[SOLVED] Correct calculation of: %-Aura, reduced mana reservation, reduced mana gem

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BergErs wrote:

So with 1 passive 5% and alpha howl u can run 3 auras?
2 60% and a 40%.

Yes, if you have a lvl 20 reduced mana gem.

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beysl wrote:

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BergErs wrote:

So with 1 passive 5% and alpha howl u can run 3 auras?
2 60% and a 40%.

Yes, if you have a lvl 20 reduced mana gem.

Sweet, getting there soon :)

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beysl wrote:

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BergErs wrote:

So with 1 passive 5% and alpha howl u can run 3 auras?
2 60% and a 40%.

Yes, if you have a lvl 20 reduced mana gem.

I can confirm this as I just hit 69 on a character and was able to do this. Running hatred, grace and purity with Alpha Howl and the single 5% reduced at the bottom of tree.

yeah (.6+.6+.4) *.71 *(1-.05-.08) = 0.98832 or 99% of your mp bar.
however three 60% auras (instead of 2 and purity), you can't as it'll be about 1.17% of mp bar (post rounding).

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soul4hdwn wrote:

yeah (.6+.6+.4) *.71 *(1-.05-.08) = 0.98832 or 99% of your mp bar.
however three 60% auras (instead of 2 and purity), you can't as it'll be about 1.17% of mp bar (post rounding).

Your calculation is not 100% correct, even though the result is the same in this case. You need to round the values, as we have just learned.

60% * 0.71 = 42.6 -> 42% after reduced mana gem
42% * 0.13 = 5.46 -> 5% reduction from reduced mana reservation nodes
42% - 5% = 37%

Same for 40%:
40 * 0.71 = 28.4; 28 * 0.13 = 3.64; 28 - 3 = 25%

2*37% + 25% = 99%

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Mark_GGG wrote:

If you had blood magic and took the notable behind it, or otherwise obtained "less" mana reserved, this would be a part of the second calculation, where it's calculating the amount to take off the cost, but would stack multiplicatively with the "reduced" passives.

So you're saying it is its own multiplier? It doesn't add with Reduced Mana support gem or passive skill tree nodes?
Wow, it's even worse than I thought... At first i thought it added up with the passives, which I realized would be too good with the uniques Prism Guardian and Alpha's Howl, essentially making 3 auras free of cost. Then I thought since it was 'less' instead of reduced it probably added up with the Reduced Mana gem, making it a whole lot worse but still ok if you managed to get all passive skill tree nodes and at least Alpha's Howl.
But now it just seems terrible. If you somehow manage to get all the passive nodes and get your hands on Alpha's Howl, which is a huge commitment, each aura would cost 13% if my calulations are correct; 60% x 0.71(lvl20 reduced mana) x 0.46(all passives+alpha's howl) x 0.7(blood magic node).
With that you'll use two auras at most(noone with a reasonalbe mindwould reserve more than 26% of their life), which is not alot with that kind of commitment. With Prism Guardian as well you can get two auras down 6%, making you able to use three auras at a reasonable price. But still, three auras for the kind of commitment.
But I have a feeling you'll be increasing that node in later patchs when you realize the lack of blood magic users.

Great tool! Thanks for that. :)

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Mark_GGG wrote:

If you had blood magic and took the notable behind it, or otherwise obtained "less" mana reserved, this would be a part of the second calculation, where it's calculating the amount to take off the cost, but would stack multiplicatively with the "reduced" passives.

thanks Mark for clarifying very well how mana reservations work! but I'm missing something while I try to calculate correctly with the notable behind blood magic.

Let's imagine a scenario:


(a) lvl 20 reduced mana gem
(b) 36% reduced mana reserved (from several passive nodes)
(c) 40% less mana reserved (behind blood magic)


And let's try to calculate how much it will take off from 60% aura:

first calculation: 60% * 0.71 = 42.6 -> 42% (a)
second calculation: 42% * 0.36 = 15.12 -> 15% (b)

and here I 'crash' XD how would (b) and (c) stack multiplicatevely? Instinctively I did 42* 0.36 * 0.4 , but that would obviously be a LOWER amount to be taken off, so it's wrong. I can seetwo possible solutions:

1) 42% * (0.36 + 0.4) = 42% * 0.76 = 31.92 -> 31%
42% -31% = 11% (final reservation cost)

but wouldn't that be an additive stack?

2) 42% * 0.6 = 25.2 -> 25%
25% * 0.36 = 9%
25% - 9% = 16% (final reservation cost)

but wouldn't that be making the less mana reservation as a part of the first calculation instead of the second?

I feel they are both wrong, so please enlighten me! :D

thank you very much in advance!

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ObscureBalrog wrote:

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Mark_GGG wrote:

If you had blood magic and took the notable behind it, or otherwise obtained "less" mana reserved, this would be a part of the second calculation, where it's calculating the amount to take off the cost, but would stack multiplicatively with the "reduced" passives.

thanks Mark for clarifying very well how mana reservations work! but I'm missing something while I try to calculate correctly with the notable behind blood magic.

Let's imagine a scenario:


(a) lvl 20 reduced mana gem
(b) 36% reduced mana reserved (from several passive nodes)
(c) 40% less mana reserved (behind blood magic)


And let's try to calculate how much it will take off from 60% aura:

first calculation: 60% * 0.71 = 42.6 -> 42% (a)
second calculation: 42% * 0.36 = 15.12 -> 15% (b)

and here I 'crash' XD how would (b) and (c) stack multiplicatevely? Instinctively I did 42* 0.36 * 0.4 , but that would obviously be a LOWER amount to be taken off, so it's wrong. I can seetwo possible solutions:

1) 42% * (0.36 + 0.4) = 42% * 0.76 = 31.92 -> 31%
42% -31% = 11% (final reservation cost)

but wouldn't that be an additive stack?

2) 42% * 0.6 = 25.2 -> 25%
25% * 0.36 = 9%
25% - 9% = 16% (final reservation cost)

but wouldn't that be making the less mana reservation as a part of the first calculation instead of the second?

I feel they are both wrong, so please enlighten me! :D

thank you very much in advance!

I think with "Mortal conviction" we have this calculation :
1) 60% *0.71 = 42.6 = 42% ( gem reduced mana )
2) 42% * 0.36 = 15.12 = 15% ( passive reduced mana reservation )
42% - 15% = 27%
3) 27% * 0.40 = 10.8 = 10% ( mortal conviction )
27% - 10% = 17%
but not sure to interpret correctly "but would stack multiplicatively with the "reduced" passives"

but don't forget what blood magic implies :
"removes all mana, spend life instead of mana for skill" so little reservation don't shock me

If someone is intrested:

I was able to run 6 auras with prism and alphas with 12% reserved life and 93% reserved mana:

Stats after reservation 3k life and 80 mana :S

Using only 25% from tree.