "15*0.75" extra collections in the lead-in multiplier.
 

Kommodor

Squire
You did notice that the 30/23 i used is in fact 1 + that number you just quoted yes?

I'm not clear what the point you were trying to make with the rest of it was. Only the first 15 collections are BG boosted, and that was included as "15*0.75" extra collections in the lead-in multiplier.
what is 145 in your formula??? it seems to me that the basic yield of ECO is 130!!!
 

fgony

Farmer
How is FP boost computed ? It show me +28% with 3 SAT Eco Sanctum + Forgotten Temple. Should be 29%, no ?

On Browser it shows 187FP. Which is correct.
 

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xivarmy

Legend
Perk Creator
How is FP boost computed ? It show me +28% with 3 SAT Eco Sanctum + Forgotten Temple. Should be 29%, no ?
It should be yes. Where are you seeing it computed at all? (it's not in the boost overview of townhall that i can see).

Individual buildings would be rounded off and might round to 28% when you have 29% depending on just how much their base FP is.
 

fgony

Farmer
It should be yes. Where are you seeing it computed at all? (it's not in the boost overview of townhall that i can see).

Individual buildings would be rounded off and might round to 28% when you have 29% depending on just how much their base FP is.
Mobile app. I edited my post with a screenshot.
 

xivarmy

Legend
Perk Creator
Mobile app. I edited my post with a screenshot.
Best guess:

145+29% = 187.05, rounded to 187

187 is 28.97% bonus over 145. If they just dropped the digits rather than rounding for the display, it'd be 28%.

See if when you collect you get 187 (if you have 29% boost and it's just showing 28% boost from a display procedure) or 186 (if you really had 28% boost and it's 185.6 rounded up) from it.
 

fgony

Farmer
Best guess:

145+29% = 187.05, rounded to 187

187 is 28.97% bonus over 145. If they just dropped the digits rather than rounding for the display, it'd be 28%.

See if when you collect you get 187 (if you have 29% boost and it's just showing 28% boost from a display procedure) or 186 (if you really had 28% boost and it's 185.6 rounded up) from it.
But it shows 28% on every building :
 

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xivarmy

Legend
Perk Creator
But it shows 28% on every building :
Not a clue then :) I'd still check on one of the big ones what you actually get to confirm if it's a display error, or something deeper.

My live world with 1 Forgotten Temple (20%), 2 SAT Sanctums (3%), 1 SAT Center (2%), and 2 SAT Hubs (1%), is showing correct numbers for 30% boost - but I don't play in app to see what it'd say there.
 
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