=============================================================================== Final Fantasy X (US) - Aeon Stats FAQ - v1.1 =============================================================================== written by JungleJim - junglejimgf@yahoo.com Final Fantasy X is (c) Square (c) Sony Entertainment of America Permission to publish this FAQ is given to the following websites: www.gamefaqs.com For permission to publish elsewhere, send me email. ================= TABLE OF CONTENTS ================= 1.0 - REVISION HISTORY 2.0 - INTRODUCTION 3.0 - YUNA'S STATS 3.1 - Modifier Tables 4.0 - BATTLE BONUSES 4.1 - Forced Battles 4.2 - Battle Bonus Tables 4.3 - Battle Bonus Formulas 5.0 - AEON'S SOUL 5.1 - Core Stat Formulas 5.2 - MP Table 5.3 - MP Formulas 5.4 - HP Table 5.5 - HP Formulas 6.0 - THANKS ====================== 1.0 - REVISION HISTORY ====================== Version 1.1 01-28-03 Fixed some typos Clarified MAX process Version 1.0 01-23-03 Initial version ================== 2.0 - INTRODUCTION ================== This FAQ describes the formulas that govern aeon stat increases. These stats can increase in three ways: -Raise Yuna's stats using the sphere grid -Raise the aeons' stats directly by using the Aeon's Soul -Fight a certain number of battles For each stat, the formulas have this form: stat = MAX(Y, B) + A where Y = the aeon's stat value if you'd only raised Yuna's stat A = the aeon's stat value if you'd raised it directly using the Aeon's Soul B = the aeon's stat value if you'd only fought battles MAX is a function that returns the largest valued argument The MAX function is applied for each type of stat. For example, the aeon's HP is computed as if it were based only on the number of battles fought. Then the aeon's HP is computed as if it were based only on Yuna's stats. The higher of the two is taken to be the actual HP. The same process happens for each of the other stats. Section 3 shows how to calculate Y; Section 4 shows how to calculate B; Section 5 shows how to calculate A. ================== 3.0 - YUNA'S STATS ================== Raising Yuna's stats on the sphere grid is the most common and effective way to increase the aeons' stats. The only problem is that there's a limit to how much you can raise them this way. Yuna's core stats can't be raised beyond 255. Yuna's HP can go beyond 9999, but the aeons' stats will be unaffected after that. Yuna's MP can go beyond 999, but the aeons' stats will be unaffected after that. First a note regarding Luck. The Luck stat is special for several reasons. The only ways to raise it are to use the Aeon's Soul or to increase Yuna's Luck. All of the aeons have a base Luck of 17, same as Yuna. If you never use the Aeon's Soul, all of the aeons will have exactly the same value for Luck as Yuna has while she travels around the sphere grid. Everything else in this section applies to the other nine stats. Whenever Yuna increases any one of these stats, it affects the corresponding stat of the aeon, but it also affects each of the other eight stats to a lesser extent. Now is a good time to mention that I got stuck while working on these formulas. Terence showed me the light. The main problem was that I needed two floor functions instead of one in the formula. Having only one caused my predicted values to be off by one in a few places. Terence suggested the following auxilliary stat, which he called the Aeon Power Base: PBase = [yHP/100] + [yMP/10] + yStr + yDef + yMag + yMdf + yAgl + yEv + yAcc When a stat name is preceded by 'y', it's refering to the value of Yuna's stat. [] represents the floor function, which basically rounds a decimal value down to an integer. Examples: [5] = 5 [5.2] = 5 [5.9] = 5 Here's the formula for an aeon's stat based on Yuna's stat: stat = [yStat * x] + [PBase * y] Each aeon has different values for x and y for each stat. See Section 3.1 for a list of the x and y values. Note that the aeons' stats have the same caps as Yuna's stats (255 for core stats, 99999 for HP, 9999 for MP). Let's do some examples. First, using Yuna's base stats, we'll calculate Anima's base stats. PBase = [475/100] + [84/10] + 5 + 5 + 20 + 20 + 10 + 30 + 3 = 105 HP = [475 * 120/100] + [105 * 8] = 1410 MP = [84 * 4/100] + [105 * 4/10] = 45 Str = [5 * 330/100] + [105 * 1/6] = 33 Def = [5 * 100/100] + [105 * 1/5] = 26 Mag = [20 * 70/100] + [105 * 1/12] = 22 Mdf = [20 * 100/100] + [105 * 1/30] = 23 Agl = [10 * 40/100] + [105 * 1/20] = 9 Luck = 17 Ev = [30 * 50/100] + [105 * 1/20] = 20 Acc = [3 * 200/100] + [105 * 1/20] = 11 Now let's see what Anima's stats are when Yuna is maxed. PBase = [9999/100] + [999/10] + 255 + 255 + 255 + 255 + 255 + 255 + 255 = 1983 HP = [9999 * 120/100] + [1983 * 8] = 27862 MP = [999 * 4/100] + [1983 * 4/10] = 832 Str = [255 * 330/100] + [1983 * 1/6] = 255 Def = [255 * 100/100] + [1983 * 1/5] = 255 Mag = [255 * 70/100] + [1983 * 1/12] = 255 Mdf = [255 * 100/100] + [1983 * 1/30] = 255 Agl = [255 * 40/100] + [1983 * 1/20] = 201 Luck = 255 Ev = [255 * 50/100] + [1983 * 1/20] = 255 Acc = [255 * 200/100] + [1983 * 1/20] = 255 --------------------- 3.1 - Modifier Tables --------------------- Terence provided the x and y values for HP, MP, and Str, and I figured out the rest. =-=-= HP =-=-= Valefor: x = 20/100, y = 6 Ifrit: x = 70/100, y = 5 Ixion: x = 55/100, y = 6 Shiva: x = 40/100, y = 6 Bahamut: x = 100/100, y = 7 Anima: x = 120/100, y = 8 Yojimbo: x = 18/100, y = 9 Cindy: x = 240/100, y = 10 Sandy: x = 200/100, y = 8 Mindy: x = 150/100, y = 5 =-=-= MP =-=-= Valefor: x = 4/100, y = 2/10 Ifrit: x = 3/100, y = 2/10 Ixion: x = 5/100, y = 2/10 Shiva: x = 7/100, y = 2/10 Bahamut: x = 5/100, y = 3/10 Anima: x = 4/100, y = 4/10 Yojimbo: x = 0/100, y = 0/10 Cindy: x = 18/100, y = 3/10 Sandy: x = 5/100, y = 3/10 Mindy: x = 20/100, y = 4/10 =-=-=-=-=-= Strength =-=-=-=-=-= Valefor: x = 60/100, y = 1/7 Ifrit: x = 80/100, y = 1/7 Ixion: x = 100/100, y = 1/7 Shiva: x = 120/100, y = 1/8 Bahamut: x = 160/100, y = 1/7 Anima: x = 330/100, y = 1/6 Yojimbo: x = 240/100, y = 1/6 Cindy: x = 230/100, y = 1/6 Sandy: x = 550/100, y = 1/7 Mindy: x = 160/100, y = 1/7 =-=-=-=-= Defense =-=-=-=-= Valefor: x = 50/100, y = 1/5 Ifrit: x = 170/100, y = 1/5 Ixion: x = 100/100, y = 1/5 Shiva: x = 40/100, y = 1/7 Bahamut: x = 200/100, y = 1/6 Anima: x = 100/100, y = 1/5 Yojimbo: x = 250/100, y = 1/8 Cindy: x = 300/100, y = 1/6 Sandy: x = 180/100, y = 1/6 Mindy: x = 140/100, y = 1/6 =-=-=-= Magic =-=-=-= Valefor: x = 100/100, y = 1/70 Ifrit: x = 90/100, y = 1/33 Ixion: x = 90/100, y = 1/38 Shiva: x = 100/100, y = 1/28 Bahamut: x = 90/100, y = 1/250 Anima: x = 70/100, y = 1/12 Yojimbo: x = 60/100, y = 1/23 Cindy: x = 100/100, y = 1/60 Sandy: x = 110/100, y = 1/40 Mindy: x = 130/100, y = 1/40 =-=-=-=-=-=-=-= Magic Defense =-=-=-=-=-=-=-= Valefor: x = 100/100, y = 1/30 Ifrit: x = 90/100, y = 1/34 Ixion: x = 130/100, y = 1/30 Shiva: x = 100/100, y = 1/25 Bahamut: x = 100/100, y = 1/12 Anima: x = 100/100, y = 1/30 Yojimbo: x = 100/100, y = 1/30 Cindy: x = 100/100, y = 1/12 Sandy: x = 100/100, y = 1/12 Mindy: x = 100/100, y = 1/12 =-=-=-=-= Agility =-=-=-=-= Valefor: x = 50/100, y = 1/20 Ifrit: x = 40/100, y = 1/20 Ixion: x = 30/100, y = 1/20 Shiva: x = 100/100, y = 1/23 Bahamut: x = 50/100, y = 1/20 Anima: x = 40/100, y = 1/20 Yojimbo: x = 40/100, y = 1/20 Cindy: x = 50/100, y = 1/20 Sandy: x = 50/100, y = 1/20 Mindy: x = 70/100, y = 1/20 =-=-=-=-= Evasion =-=-=-=-= Valefor: x = 50/100, y = 1/24 Ifrit: x = 30/100, y = 1/70 Ixion: x = 30/100, y = 1/47 Shiva: x = 100/100, y = 1/44 Bahamut: x = 50/100, y = 1/20 Anima: x = 50/100, y = 1/20 Yojimbo: x = 180/100, y = 1/20 Cindy: x = 50/100, y = 1/20 Sandy: x = 40/100, y = 1/20 Mindy: x = 60/100, y = 1/20 =-=-=-=-=-= Accuracy =-=-=-=-=-= Valefor: x = 200/100, y = 1/20 Ifrit: x = 200/100, y = 1/20 Ixion: x = 250/100, y = 1/20 Shiva: x = 200/100, y = 1/20 Bahamut: x = 200/100, y = 1/20 Anima: x = 200/100, y = 1/20 Yojimbo: x = 300/100, y = 1/10 Cindy: x = 200/100, y = 1/20 Sandy: x = 270/100, y = 1/20 Mindy: x = 240/100, y = 1/20 ==================== 4.0 - BATTLE BONUSES ==================== Aeon stats will increase starting at 60 battles, then every 30 battles until 600 battles. All battles count, even before Yuna joins the party, and even if you run away. Boss battles and arena battles count. -------------------- 4.1 - Forced Battles -------------------- In one test, I used a cheat device to obtain all the aeons very early in the game, in order to see what their base stats were. Masamune3 suggested another test to back up those numbers. In order to verify the base stats of the aeons, I used a cheat device to go through the game without having any random encounters. This was necessary because in normal gameplay, it's not possible to acquire all the aeons without passing 60 battles, the first point where the stats increase. Below I've listed all the forced battles I encountered: 1 - Sinscales 2 - Sinscales 3 - Sinspawn Ammes 4 - Sahagin 5 - Geosgaeno 6 - Klikk 7 - Piranha 8 - Tros 9 - Dingo, Condor 10 - Water Flan 11 - Kimahri 12 - Garuda 13 - Garuda 14 - Condor, Dingo, Water Flan 15 - Sin, Sinscales 16 - Sinspawn Echuilles, Sinscales 17 - Ragora 18 - Sinspawn Geneaux 19 - Worker 20 - Worker 21 - Worker 22 - Oblitzerator 23 - Sahagin Chiefs 24 - Vouivre 25 - Garuda 26 - Raldo 27 - Chocobo Eater 28 - Sinspawn Gui 29 - Sinspawn Gui 30 - Extractor 31 - Treasure Chest, mole 32 - Spherimorph 33 - Crawler 34 - Seymour, Guado Guardians 35 - Guado Guardian 36 - Guado Guardian 37 - Wendigo, Guado Guardians 38 - Zuu 39 - Mech Guards 40 - Sandragora 41 - Guado Guardian, Bombs 42 - Guado Guardian, Dual Horns 43 - Guado Guardian, Chimeras 44 - Evrae 45 - Warrior Monks 46 - Warrior Monks, YKT-63 47 - Warrior Monks 48 - Warrior Monks, YKT-63 49 - Warrior Monks, YAT-99 50 - Grothia 51 - Pterya 52 - Spathi 53 - Evrae Altana 54 - Seymour Natus 55 - Defender X 56 - Yojimbo 57 - Biran Ronso, Yenke Ronso 58 - Seymour Flux 59 - Sanctuary Keeper After Sanctuary Keeper, the first stat bonuses were applied, but I've only got 59 battles in the list. Either I missed one, or one of the other battles I fought had a split and I counted it as one battle when it should have been counted as two. After this, there are three more battles necessary to fight before obtaining Anima and the Magus Sisters. These are Spectral Keeper, Yunalesca, and Geosgaeno. Note that I didn't fight Belgemine at all because I used a key items cheat in order to unseal the Magus Sisters. The good news is that the 0-59 stats (or base stats) for Valefor through Yojimbo are consistent with the base stats I observed from my other cheat game. Also, the 60-99 stats are consistent for all aeons. From this I am reasonably confident that the base stats I observed in my other cheat game are the true base stats for all aeons. ------------------------- 4.2 - Battle Bonus Tables ------------------------- The following tables show the stats of the aeons after each battle bonus is applied. The 0-59 rows correspond to the base stats of each aeon. Notice that Luck is unaffected by battles. =-=-=-=-= Valefor =-=-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 725 24 18 23 21 23 10 17 19 11 60- 89 785 27 19 25 24 26 10 17 20 11 90-119 885 29 20 28 27 27 12 17 21 12 120-149 955 30 21 29 27 30 12 17 21 12 150-179 1003 31 22 30 30 33 12 17 21 12 180-209 1127 35 24 33 31 37 15 17 24 13 210-239 1169 36 25 34 34 41 15 17 24 13 240-269 1229 39 27 36 38 41 18 17 25 14 270-299 1341 43 28 39 42 42 19 17 27 15 300-329 1465 46 30 44 42 46 21 17 28 15 330-359 1525 49 32 46 46 46 22 17 30 16 360-389 1573 50 33 47 47 51 24 17 30 16 390-419 1685 53 35 50 51 55 25 17 31 17 420-449 1785 55 36 52 51 55 27 17 33 17 450-479 1845 58 38 54 55 60 28 17 34 18 480-509 1917 60 39 58 55 60 30 17 36 18 510-539 2005 63 40 60 59 60 31 17 37 19 540-569 2053 64 42 61 59 65 31 17 39 19 570-599 2177 69 44 64 64 65 34 17 39 20 600+ 2225 71 45 66 64 69 34 17 42 20 =-=-=-= Ifrit =-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 857 23 19 29 21 21 9 17 10 11 60- 89 907 26 20 31 23 23 9 17 10 11 90-119 1097 28 21 36 26 23 11 17 10 12 120-149 1262 29 22 37 26 26 11 17 10 12 150-179 1302 30 23 38 30 30 11 17 10 12 180-209 1512 34 25 41 30 32 13 17 12 13 210-239 1547 35 26 42 32 36 13 17 12 13 240-269 1597 37 28 44 37 36 16 17 12 14 270-299 1797 41 29 47 41 37 17 17 14 15 300-329 2007 44 31 57 41 41 18 17 14 15 330-359 2057 47 33 59 45 42 19 17 15 16 360-389 2097 48 34 60 45 45 21 17 16 16 390-419 2297 51 36 63 49 49 22 17 16 17 420-449 2487 53 37 65 50 49 23 17 17 17 450-479 2537 56 39 67 53 53 24 17 17 18 480-509 2597 58 40 76 53 53 26 17 18 18 510-539 2777 60 41 78 58 53 27 17 18 19 540-569 2817 61 43 79 58 58 27 17 19 19 570-599 3027 66 45 82 62 58 30 17 20 20 600+ 3067 68 46 84 62 62 30 17 22 20 =-=-=-= Ixion =-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 891 25 20 26 20 29 8 17 11 12 60- 89 951 28 21 28 23 32 8 17 11 12 90-119 1121 30 22 32 26 33 9 17 11 13 120-149 1261 31 23 33 26 37 9 17 11 13 150-179 1309 33 24 34 29 41 9 17 11 13 180-209 1503 37 26 37 30 46 11 17 13 14 210-239 1545 38 27 38 32 51 11 17 13 14 240-269 1605 41 29 40 36 51 14 17 13 15 270-299 1787 45 30 43 40 52 15 17 15 16 300-329 1981 48 32 50 41 58 16 17 16 16 330-359 2041 51 34 52 44 58 17 17 17 17 360-389 2089 52 35 53 44 64 18 17 17 17 390-419 2271 56 37 56 48 69 19 17 17 18 420-449 2441 58 38 58 49 69 20 17 19 18 450-479 2501 61 40 60 52 75 21 17 19 19 480-509 2573 63 41 66 52 75 22 17 20 19 510-539 2731 66 42 68 56 75 23 17 20 20 540-569 2779 67 44 69 57 81 23 17 21 20 570-599 2973 72 46 72 61 81 26 17 22 21 600+ 3021 74 47 74 61 87 26 17 24 21 =-=-=-= Shiva =-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 820 26 19 17 23 24 14 17 32 11 60- 89 880 30 20 18 27 27 15 17 34 11 90-119 1020 32 21 19 30 28 18 17 34 12 120-149 1130 33 22 20 30 31 18 17 34 12 150-179 1178 35 23 21 33 34 19 17 35 12 180-209 1342 40 25 23 34 38 22 17 39 13 210-239 1384 41 25 24 37 42 22 17 39 13 240-269 1444 44 27 26 42 42 27 17 39 14 270-299 1596 48 28 27 46 43 27 17 44 15 300-329 1760 51 30 31 46 47 32 17 44 15 330-359 1820 55 31 33 51 48 32 17 48 16 360-389 1868 56 32 34 51 52 37 17 48 16 390-419 2020 60 34 36 56 57 37 17 49 17 420-449 2160 62 35 37 56 57 42 17 53 17 450-479 2220 66 36 39 60 61 42 17 53 18 480-509 2292 68 38 42 61 62 47 17 57 18 510-539 2420 71 39 43 65 62 47 17 58 19 540-569 2468 72 40 45 65 66 47 17 62 19 570-599 2632 78 41 47 70 67 52 17 62 20 600+ 2680 80 42 48 70 71 52 17 66 20 =-=-=-=-= Bahamut =-=-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 1210 35 23 27 18 28 10 17 20 11 60- 89 1280 39 24 29 20 32 10 17 21 11 90-119 1550 42 25 34 23 33 12 17 22 12 120-149 1785 44 26 35 23 36 12 17 22 12 150-179 1841 47 27 37 26 40 12 17 22 12 180-209 2139 52 29 39 26 44 15 17 25 13 210-239 2188 54 30 40 28 49 15 17 25 13 240-269 2258 58 32 42 32 50 18 17 26 14 270-299 2542 63 33 44 36 51 19 17 29 15 300-329 2840 67 35 54 36 56 21 17 29 15 330-359 2910 71 37 56 39 57 22 17 32 16 360-389 2966 73 38 57 39 61 24 17 32 16 390-419 3250 78 40 59 43 66 25 17 33 17 420-449 3520 81 41 61 43 67 27 17 35 17 450-479 3590 85 43 62 46 72 28 17 36 18 480-509 3674 89 44 72 47 73 30 17 38 18 510-539 3930 92 45 74 51 74 31 17 39 19 540-569 3986 94 47 75 51 78 31 17 41 19 570-599 4284 101 49 77 55 79 34 17 42 20 600+ 4340 103 50 79 55 84 34 17 44 20 =-=-=-= Anima =-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 1410 45 33 26 22 23 9 17 20 11 60- 89 1490 50 35 28 25 26 9 17 21 11 90-119 1810 54 36 32 28 27 11 17 22 12 120-149 2090 56 37 33 28 30 11 17 22 12 150-179 2154 59 39 34 31 33 11 17 22 12 180-209 2506 65 41 37 32 37 13 17 25 13 210-239 2562 68 42 38 35 41 13 17 25 13 240-269 2642 73 44 40 39 41 16 17 26 14 270-299 2978 79 46 43 43 42 17 17 29 15 300-329 3330 85 48 50 44 46 18 17 29 15 330-359 3410 90 50 52 47 46 19 17 32 16 360-389 3474 93 51 53 47 51 21 17 32 16 390-419 3810 98 53 56 51 55 22 17 33 17 420-449 4130 102 55 58 52 55 23 17 35 17 450-479 4210 107 56 60 56 60 24 17 36 18 480-509 4306 111 58 66 57 60 26 17 38 18 510-539 4610 116 60 68 61 60 27 17 39 19 540-569 4674 119 61 69 61 65 27 17 41 19 570-599 5026 126 63 72 65 65 30 17 42 20 600+ 5090 130 65 74 66 69 30 17 44 20 =-=-=-=-= Yojimbo =-=-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 1030 0 29 25 16 23 9 17 59 19 60- 89 1120 0 31 26 18 26 9 17 62 20 90-119 1246 0 32 32 20 27 11 17 63 21 120-149 1327 0 33 33 20 30 11 17 63 22 150-179 1399 0 35 34 23 33 11 17 63 22 180-209 1561 0 37 36 23 37 13 17 71 24 210-239 1624 0 38 36 25 41 13 17 71 24 240-269 1714 0 40 38 28 41 16 17 72 25 270-299 1858 0 42 39 31 42 17 17 81 27 300-329 2020 0 44 51 32 46 18 17 81 28 330-359 2110 0 46 52 34 46 19 17 89 29 360-389 2182 0 47 53 35 51 21 17 89 30 390-419 2326 0 49 55 37 55 22 17 90 31 420-449 2452 0 51 56 38 55 23 17 97 32 450-479 2542 0 52 57 41 60 24 17 98 33 480-509 2650 0 54 69 42 60 26 17 105 34 510-539 2758 0 56 70 44 60 27 17 106 35 540-569 2830 0 57 71 44 65 27 17 113 36 570-599 2992 0 59 72 48 65 30 17 114 37 600+ 3064 0 61 73 48 69 30 17 122 38 =-=-=-= Cindy =-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 2190 46 28 32 21 28 10 17 20 11 60- 89 2290 52 30 34 24 32 10 17 21 11 90-119 2870 55 31 41 28 33 12 17 22 12 120-149 3400 57 32 42 28 36 12 17 22 12 150-179 3480 63 34 44 31 40 12 17 22 12 180-209 4100 70 36 46 31 44 15 17 25 13 210-239 4170 72 37 47 34 49 15 17 25 13 240-269 4270 79 39 49 38 50 18 17 26 14 270-299 4870 87 41 51 43 51 19 17 29 15 300-329 5490 91 43 65 43 56 21 17 29 15 330-359 5590 97 45 67 47 57 22 17 32 16 360-389 5670 99 46 68 47 61 24 17 32 16 390-419 6270 107 48 70 51 66 25 17 33 17 420-449 6850 110 50 72 51 67 27 17 35 17 450-479 6950 116 51 73 56 72 28 17 36 18 480-509 7070 120 53 87 56 73 30 17 38 18 510-539 7630 126 55 89 60 74 31 17 39 19 540-569 7710 128 56 90 60 78 31 17 41 19 570-599 8330 140 58 92 64 79 34 17 42 20 600+ 8410 142 60 94 64 84 34 17 44 20 =-=-=-= Sandy =-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 1790 35 42 26 24 28 10 17 17 13 60- 89 1870 39 43 28 27 32 10 17 17 13 90-119 2350 42 44 32 31 33 12 17 18 14 120-149 2790 44 45 33 31 36 12 17 18 14 150-179 2854 47 46 35 34 40 12 17 18 14 180-209 3366 52 48 37 34 44 15 17 21 15 210-239 3422 54 49 38 38 49 15 17 21 15 240-269 3502 58 51 40 43 50 18 17 22 16 270-299 3998 63 52 42 48 51 19 17 25 17 300-329 4510 67 54 51 48 56 21 17 25 17 330-359 4590 71 56 53 53 57 22 17 27 18 360-389 4654 73 57 54 53 61 24 17 27 18 390-419 5150 78 59 56 57 66 25 17 28 19 420-449 5630 81 60 58 57 67 27 17 30 19 450-479 5710 85 62 59 63 72 28 17 31 20 480-509 5806 89 63 69 63 73 30 17 32 20 510-539 6270 92 64 71 67 74 31 17 33 21 540-569 6334 94 66 72 67 78 31 17 35 21 570-599 6846 101 68 74 73 79 34 17 36 22 600+ 6910 103 69 76 73 84 34 17 38 22 =-=-=-= Mindy =-=-=-= Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 1237 58 23 24 28 28 12 17 23 12 60- 89 1287 66 24 26 31 32 12 17 24 12 90-119 1637 70 25 29 36 33 15 17 25 13 120-149 1962 72 26 30 36 36 15 17 25 13 150-179 2002 79 27 32 40 40 15 17 25 13 180-209 2372 88 29 34 40 44 18 17 28 14 210-239 2407 91 30 35 44 49 18 17 28 14 240-269 2457 99 32 37 50 50 22 17 29 15 270-299 2817 108 33 39 56 51 23 17 33 16 300-329 3187 114 35 47 56 56 25 17 33 16 330-359 3237 122 37 49 62 57 26 17 36 17 360-389 3277 125 38 50 62 61 29 17 36 17 390-419 3637 134 40 52 67 66 30 17 37 18 420-449 3987 138 41 54 67 67 33 17 39 18 450-479 4037 146 43 55 73 72 34 17 40 19 480-509 4097 150 44 63 73 73 37 17 43 19 510-539 4437 158 45 65 78 74 38 17 44 20 540-569 4477 161 47 66 78 78 38 17 46 20 570-599 4847 174 49 68 85 79 42 17 47 21 600+ 4887 178 50 70 85 84 42 17 50 21 --------------------------- 4.3 - Battle Bonus Formulas --------------------------- Terence also figured out this one. The above tables can be generated with the same formulas presented in Section 3.0, but using some "fake stats" for Yuna instead of her real stats. The following table lists the fake stats: Battles HP MP STR DEF MAG MDF AGL LK EV ACC ------------------------------------------------------------ 0- 59 475 84 5 5 20 20 10 17 30 3 60- 89 475 104 5 5 23 23 10 17 32 3 90-119 675 104 5 7 26 23 13 17 32 3 120-149 875 104 5 7 26 26 13 17 32 3 150-179 875 124 5 7 29 29 13 17 32 3 180-209 1075 144 5 7 29 32 16 17 36 3 210-239 1075 144 5 7 32 36 16 17 36 3 240-269 1075 164 5 7 36 36 20 17 36 3 270-299 1275 184 5 7 40 36 20 17 40 3 300-329 1475 184 5 11 40 40 24 17 40 3 330-359 1475 204 5 11 44 40 24 17 44 3 360-389 1475 204 5 11 44 44 28 17 44 3 390-419 1675 224 5 11 48 48 28 17 44 3 420-449 1875 224 5 11 48 48 32 17 48 3 450-479 1875 244 5 11 52 52 32 17 48 3 480-509 1875 244 5 15 52 52 36 17 52 3 510-539 2075 264 5 15 56 52 36 17 52 3 540-569 2075 264 5 15 56 56 36 17 56 3 570-599 2275 304 5 15 60 56 40 17 56 3 600+ 2275 304 5 15 60 60 40 17 60 3 Terence also noticed that these fake stats almost exactly mirror Yuna's natural Sphere Grid path if you activated every node along the way and didn't open any Locks. "I say 'almost exactly' because of 600+. At 600+, the 'fake stats' gain 4 MDef and 4 Eva. However, the final leg of Yuna's Sphere Grid path (ending at Holy) has two +4 Eva nodes, and no MDef node. Which is, in fact, *very* interesting, in my opinion. A design change at the last second? They followed the path so *well* up until then...." -Terence ================= 5.0 - Aeon's Soul ================= ------------------------ 5.1 - Core Stat Formulas ------------------------ The following formula applies to Str, Def, Mag, Mdf, Agl, Luck, Ev, and Acc: ns = MIN(99, [stat / 2]) where ns: number of spheres needed to raise the core stat by 1 MIN: the minimum function, returns the lowest valued argument stat: the current value of the stat to be raised []: round down to an integer value (aka floor function) -------------- 5.2 - MP Table -------------- In the following table, the first column is the range of current MP values, the second column is the number of spheres required to raise MP by 10 for the given range of current MP, and the third column is the number of values in the given range of MP. Examples: Current MP = 15 12 Mana Spheres are needed New MP = 25 Current MP = 1500 35 Mana Spheres are needed New MP = 1510 I've listed the third column so that you can see the pattern. The number of values in the MP range increases by 3 and 6 alternately. An interesting side note: If you wanted to increase Yojimbo's MP from 0 to 9999 MP, you would need 53,905 Mana Spheres. That should give you an idea of how much time it would take to max out the MP of all your aeons. 0- 2 10 3 3- 8 11 6 9- 20 12 12 21- 35 13 15 36- 56 14 21 57- 80 15 24 81- 110 16 30 111- 143 17 33 144- 182 18 39 183- 224 19 42 225- 272 20 48 273- 323 21 51 324- 380 22 57 381- 440 23 60 441- 506 24 66 507- 575 25 69 576- 650 26 75 651- 728 27 78 729- 812 28 84 813- 899 29 87 900- 992 30 93 993-1088 31 96 1089-1190 32 102 1191-1295 33 105 1296-1406 34 111 1407-1520 35 114 1521-1640 36 120 1641-1763 37 123 1764-1892 38 129 1893-2024 39 132 2025-2162 40 138 2163-2303 41 141 2304-2450 42 147 2451-2600 43 150 2601-2756 44 156 2757-2915 45 159 2916-3080 46 165 3081-3248 47 168 3249-3422 48 174 3423-3599 49 177 3600-3782 50 183 3783-3968 51 186 3969-4160 52 192 4161-4355 53 195 4356-4556 54 201 4557-4760 55 204 4761-4970 56 210 4971-5183 57 213 5184-5402 58 219 5403-5624 59 222 5625-5852 60 228 5853-6083 61 231 6084-6320 62 237 6321-6560 63 240 6561-6806 64 246 6807-7055 65 249 7056-7310 66 255 7311-7568 67 258 7569-7832 68 264 7833-8099 69 267 8100-8372 70 273 8373-8648 71 276 8649-8930 72 282 8931-9215 73 285 9216-9506 74 291 9507-9800 75 294 9801-9998 76 300 ----------------- 5.3 - MP Formulas ----------------- Xharas contributed the following closed-form expressions which will generate my table. mp: aeon's current MP ms: number of mana spheres needed to raise MP by 10 SQRT: square root function []: round down to an integer value (aka floor function) base: MP level base (corresponding to the first number in the first column of my table) span: the number of MP values in that level (corresponding to the third column of my table) Find ms given mp: ms = [SQRT(mp / 2.25) + 10] Example: mp = 323 ms = [SQRT(323 / 2.25) + 10] = [21.981...] = 21 Find base and span given ms (when ms is even): base = 2.25 * (ms - 10) * (ms - 10) span = 4.5 * (ms - 10) + 3 Example: ms = 22 base = 2.25 * (22 - 10) * (22 - 10) = 324 span = 4.5 * (22 - 10) + 3 = 57 base of next level = 324 + 57 = 381 range of current level = 324-380 Find base and span given ms (when ms is odd): base = 2.25 * (ms - 10) * (ms - 10) + 0.75 span = 4.5 * (ms - 10) + 1.5 Example: ms = 21 base = 2.25 * (21 - 10) * (21 - 10) + 0.75 = 273 span = 4.5 * (21 - 10) + 1.5 = 51 base of next level = 273 + 51 = 324 range of current level = 273-323 -------------- 5.4 - HP Table -------------- In the following table, the first column is the range of current HP values, the second column is the number of spheres required to raise HP by 100 for the given range of current HP, and the third column is the number of values in the given range of HP. Examples: Current HP = 725 22 Power Spheres are needed New HP = 825 Current HP = 31000 60 Power Spheres are needed New HP = 31100 I've listed the third column so that you can see the pattern. The number of values in the HP range increases by 32 each time. An interesting side note: If you wanted to increase an aeon's HP from 0 (if it were possible to have an aeon's HP that low) to 99999 HP, you would need 68,171 Power Spheres. That should give you an idea of how much time it would take to max out the HP of all your aeons. 0- 15 16 16 16- 63 17 48 64- 143 18 80 144- 255 19 112 256- 399 20 144 400- 575 21 176 576- 783 22 208 784- 1023 23 240 1024- 1295 24 272 1296- 1599 25 304 1600- 1935 26 336 1936- 2303 27 368 2304- 2703 28 400 2704- 3135 29 432 3136- 3599 30 464 3600- 4095 31 496 4096- 4623 32 528 4624- 5183 33 560 5184- 5775 34 592 5776- 6399 35 624 6400- 7055 36 656 7056- 7743 37 688 7744- 8463 38 720 8464- 9215 39 752 9216- 9999 40 784 10000-10815 41 816 10816-11663 42 848 11664-12543 43 880 12544-13455 44 912 13456-14399 45 944 14400-15375 46 976 15376-16383 47 1008 16384-17423 48 1040 17424-18495 49 1072 18496-19599 50 1104 19600-20735 51 1136 20736-21903 52 1168 21904-23103 53 1200 23104-24335 54 1232 24336-25599 55 1264 25600-26895 56 1296 26896-28223 57 1328 28224-29583 58 1360 29584-30975 59 1392 30976-32399 60 1424 32400-33855 61 1456 33856-35343 62 1488 35344-36863 63 1520 36864-38415 64 1552 38416-39999 65 1584 40000-41615 66 1616 41616-43263 67 1648 43264-44943 68 1680 44944-46655 69 1712 46656-48399 70 1744 48400-50175 71 1776 50176-51983 72 1808 51984-53823 73 1840 53824-55695 74 1872 55696-57599 75 1904 57600-59535 76 1936 59536-61503 77 1968 61504-63503 78 2000 63504-65535 79 2032 65536-67599 80 2064 67600-69695 81 2096 69696-71823 82 2128 71824-73983 83 2160 73984-76175 84 2192 76176-78399 85 2224 78400-80655 86 2256 80656-82943 87 2288 82944-85263 88 2320 85264-87615 89 2352 87616-89999 90 2384 90000-92415 91 2416 92416-94863 92 2448 94864-97343 93 2480 97344-99855 94 2512 99856-99999 95 2544 ----------------- 5.5 - HP Formulas ----------------- Xharas submitted the following closed-form expressions which can generate my table. Much nicer than the iterative expressions I used before. hp: aeon's current HP ps: number of power spheres needed to raise HP by 100 SQRT: square root function []: round down to an integer value (aka floor function) base: HP level base (corresponding to the first number in the first column of my table) span: the number of HP values in that level (corresponding to the third column of my table) Find ps given hp: ps = [SQRT(hp / 16) + 16] Example: hp = 3533 ps = [SQRT(3533 / 16) + 16] = [30.859...] = 30 Find base and span given ps: base = 16 * (ps - 16) * (ps - 16) span = 32 * (ps - 15.5) Example: ps = 30 base = 16 * (30 - 16) * (30 - 16) = 3136 span = 32 * (30 - 15.5) = 464 base of next level = 3136 + 464 = 3600 range of current level = 3136-3599 ============ 6.0 - THANKS ============ -Gamefaqs for hosting this and all my other faqs -Masamune3 for suggesting a helpful test -Xharas for providing formulas for the HP/MP Aeon's Soul tables -Terence for providing the PBase formulas, HP/MP/Str modifiers, and battle bonus formulas -Also thanks to all those who showed interest in this topic on the message board