I think I may have found the means to nerf Jump...
03E980 - 09 02 (Status to Inflict on person using Jump - NOTE: Not responsible for the actual jumping portion, but does seem to deal something with the damage done, when changed to Not 02 or not 00, the character will seem inflicted by Doom but the counter will read 00 and nothing will happen.)
Unfortunately all of my other efforts to find how Jump is used has gone nowhere. I found what appeared to be the Jump Status, but when changed the character Jumping will never return from their jump.
In other news I managed to find out how the game looks at what needs to be equipped to use certain skills. The entire collection is bunched together so it's not a difficult thing to figure out.
By changing these you can then set them towards different skills like say that you want a Two-Handed weapon equipped to use Jump instead of Sing (because that makes no sense, Edward doesn't even Use a Harp in his Sing command animation)
In RAM at...
03A28E - C9 05 (Compare with Dark Wave's Command)
03A292 - C9 08 (Compare with Sing's Command)
03A296 - C9 0C (Compare with Aim's Command)
03A29A - C9 10 (Compare with Twin's Command)
I'll hopefully be able to find out the direct relation between ranges for these four commands (or rather three. Because Twin is something extra special without doubt) For reference here is all the Commands in Hex
(From the Tower of Babil Docs)
# Name Tg Comments
-- ---- -- --------
00 Fight 50 one ally/enemy
01 Item 00 opens a sub-menu
02 White 00 opens a sub-menu
03 Black 00 opens a sub-menu
04 Call 00 opens a sub-menu
05 Dummy 60 all enemy (Dark Wave)
06 Jump 58 one ally/enemy
07 Dummy 60 all enemy (Remember)
08 Sing 50 one enemy
09 Hide 00
0A Dummy 20 all allies (Medicine)
0B Dummy 20 all allies (Pray)
0C Aim 50 one ally/enemy
0D Dummy 50 one enemy (Store)
0E Kick 60 all enemy
0F Dummy 00 (Endure)
10 Twin 60 all enemy
11 Dummy 00 (Strengthen)
12 Dummy 60 all enemies (Cry)
13 Cover 18 one ally
14 Peep 58 one ally/enemy
15 Dummy 60 (Unknown and unused command)
16 Dart 50 one ally/enemy
17 Sneak 50 one ally/enemy
18 Ninja 00 opens a sub-menu
19 Dummy 28 all allies (Spirit Wave)
1A Chang -- Yes, this really is "Chang" in the ROM; I don't know where the e
gets put in.
1B Parry --
1C Show --
1D Off --

Alright! Found the item ranges that the game looks at for Commands. They are quite close to the original offsets above.

03A2F8 - C9 61 (If the Weapon value is this or above this (or 00?) Dark Wave cannot be used)
03A304 - C9 61 (Unsure, it does not appear to effect Dark Wave (May be Equipped Hand)
03A30E - C9 44 (If the value is this or above this, Sing can be used)
03A312 - C9 4D (If the value is this or above this, Sing cannot be used)
03A31C - C9 44 (I'm beginning to wonder if maybe these are Hand dealings? But every character that has a special command like this is Right Handed, curiously enough. I guess it shows them to be thorough. For now on I'll mark these as "Right" and "Left" handed. )
03A320 - C9 4D (Left Handed - If the value is this or above this Sing cannot be used)
03A32A - C9 54 (Right Handed - If the value is this or above this Aim can be used.
03A32E - C9 61 (Right Handed - If the values it this or above this Aim cannot be used (Looking for Bow? This would hint that Aim can be used with two Arrows equipped or two bows... well I'll give it a shot... Yep. Looks like it's right. Aim can be used with Two Bows or Two Arrows. An interesting non-check. Good on the programmers.)
Interestingly enough there is no duplicate data for Left/Right handed for Bows/Arrows.
And unfortunately as I thought, looks like Twin wasn't going to be in here.
The possibilities are immense! Do you want to make magic require a Staff or Rod equipped? Or for Dark Wave to actually require a Dark Sword? How about a Whip to use Call, or Two Handed Weapon for Jump?
While there are plenty of possibilities, there's only three that can be utilized. You may change Dark Wave's limits to another command and restrict (or expand?) the range of which it can be used (In example, Require Rosa to use a Staff to use a (better?) Pray.)
And the same applies for the other commands! This opens up a lot for me and I hope it helps you all as well!
In ROM this is located at...
01A48E - C9 05 (Compare with Dark Wave's Command)
01A492 - C9 08 (Compare with Sing's Command)
01A496 - C9 0C (Compare with Aim's Command)
01A49A - C9 10 (Compare with Twin's Command)
01A4F8 - C9 61 (Right Handed - If the Weapon value is this or above this (or 00?) Dark Wave cannot be used)
01A504 - C9 61 (Left Handed - If the Weapon value is this or above this (or 00?) Dark Wave cannot be used (May be Equipped Hand)
01A50E - C9 44 (Right Handed - If the value is this or above this, Sing can be used)
01A512 - C9 4D (Right Handed - If the value is this or above this, Sing cannot be used)
01A51C - C9 44 (Left Handed - If the value is this or above this, Sing can be used)
01A520 - C9 4D (Left Handed - If the value is this or above this Sing cannot be used)
01A52A - C9 54 ( - If the value is this or above this Aim can be used.
01A52E - C9 61 (Right Handed - If the values it this or above this Aim cannot be used (Looking for Bow? This would hint that Aim can be used with two Arrows equipped or two bows... well I'll give it a shot... Yep. Looks like it's right. Aim can be used with Two Bows or Two Arrows. An interesting non-check. Good on the programmers.)

2 -
I've taken another look about the surrounding data and I noticed an interesting pattern...
03A2F3 - BD 33 20 (7E2033 the location of the character's Right Hand Weapon)
03A2F6 - F0 07 (???)
03A2F8 - C9 61 (Right Handed Dark Wave Ranges)
In essence this means you can switch What it requires for you to use a particular command (in using the Character Data Table a few posts up). I find it difficult to think of a skill that would require that, but that's now a possibility. This data is always two bytes separated from the main Command Range, but if someone would like me to record their exact ROM locations, I can do it on request.