What you get when you fuse!! Warning: A LOT of Numbers and Calculating

In response to Tiberius’ fusing thread which can be found here.

Tiberius makes perfect sense, considering the fact that I have done a multitude of fusions and always received the higher grade. But that poses the question, how is it determined when fusing to create the OM arkadions that take four or five to fuse? Such as possibly averaging all of them, and if the supposed idea that grades are always rounded up is true, then it would be a relatively simple process to determine the grade outcome.
 
As Tiberius said, each grade could be assigned a numerical value, and you take the mean of all the values (which from my testing is how it works):
 
 

You need to find the average, and then round. S and A…6+5=11. 11/2=5.5…5 to the sky, 4 to the floor. Rounds to 6, making S. Got it? S+B…6+4=10…10/2=5…makes A. S+S+S+A+B…6+6+6+5+4.=27…27/5=5.4…rounds down to 5, makes A.

 
As such, using these numbers,***See values I will make this post no longer completely useless and provide a list that people could possibly verify using this method: (WARNING: This list is going to be really, really, really long) ; I have no life. So it will concealed in a Spoiler!
 

***S=6, A=5, B=4 C=3 D=2 E=1

Ctrl + F to search for any specific 5 Arkadion grade combination! (Open the spoiler you want first) Arrange them from highest to lowest and put a + between each! Example: S+A+A+B+E

I NEED THESE VERIFIED! (Or Discredited): Specifically Borderline Rank Combinations

5 Arkadions used for fusion

Highest Grade used in Fusion is S rank:
 

[spoiler]S+S+S+S+S= 30/5 = 6 = S           (Included for the sake of completion)
S+S+S+S+A= 29/5 = 5.8 = S
S+S+S+S+B= 28/5 = 5.6 = S
S+S+S+S+C= 27/5 = 5.4 = A
S+S+S+S+D= 26/5 = 5.2 = A
S+S+S+S+E= 25/5 = 5 = A

S+S+S+A+A= 28/5 = 5.6 = S
S+S+S+A+B= 27/5 = 5.4 = A
S+S+S+A+C= 26/5 = 5.2 = A
S+S+S+A+D= 25/5 = 5 = A
S+S+S+A+E= 24/5 = 4.8 = A
 
S+S+S+B+B= 26/5 = 5.2 = A
S+S+S+B+C= 25/5 = 5 = A
S+S+S+B+D= 24/5 = 4.8 = A
S+S+S+B+E= 23/5 = 4.6 = A
 
S+S+S+C+C= 24/5 = 4.8 = A

S+S+S+C+D= 23/5 = 4.6 = A

S+S+S+C+E= 22/5 = 4.4 = B

S+S+S+D+D= 22/5 = 4.4 = B

S+S+S+D+E= 21/5 = 4.2 = B

S+S+S+E+E= 20/5 = 4 = B

:::::::::::::::::::::::

S+S+A+A+A= 27/5 = 5.4 = A

S+S+A+A+B= 26/5 = 5.2 = A

S+S+A+A+C= 25/5 = 5 = A

S+S+A+A+D= 24/5 = 4.8 = A

S+S+A+A+E= 23/5 = 4.6 = A

S+S+A+B+B= 25/5 = 5 = A

S+S+A+B+C= 24/5 = 4.8 = A

S+S+A+B+D= 23/5 = 4.6 = A

S+S+A+B+E= 22/5 = 4.4 = B

S+S+A+C+C= 23/5 = 4.6 = A

S+S+A+C+D= 22/5 = 4.4 = B

S+S+A+C+E= 21/5 = 4.2 = B

S+S+A+D+D= 21/5 = 4.2 = B

S+S+A+D+E= 20/5 = 4 = B

S+S+A+E+E= 19/5 = 3.8 = B

::::::::::::::::::::::

S+S+B+B+B= 24/5 = 4.8 = A

S+S+B+B+C= 23/5 = 4.6 = A

S+S+B+B+D= 22/5 = 4.4 = B

S+S+B+B+E= 21/5 = 4.2 = B

S+S+B+C+C= 22/5 = 4.4 = B

S+S+B+C+D= 21/5 = 4.2 = B

S+S+B+C+E= 20/5 = 4 = B

S+S+B+D+D= 20/5 = 4 = B

S+S+B+D+E= 19/5 = 3.8 = B

S+S+B+E+E= 18/5 = 3.6 = B

:::::::::::::::::::

S+S+C+C+C= 21/5 = 4.2 = B

S+S+C+C+D= 20/5 = 4 = B

S+S+C+C+E= 19/5 = 3.8 = B

S+S+C+D+D= 19/5 = 3.8 = B

S+S+C+D+E= 18/5 = 3.6 = B

S+S+C+E+E= 17/5 = 3.4 = C

:::::::::::::::::::

S+S+D+D+D= 18/5 = 3.6 = B

S+S+D+D+E= 17/5 = 3.4 = C

S+S+D+E+E= 16/5 = 3.2 = C

:::::::::::::::::::

S+S+E+E+E= 15/5 = 3 = C

:::::::::::::::::::

S+A+A+A+A= 26/5 = 5.2 = A

S+A+A+A+B= 25/5 = 5 = A

S+A+A+A+C= 24/5 = 4.8 = A

S+A+A+A+D= 23/5 = 4.6 = A

S+A+A+A+E= 22/5 = 4.4 = B

S+A+A+B+B= 24/5 = 4.8 = A

S+A+A+B+C= 23/5 = 4.6 = A

S+A+A+B+D= 22/5 = 4.4 = B

S+A+A+B+E= 21/5 = 4.2 = B

S+A+A+C+C= 22/5 = 4.4 = B

S+A+A+C+D= 21/5 = 4.2 = B

S+A+A+C+E= 20/5 = 4 = B

S+A+A+D+D= 20/5 = 4 = B

S+A+A+D+E= 19/5 = 3.8 = B

S+A+A+E+E= 18/5 = 3.6 = B

::::::::::::::::::::

S+A+B+B+B= 23/5 = 4.6 = A

S+A+B+B+C= 22/5 = 4.4 = B

S+A+B+B+D= 21/5 = 4.2 = B

S+A+B+B+E= 20/5 = 4 = B

S+A+B+C+C= 21/5 = 4.2 = B

S+A+B+C+D= 20/5 = 4 = B

S+A+B+C+E= 19/5 = 3.8 = B

S+A+B+D+D= 19/5 = 3.8 = B

S+A+B+D+E= 18/5 = 3.6 = B

S+A+B+E+E= 17/5 = 3.4 = C

::::::::::::::::::::

S+A+C+C+C= 20/5 = 4 = B

S+A+C+C+D= 19/5 = 3.8 = B

S+A+C+C+E= 18/5 = 3.6 = B

S+A+C+D+D= 18/5 = 3.6 = B

S+A+C+D+E= 17/5 = 3.4 = C

S+A+C+E+E= 16/5 = 3.2 = C

::::::::::::::::::::

S+A+D+D+D= 17/5 = 3.4 = C

S+A+D+D+E= 16/5 = 3.2 = C

S+A+D+E+E= 15/5 = 3 = C

::::::::::::::::::::

S+A+E+E+E= 14/5 = 2.8 = C

::::::::::::::::::::

::::::::::::::::::::

S+B+B+B+B= 22/5 = 4.4 = B

S+B+B+B+C= 21/5 = 4.2 = B

S+B+B+B+D= 20/5 = 4 = B

S+B+B+B+E= 19/5 = 3.8 = B

S+B+B+C+C= 20/5 = 4 = B

S+B+B+C+D= 19/5 = 3.8 = B

S+B+B+C+E= 18/5 = 3.6 = B

S+B+B+D+D= 18/5 = 3.6 = B

S+B+B+D+E= 17/5 = 3.4 = C

S+B+B+E+E= 16/5 = 3.2 = C

::::::::::::::::::::

S+B+C+C+C= 19/5 = 3.8 = B

S+B+C+C+D= 18/5 = 3.6 = B

S+B+C+C+E= 17/5 = 3.4 = C

S+B+C+D+D= 17/5 = 3.4 = C

S+B+C+D+E= 16/5 = 3.2 = C

S+B+C+E+E= 15/5 = 3 = C

::::::::::::::::::::

S+B+D+D+D= 16/5 = 3.2 = C

S+B+D+D+E= 15/5 = 3 = C

S+B+D+E+E= 14/5 = 2.8 = C

::::::::::::::::::::

S+B+E+E+E= 13/5 = 2.6 = C

::::::::::::::::::::

::::::::::::::::::::

S+C+C+C+C= 18/5 = 3.6 = B

S+C+C+C+D= 17/5 = 3.4 = C

S+C+C+C+E= 16/5 = 3.2 = C

S+C+C+D+D= 16/5 = 3.2 = C

S+C+C+D+E= 15/5 = 3 = C

S+C+C+E+E= 14/5 = 2.8 = C

::::::::::::::::::::

S+C+D+D+D= 15/5 = 3 = C

S+C+D+D+E= 14/5 = 2.8 = C

S+C+D+E+E= 13/5 = 2.6 = C

::::::::::::::::::::

S+C+E+E+E= 12/5 = 2.4 = D

::::::::::::::::::::

::::::::::::::::::::

S+D+D+D+D= 14/5 = 2.8 = C

S+D+D+D+E= 13/5 = 2.6 = C

S+D+D+E+E= 12/5 = 2.4 = D

::::::::::::::::::::

S+D+E+E+E= 11/5 = 2.2 = D

::::::::::::::::::::

::::::::::::::::::::

S+E+E+E+E= 10/5 = 2 = D

::::::::::::::::::::

::::::::::::::::::::

::::::::::::::::::::[/spoiler]

​Highest Grade used in Fusion is A rank:

[spoiler]A+A+A+A+A= 25/5 = 5 = A

A+A+A+A+B= 24/5 = 4.8 = A

A+A+A+A+C= 23/5 = 4.6 = A

A+A+A+A+D= 22/5 = 4.4 = B

A+A+A+A+E= 21/5 = 4.2 = B

A+A+A+B+B= 23/5 = 4.6 = A

A+A+A+B+C= 22/5 = 4.4 = B

A+A+A+B+D= 21/5 = 4.2 = B

A+A+A+B+E= 20/5 = 4 = B

A+A+A+C+C= 21/5 = 4.2 = B

A+A+A+C+D= 20/5 = 4 = B

A+A+A+C+E= 19/5 = 3.8 = B

A+A+A+D+D= 19/5 = 3.8 = B

A+A+A+D+E= 18/5 = 3.6 = B

A+A+A+E+E= 17/5 = 3.4 = C

::::::::::::::::::::

A+A+B+B+B= 22/5 = 4.4 = B

A+A+B+B+C= 21/5 = 4.2 = B

A+A+B+B+D= 20/5 = 4 = B

A+A+B+B+E= 19/5 = 3.8 = B

A+A+B+C+C= 20/5 = 4 = B

A+A+B+C+D= 19/5 = 3.8 = B

A+A+B+C+E= 18/5 = 3.6 = B

A+A+B+D+D= 18/5 = 3.6 = B

A+A+B+D+E= 17/5 = 3.4 = C

A+A+B+E+E= 16/5 = 3.2 = C

:::::::::::::::::::::

A+A+C+C+C= 19/5 = 3.8 = B

A+A+C+C+D= 18/5 = 3.6 = B

A+A+C+C+E= 17/5 = 3.4 = C

A+A+C+D+D= 17/5 = 3.4 = C

A+A+C+D+E= 16/5 = 3.2 = C

A+A+C+E+E= 15/5 = 3 = C

:::::::::::::::::::::

A+A+D+D+D= 16/5 = 3.2 = C

A+A+D+D+E= 15/5 = 3 = C

A+A+D+E+E= 14/5 = 2.8 = C

:::::::::::::::::::::

A+A+E+E+E= 13/5 = 2.6 = C

:::::::::::::::::::::

:::::::::::::::::::::

A+B+B+B+B= 21/5 = 4.2 = B

A+B+B+B+C= 20/5 = 4 = B

A+B+B+B+D= 19/5 = 3.8 = B

A+B+B+B+E= 18/5 = 3.6 = B

A+B+B+C+C= 19/5 = 3.8 = B

A+B+B+C+D= 18/5 = 3.6 = B

A+B+B+C+E= 17/5 = 3.4 = C

A+B+B+D+D= 17/5 = 3.4 = C

A+B+B+D+E= 16/5 = 3.2 = C

A+B+B+E+E= 15/5 = 3 = C

:::::::::::::::::::::

A+B+C+C+C= 18/5 = 3.6 = B

A+B+C+C+D= 17/5 = 3.4 = C

A+B+C+C+E= 16/5 = 3.2 = C

A+B+C+D+D= 16/5 = 3.2 = C

A+B+C+D+E= 15/5 = 3 = C

A+B+C+E+E= 14/5 = 2.8 = C

:::::::::::::::::::::

A+B+D+D+D= 15/5 = 3 = C

A+B+D+D+E= 14/5 = 2.8 = C

A+B+D+E+E= 13/5 = 2.6 = C

:::::::::::::::::::::

A+B+E+E+E= 12/5 = 2.4 = D

:::::::::::::::::::::

:::::::::::::::::::::

A+C+C+C+C= 17/5 = 3.4 = C

A+C+C+C+D= 16/5 = 3.2 = C

A+C+C+C+E= 15/5 = 3 = C

A+C+C+D+D= 15/5 = 3 = C

A+C+C+D+E= 14/5 = 2.8 = C

A+C+C+E+E= 13/5 = 2.6 = C

:::::::::::::::::::::

A+C+D+D+D= 14/5 = 2.8 = C

A+C+D+D+E= 13/5 = 2.6 = C

A+C+D+E+E= 12/5 = 2.4 = D

:::::::::::::::::::::

:::::::::::::::::::::

A+D+D+D+D= 13/5 = 2.6 = C

A+D+D+D+E= 12/5 = 2.4 = D

A+D+D+E+E= 11/5 = 2.2 = D

:::::::::::::::::::::

A+D+E+E+E= 10/5 = 2 = D

:::::::::::::::::::::

:::::::::::::::::::::

A+E+E+E+E= 9/5 = 1.8 = D

:::::::::::::::::::::

:::::::::::::::::::::

:::::::::::::::::::::[/spoiler]

Highest Grade used in Fusion is B rank:

[spoiler]B+B+B+B+B= 20/5 = 4 = B

B+B+B+B+C= 19/5 = 3.8 = B

B+B+B+B+D= 18/5 = 3.6 = B

B+B+B+B+E= 17/5 = 3.4 = C

B+B+B+C+C= 18/5 = 3.6 = B

B+B+B+C+D= 17/5 = 3.4 = C

B+B+B+C+E= 16/5 = 3.2 = C

B+B+B+D+D= 16/5 = 3.2 = C

B+B+B+D+E= 15/5 = 3 = C

B+B+B+E+E= 14/5 = 2.8 = C

:::::::::::::::::::::

B+B+C+C+C= 17/5 = 3.4 = C

B+B+C+C+D= 16/5 = 3.2 = C

B+B+C+C+E= 15/5 = 3 = C

B+B+C+D+D= 15/5 = 3 = C

B+B+C+D+E= 14/5 = 2.8 = C

B+B+C+E+E= 13/5 = 2.6 = C

:::::::::::::::::::::

B+B+D+D+D= 14/5 = 2.8 = C

B+B+D+D+E= 13/5 = 2.6 = C

B+B+D+E+E= 12/5 = 2.4 = D

:::::::::::::::::::::

B+B+E+E+E= 11/5 = 2.2 = D

:::::::::::::::::::::

:::::::::::::::::::::

B+C+C+C+C= 16/5 = 3.2 = C

B+C+C+C+D= 15/5 = 3 = C

B+C+C+C+E= 14/5 = 2.8 = C

B+C+C+D+D= 14/5 = 2.8 = C

B+C+C+D+E= 13/5 = 2.6 = C

B+C+C+E+E= 12/5 = 2.4 = D

:::::::::::::::::::::

B+C+D+D+D= 13/5 = 2.6 = C

B+C+D+D+E= 12/5 = 2.4 = D

B+C+D+E+E= 11/5 = 2.2 = D

:::::::::::::::::::::

B+C+E+E+E= 10/5 = 2 = D

:::::::::::::::::::::

:::::::::::::::::::::

B+D+D+D+D= 12/5 = 2.4 = D

B+D+D+D+E= 11/5 = 2.2 = D

B+D+D+E+E= 10/5 = 2 = D

:::::::::::::::::::::

B+D+E+E+E= 9/5 = 1.8 = D

:::::::::::::::::::::

:::::::::::::::::::::

B+E+E+E+E = 8/5 = 1.6 = D

:::::::::::::::::::::

:::::::::::::::::::::

:::::::::::::::::::::[/spoiler]

​Highest Grade used in Fusion is C rank:

[spoiler]C+C+C+C+C = 15/5 = 3 = C

C+C+C+C+D = 14/5 = 2.8 = C

C+C+C+C+E = 13/5 = 2.6 = C

C+C+C+D+D= 13/5 = 2.6 = C

C+C+C+D+E= 12/5 = 2.4 = D

C+C+C+E+E= 11/5 = 2.2 = D

:::::::::::::::::::::

C+C+D+D+D= 12/5 = 2.4 = D

C+C+D+D+E= 11/5 = 2.2 = D

C+C+D+E+E= 10/5 = 2 = D

:::::::::::::::::::::

C+C+E+E+E= 9/5 = 1.8 = D

:::::::::::::::::::::

:::::::::::::::::::::

C+D+D+D+D= 11/5 = 2.2 = D

C+D+D+D+E= 10/5 = 2 = D

C+D+D+E+E= 9/5 = 1.8 = D

:::::::::::::::::::::

C+D+E+E+E= 8/5 = 1.6 = D

:::::::::::::::::::::

:::::::::::::::::::::

C+E+E+E+E= 7/5 = 1.4 = E

:::::::::::::::::::::

:::::::::::::::::::::

:::::::::::::::::::::[/spoiler]

​Highest Grade used in Fusion is D rank:

[spoiler]D+D+D+D+D= 10/5 = 2 = D

D+D+D+D+E= 9/5 = 1.8 = D

D+D+D+E+E= 8/5 = 1.6 = D

:::::::::::::::::::::

D+D+E+E+E= 7/5 = 1.4 = E

:::::::::::::::::::::

:::::::::::::::::::::

D+E+E+E+E= 6/5 = 1.2 = E

:::::::::::::::::::::

:::::::::::::::::::::

:::::::::::::::::::::[/spoiler]

​Highest Grade used in Fusion is E rank:

[spoiler]E+E+E+E+E= 5/5 = 1 = E

…What did you expect?  :P [/spoiler]

Yay it is done! All 252 Combos for fusing 5 Arkadions are within the spoilers above me! Good luck, and have fun fusing your OM Arkadions!

Good work. I’m sure that many will appreciate it. :slight_smile:

Holy numbers

Well done

Yeah. The sad thing is that Im only about half of the way done. There are so many combinations! Lol. I will probably have to make a part two somewhere along the line, but this is sufficient for now

Also, Some Elaboration! If you are extremely desperate and are looking for EX. A+A+B+C+C, you can easily subtract one grade from a C and add it to an A to make S+A+B+C+D! Which I just so happen to have up there :slight_smile:

Of course, I will eventually get all 252 combinations up there, as I can’t stand leaving things half finished.

U probably put alot of time in this! Great job

Just finished it up~ I happen to think it looks fantastic. Of course anything that I put a lot of time into does that :P. I hope this can help the community! 

P.S. Devs dont release any arkadions that need 6 to fuse :frowning: Please! :smiley:

        -Otherwise I fear for my Sanity.

Edit: CRAP!!! …Kamiwyrm

^Kamiwyrm will be easy.

S+S+S+S+S+S+S=S

Magical, I know. :wink:

LOL that is normal that Kamiwyrm will be an S hahaha .

*headdesk* Haha! Forgot that the orblings would be S rank xD. Yay no 1004 combinations >.<

Mine=blown…  You put a lot of work into this!  Nice job man!

Lol. Yeah. Good thing, hmm?

Thank you for that warning in the title because I think I may have shed a tear. Mostly because math is cruel to my mind, but also because I’m astonished on how much work was put into this.

Good job, very useful list, and thank you for posting!

I dont know if this is allowed, but I am mostly writing this message in order to bump this topic up. This information could possibly help a lot of people if they know where to look (Although Haniwel is a 4 Part fusion *sigh*). In order to not just make this specifically a bump post, I want to thank the people who appreciated my work :). It really makes me want to do more things like this when I get such a positive reception~

And you say I scare you… This is fantastic!  :wacko:

You sir have a much better attention span than I do  :ph34r:

I’d like to see this pinned. While it’s possible to have people look in the FAQ and calculate it themselves, this would still be beneficial.

OI! You noobs get over here and pin this here thread! :stuck_out_tongue:

Please and thank you <3

:smiley: