Random Question Thread X: Fucking 99 Level Cap, How Does it Work?

[Usmrsiberian]

I got a random question. How much exp is it from 1-75?

[rog]

Anyone want to double check my math rq on Bonesplitter vs OAT Luchtaine

Spoiler: show

Going off the set I'll have when I ding 75

http://www.ffxiah.com/item_sets.php?id=156458

77+16+5 str = 98 str

Colibri have 67 vit, which gives us 8fstr

So now we have

Bonesplitter: 108 DMG
Luchtaine: 84 DMG

In my the set up above, we have 22% DA between job trait, merits, and pole grip.

Bonesplitter: 22% DA
Luchtaine: 22% DA, 40% OAT

Bonesplitter will average: 108 x 1.22 = 131.76 DMG/attack round.

For Luchtaine, DA and OAT can't proc at the same time. We'll say DA gets priority (though you'd get the same result if OAT got priority).

Since DA is taking priority, it goes uninterrupted, you get a 22% chance to DA.
For OAT, it has a 40% proc rate, but can't proc when DA procs. So, it can only even has the chance to proc 78% of the time.
.4 x .78 = 31.2% chance to proc.

For each attack, you gain .22 of an attack from DA and .312 of an attack from OAT, for a total DA/OAT rate of 53.2%

84 x 1.532 = 128.668 DMG/attack round on average.

Also, we have 504 vs 514 delay, the 504 delay isn't a 6hit, but if you at least land two hits of your ws (the first hit being one), it's a 6hit. So, we'll call them both a 6hit in this case.

So, for DoT in respect to Stonesplitter

DMG: 131.76/128.668 = 2.403% increase
Delay: 1/(504/514) = 1.984% increase in attack speed

DoT in respect to stonesplitter: 1.02403 x 1.01984 = 4.435% increase



Looking at WS, based on this set
Raging Rush
http://www.ffxiah.com/item_sets.php?id=158388

Stonesplitter:
100 DMG
Fstr: 17
WSC: 49+77+5 str = 131STR 131 x .35 = 45.85~45, 45 x .83 = 37.37~37 WSC = 37

Raging rush is a 3hit WS, this set has capped acc. Under the assumption that only the first two hits can double attack
We have an average of 1.22 + 1.22 + 1 = 3.44 hits per raging rush
With our acc capped at 95%, we have an average of .95 x 3.44 3.268 landed hits.

For simplicity's sake, we will say the first hit lands (since it will have more ftp than the other hits)

Our average ftp will be 3.368

100 (dmg) + 17 (fstr) + 37 (wsc) = 154 DMG

154 x 3.368 = 518.672 average DMG


Luchtaine:
76 DMG
Fstr: 16 (Fstr cap on Luch is 16, so we don't get the 17th dmg)
WSC: 37

76 (Dmg) + 16 (fstr) + 37 (wsc) = 129 DMG

Same FTP as above

129 x 3.368 = 434.472 average DMG

In terms of Stonesplitter:
518.672/434.472 = 19.3798% increase in WS damage.



As said before, Stonesplitter will average 1.22 attacks per and Luchtaine will average 1.532
accounting for no tp overflow
Stone splitter will gain 1.22/1.532 = 79.6345% of the tp as Luchtaine (if you account for TP overflow and WS' gained from meditate, this will be a bit less)

And finally, from delay, the same as earlier
Delay: 1/(504/514) = 1.984% increase in attack speed

DMG: 19.3798% increase
Number of attacks per round: 79.6345% of the number of attacks for Luchtaine
Delay: 1.984% increase

1.193798 x .796345 x 1.01984 = 96.95% of the ws damage as Luchtaine

Assuming a 40/60 DoT/WS split

We have


(1.04435 x .4) + (.9695 x .6) = .99944 x 99.944%

Bonesplitter will do 99.944% of the damage as Luchtaine

If you want to put it in terms of Luchtaine
100/99.944 = 100.056 = 0.056% increase in damage.

They're essentially equal w/o looking at external TP. Once you add in TP gained from meditate, WS lost/not gained from tp overflow, and WS from TP gained from retaliation, they % increase of WS in favor of Luchtaine will decrease, which makes bonesplitter our winner.

I didn't see any mistakes.

[rog]

I got a random question. How much exp is it from 1-75?

801,350

[Cream Soda]

I didn't see any mistakes.

Thanks chief

Edit: Also, that being said, is Bonesplitter going to be my best option when not using rune chopper?

[Dooom]

Dancer category 2 merits. Aside from No Foot Rise, what do people recommend? Neither Saber Dance or Fan Dance really excite me due to the loss of waltzes/sambas, and Closed Position seems somewhat underwhelming for merit/dyna/einherjar type situations with multiple melee and potentially spinning mobs. Is there something I'm overlooking?

[Cream Soda]

If you do any soloing on dnc, you'll want at least 1 in fan dance. Other than that may as well do 4 in closed position also good for solo. If you want saberdance for the sake of having it, can put one in that and do 1/1/3

[rog]

Edit: Also, that being said, is Bonesplitter going to be my best option when not using rune chopper?

I think fort should be better, no?

[Darkmagi]

How do I buy CP items from other nations without switching? I was almost positive the npcs in the consulates sold them. I tried everything and they just give some BS message about not being able to help me. Wiki has no other info besides the npcs I already tried. Edit: nevermind, I missed the part about your nation needing to rank higher. Bah

[rog]

Your country needs to be a higher rank in the conquest than the nation you're trying to buy from.

[Cream Soda]

I think fort should be better, no?

Hopefully not. I've dropped over 25 of those axes. Don't ever want to fight that thing again, lol.

[Darkmagi]

I'm interested in Fort vs Bonesplitter math. I think the massively increased TP gain on fort would pull it ahead in times you can't use RC or don't have haste samba.

[Cream Soda]

I'll mess w/ it later.

I need a confirmation though. From faith baghs, I've never seen a stone proc off a DA, I've been certain DA and stones can both proc on the same attack, but a stone can't proc off a DA and a DA can't proc off a stone.

Though, I've been told diff (Never seen it though and I've been using faith baghs for years).

So, can I get a confirmation on that?

[rog]

Yes, da and oat from sea weapons can proc together.

Read that wrong. No, that's not true. Then you'd have 4x attacks, but the max is 3x.

[Darkmagi]

I'm 100% certain fort axe can triple attack with DA+stone proc.

[Cream Soda]

Maybe I worded it wrong. I know they can proc on the same attack, but what I'm trying to see is if they can proc on each other. I've never seen it on faiths, but I'm told it's been seen w/ other weps.

So let's say we have base attack

Attack

Stone procs

Attack Attack

DA procs

Attack Attack Attack

Now we have 3 attacks


Base attack
Stone Attack
DA attack

What I've been told that other ppl have done

Base attack
Stone attack
DA attack -> Stone attack

For a four attack round. I've seen people claim Stones able to proc on a DA'd hit

[Usmrsiberian]

801,350

Awesome, thanks!

[Darkmagi]

Yeah my bad misread also. Can only do 3 attacks max. 20%~ DA + 50% OAT is pretty sweet.

[Cream Soda]

w/o adaman haub, not going to cap acc swapping for bomblett to stone. So do you just want to take the hit in acc, swap out blitz for toreador or swap dusk+1 for aurum?

[mdkuser]

I'm not too good on the probability math, need some confirmation on DA and OAT.

Let's say I have the OAT axe w/ war and 22% DA total.

40% OAT
22% DA

We'll assume DA procs first, so and that they proc independently.

We'll look at 100 attack rounds

DA has first priority here, so 100 x 1.22 = 122, so 22 extra attacks from DA

OAT has 40% proc rate, but 22% of the time, DA will have procced in its place, so only 78% of them will count. .4 x .78 = 31.2% chance of an OAT occuring.

100 x 1.312 = 131.2 = 31.2 extra attacks from OAT.

From this point would I say we have 100 +31.2 + 22 = 153.2 attacks on average? for a 53.2% chance that I'll attack twice in any given attack round?

Right, but things complicates once you take into account accuracy. The above is true for 100% hit rate. I prefer an analytical point of view:

Spoiler: show

d=double attack rate, but as a fraction/100, here d=0.22
m=magian OAT rate, m=0.4
a= hit rate, a=0.95 for example

The distribution of 0,1,2 hits is [p0,p1,p2] as follows

Chance of zero hits: p0
you miss in three different manners: single attack, miss; double attack double miss; OAT double miss

p0=(1-d)(1-m)(1-a)+d(1-a)^2+(1-d)m(1-a)^2

Chance of one hit: p1
you one-hit in in three different manners: single attack ; double attack with one miss ( first or second hit); OAT with one miss miss (first or second)

p1=(1-d)(1-m)a+2da(1-a)+2(1-d)ma(1-a)

Chance of two hits: p2

You have of course p2=1-p0-p1 but you can create a similar formula to the above: you two-hit if a double attack lands 2 hits, or an oat lands 2 hits:

p2=da^2+(1-d)ma^2

[you can check that the formal sum is 1]

For your example take d=0.22, m=0.40 and a=1.0

the distribution is
[p0,p1,p2]=[0,46.8%,53.2%]


Note: It does not depend on wether DA is checked before or after OAT, same formulas, because unlike jailer weapons you can't tripple attack.

[rog]

w/o adaman haub, not going to cap acc swapping for bomblett to stone. So do you just want to take the hit in acc, swap out blitz for toreador or swap dusk+1 for aurum?

On what mob, with what gear...?

And you obviously wouldn't use dusk+1 or blitz if acc is uncapped, unless you have more than ~70% haste.