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Reply "TIZ" This... is... zOMG!!
Formula for overall CL Goto Page: 1 2 [>] [»|]

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Nadian
Crew

PostPosted: Fri Nov 21, 2008 2:24 pm
I went searching in the zOMG forum to see if any progress had been made figuring out the overall CL formula and, as luck would have it, the formula is reportedly:

(8*r8+7*r7+6*r6+5*r5+4*r4+3*r3+2*r2+r1)/36
Use standard rounding rules


Which is nice and simple. Basically, "r8" is your highest level ring, "r7" is the next highest... etc etc etc and "r1" is your lowest.


With this, we can begin calculating interesting things about how adding orbs to your rings affects overall CL. smile



For starters, although it appears to have a bias for the highest CL ring on person, this formula actually discourages that practice because of the increased number of orbs required to increase a ring by a single level. Let's compare briefly, shall we?


You have 450 orbs and eight CL:1.0 rings. What overall CL would you rather achieve?

Let's put all the orbs into one ring. You now have a CL:10.0 ring and seven CL:1.0 rings, making your overall CL simply 3.0

Let's put as many orbs between two rings as you can. Two CL:7.0s with 30 orbs leftover, so let's raise one ring to 7.4 and leave the other at 7.0 ; what's our overall CL? 3.6 ; that's a higher overall CL.

Using the level-up strategy I've suggested I've suggested in the past nets you seven CL:4.0 rings and a single CL:3.0 ring. Your overall CL? 4.0



That's a brief outline on why you don't want to focus too much on a single ring. Another way to look at things is via this nifty table I made:


Single: R1 R2 R3 R4 R5 R6 R7 R8 Orbs:
CL n.1: +0.3 or +0.3 | | | | | | | (3 vs 3) +0
CL n.2: +0.7 or +0.7 | | | | | | | (7 vs 7) +0
CL n.3: +1.2 or +1.0, +0.2 | | | | | | (14 vs 12) +2
CL n.4: +1.6 or +1.0, +0.7 | | | | | | (22 vs 17) +5
CL n.5: +2.1 or +1.0, +1.0, +0.2 | | | | | (33 vs 22) +11
CL n.6: +2.5 or +1.0, +1.0, +0.8 | | | | | (45 vs 28) +17
CL n.7: +3.0 or +1.0, +1.0, +1.0, +0.5 | | | | (60 vs 35) +25
CL n.8: +3.4 or +1.0, +1.0, +1.0, +1.0, +0.3 | | | (76 vs 43) +33
CL n.9: +3.9 or +1.0, +1.0, +1.0, +1.0, +1.0, +0.2 | | (96 vs 52) +44
CL n+1: +4.3 or +1.0, +1.0, +1.0, +1.0, +1.0, +1.0, +0.6 | (115 vs 66) +49



Here's the way it works... let's say your overall CL is 1.0 and you want to know what it'll take to reach CL 1.1 ; or you're CL 4.0 and you want to reach 4.1 ; turns out, the math is the same for each level in terms of the number of levels you have to add to each individual ring. In other words...

Seven CL 1.0 rings and a CL 1.3 will give you 1.1
Seven CL 2.0 rings and a CL 2.3 will give you 2.1
Seven CL 3.0 rings and a CL 3.3 will give you 3.1
Seven CL 4.0 rings and a CL 4.3 will give you 4.1

In other words, the only thing about the math that changes at each level is simply how many orbs it takes to increase the CL of a ring by 0.3. However, if instead of spreading out your orbs, you put them all into one ring, that's what the "single" column represents. To help compare, the right-most "orbs" column compares how many orbs it takes.


So, in order to reach an overall CL of 2.0 when you're 1.0, it'll take 115 orbs if you put them all into one ring, but only 66 if you spread them out.



Note that this strategy isn't necessarily the most efficient use of orbs. I've got some thoughts in that regard...  
PostPosted: Fri Nov 21, 2008 2:25 pm
It takes 46 muscles to frown...


gonk Holy...I already have enough math work!

...but only 4 to flip 'em the bird.
 

-xFraGz-


wellwisher
Vice Captain

PostPosted: Fri Nov 21, 2008 2:28 pm
This going to be saved elsewhere later?  
PostPosted: Fri Nov 21, 2008 2:47 pm
wellwisher
This going to be saved elsewhere later?

Probably saved in the zOMG subforum... or recreated when the thoughts are better organized... 3nodding


Okay, I thought about it a bit more and I found a much more ideal distribution for those 450 orbs in my example above.

-Put 150 into one ring making it a CL 6.0
-Put 100 into one ring making it a CL 5.0
-Put 88 into one ring making it a CL 4.7
-Put 60 into one ring making it a CL 4.0
-Put 30 into one ring making it a CL 3.0
-Put 12 into one ring making it a CL 2.1
-Put 10 into one ring making it a CL 2.0
-Put none in the last ring

That's 450 orbs giving you an overall CL of 4.4 3nodding

I'm not sure how to explain that one, though. sweatdrop (I understand why I chose those values, I just can't think of a way to explain it without making another confusing post.)  

Nadian
Crew


xN o k i

PostPosted: Fri Nov 21, 2008 2:57 pm
Wow. I thought it was like,

Ring1
Ring2
3
4
5
6
7
+ Ring 8
_______
x

x/8=CL


xD
 
PostPosted: Fri Nov 21, 2008 4:36 pm
Oooh... neato.  

Zphal
Captain

Shameless Humorist

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crazydude444292

PostPosted: Fri Nov 21, 2008 4:45 pm
sweatdrop
*blows a fuse trying to comprehend all of this*  
PostPosted: Fri Nov 21, 2008 5:17 pm

....
*brain explodes*
 

Rikku Takarai Too


Goddess Lia

PostPosted: Fri Nov 21, 2008 8:21 pm
okay thats confusing...
If i concentrate on one ring or all at the same time to bring them up to a CL 3.0, shouldn't it be the same amount of orbs... why would there be a dif....?  
PostPosted: Fri Nov 21, 2008 11:44 pm
It makes sense.
You don't want to level up only one ring (costs too many orbs at the higher levels).
You don't want to distribute evenly (since overall CL is based on a weighted average).
So you want to distribute orbs according to the weight (more orbs to the rings that are weighted more).



Assuming you want to maximize overall CL.  

lazy bonz


lazy bonz

PostPosted: Fri Nov 21, 2008 11:46 pm
Nadian is so smart! 3nodding  
PostPosted: Sat Nov 22, 2008 12:53 am
I feel inspired to create a program to do this, so maybe I'll work on it tomorrow. 3nodding

It'll be in Java so I'll be able to simply post it here. blaugh  

Nadian
Crew


Mama Ame
Vice Captain

Shy Conversationalist

PostPosted: Sat Nov 22, 2008 12:55 am

...I...

...don't understand this at all....

emo
 
PostPosted: Sat Nov 22, 2008 8:21 am
MATH! *looks at it* Um, ummm...FISH MONKEYS WEAR UNDERWEAR FOR THE SANITY OF KEYBOARD DUST SHOOTER! AAAAAA!

*head implodes*  

ITADAKIMASU NOM NOM


Zat In The Hat

Hilarious Capitalist

PostPosted: Sat Nov 22, 2008 9:33 am
burning_eyes  
Reply
"TIZ" This... is... zOMG!!

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