Phalanx Skill Tiers

[Mougurijin]

The Phalanx formula up to 300 Enhancing Magic Skill is well known.

Floor( Enhancing Magic Skill / 10 ) - 2

The -dmg tiers above 300 Enhancing Magic Skill are as follows:

-Damage	Skill	Level increase
-28	300	---
-29	329	+29
-30	358	+29
-31	386	+28
-32	415	+29
-?	443	+28
-34	472	+29
-?	500	+28

I didn't test the damage reduction for the tiers starting at 443 and 500 enhancing magic skill, but at the moment I assume they are -33 and -35, respectively.
However, those are the exact starting levels I found for each new tier.
The skill level difference, if you start from 301 instead of 300, is 28.5 (truncating the .5's)

There isn't a commonly known formula for >300 skill Phalanx...

Until someone makes a nicer looking formula, here's my own one.
This works for a 301 starting point, with 28.5 skill between tiers and truncation of the .5's:

28 + Floor( (Enhancing Magic Skill - 300) / 28.5 - 1/57 )

You only need to subtract 1/57 (half of 1/28.5) or any positive number lower than it.
For simplicity sake you could replace the -1/57 with -0.01, and it will always have exactly the same effect.

28 + Floor( (Enhancing Magic Skill -300) / 28.5 - 0.01 )

[dasva]

28 + Floor( (Enhancing Magic Skill -300.5) / 28.5)

Looks slighlty cleaner. Also looks like just about as much as you can do with it to clean it up algebraically. Later I might try making something that works with those numbers and looks cleaner

[Mougurijin]

28 + Floor( (Enhancing Magic Skill -300.5) / 28.5)

Looks slighlty cleaner. Also looks like just about as much as you can do with it to clean it up algebraically. Later I might try making something that works with those numbers and looks cleaner

Nice! That makes a lot more sense and is also exactly the same as writing "-1/57".
I started off trying to write it that way, but I got confused as somehow the way I did it didn't seem to work, so I just gave up and put -1/57 instead.
I knew I should have posted here before putting the formula on otherwiki...

[Mougurijin]

This isn't much of a random fact, but I figured out how to achieve 529 Enhancing Magic skill to test the next tier of Phalanx...

420	RDM99 capped

--
+3	Fulcio Grip
--
--
+8	Zenith Crown(+1) [HQ3 Agument]
+10	Colossus's Torque [Lightsday only, +7 otherwise]
+3	Augmenting Earring
+2	Aptus Earring [Augment]
+15	Duelist's Tabard +2
+18	Duelist's Gloves +2
--
--
+6	Estoqueur's Cape
+5	Olympus Sash
+15	Warlock's Tights(+1)
+15	Estoqueur's Houseaux +2

+10	Atma of Harmony

530 = 420 + 3 + 8 + 10 + 3 + 2 + 15 + 18 + 6 + 5 + 15 + 15 + 10

So, 530 Enhancing Magic skill is probably the highest amount possible for RDM, so far...
However, you can only achieve that in Abyssea and only if it's also Lightsday.

I'm missing a few of the pieces, however someone should be able to test whether Phalanx capped at 500, eventually...