Aeon (Final Fantasy X)/Stat growth

Aeons' stats rise naturally with Yuna's, but also with the number of battles the party takes part in (including boss battles, and battles the party runs away from).

The formula is the same, but parameters depend on the aeon and on the stat:

$A = \max(x,y)+z$

Where $A$ is the aeon's stat, $x$ is the value of the stat calculated from the number of battles, $y$ is the value of the stat calculated from Yuna's stats, and $z$ is the increase of the stat the player has done using spheres after receiving Aeon's Soul from Belgemine.

$max$ is a function that returns the largest value. $max$ is applied for each type of stat. E.g. the aeon's HP is computed based on the two separate factors. Number of battles, as well as Yuna's stats, and the higher of the two values is applied as the actual HP.

See also: Stat growth

Calculation of parameter x (calculated from number of battles)

All battles, including those against bosses, those the party runs from, even those before Yuna joins the party, count in the number of battles $N$.

Note: Values of his table are extracted from Final Fantasy X Ultimania Guide.

Number of battles N	Valefor's Max HP (referential)	Approximate damage that would cause the Aeon to perform his Overdrive respect Valefor's Max HP
		Valefor	Ifrit	Ixion	Shiva	Bahamut
0 to 59	725	1401~ 1582	1083~ 1223	984~ 1111	1440~ 1627	894~ 1009
60 to 89	785	2029~ 2291	1393~ 1573	1440~ 1627	2266~ 2559	1181~ 1333
90 to 119	885	2834~ 3200	1966~ 2220	2035~ 2298	3068~ 3464	1729~ 1953
120 to 149	955	2834~ 3200	1966~ 2220	2035~ 2298	3068~ 3464	1729~ 1953
150 to 179	1003	3836~ 4331	2966~ 3349	2784~ 3144	4052~ 4576	2442~ 2757
180 to 209	1127	4218~ 4763	2966~ 3349	3068~ 3464	4422~ 4993	2442~ 2757
210 to 239	1169	5527~ 6241	3581~ 4043	3705~ 4183	5667~ 6399	3020~ 3410
240 to 269	1229	7664~ 8654	5477~ 6185	5231~ 5906	8243~ 9308	4446~ 5020
270 to 299	1341	10305~11636	7418~ 8376	7136~ 8058	10796~12190	6277~ 7088
300 to 329	1465	10305~11636	7418~ 8376	7674~ 8665	10796~12190	6277~ 7088
330 to 359	1525	13495~15238	9777~11040	9464~10686	14677~16573	7943~ 8969
360 to 389	1573	14386~16245	9777~11040	9464~10686	14677~16573	7943~ 8969
390 to 419	1685	18346~20716	12594~14221	12255~13837	19398~21904	10605~11975
420 to 449	1785	18346~20716	13376~15104	13028~14711	19398~21904	10605~11975
450 to 479	1845	22978~25946	15911~17966	15553~17562	23835~26914	12955~14628
480 to 509	1917	22978~25946	15911~17966	15553~17562	25041~28276	13812~15596
510 to 539	2005	28335~31995	20821~23511	19398~21904	30276~34187	17612~19887
540 to 569	2053	28335~31995	20821~23511	20449~23091	30276~34187	17612~19887
570 to 599	2177	36131~40798	25410~28692	25041~28276	37785~42666	22059~24908
600 and more	2225	36131~40798	25410~28692	25041~28276	37785~42666	22059~24908

Depending on $N$, the aeon, and the stat being examined, the parameter $x$ will be different. Below are tables giving the value of this parameter for each aeon.

Note: Values of each aeon's table are extracted from Final Fantasy X Ultimania Guide.

Valefor

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	725	24	18	23	21	23	10	19	11
60 to 89	785	27	19	25	24	26	10	20	11
90 to 119	885	29	20	28	27	27	12	21	12
120 to 149	955	30	21	29	27	30	12	21	12
150 to 179	1003	31	22	30	30	33	12	21	12
180 to 209	1127	35	24	33	31	37	15	24	13
210 to 239	1169	36	25	34	34	41	15	24	13
240 to 269	1229	39	27	36	38	41	18	25	14
270 to 299	1341	43	28	39	42	42	19	27	15
300 to 329	1465	46	30	44	42	46	21	28	15
330 to 359	1525	49	32	46	46	46	22	30	16
360 to 389	1573	50	33	47	47	51	24	30	16
390 to 419	1685	53	35	50	51	55	25	31	17
420 to 449	1785	55	36	52	51	55	27	33	17
450 to 479	1845	58	38	54	55	60	28	34	18
480 to 509	1917	60	39	58	55	60	30	36	18
510 to 539	2005	63	40	60	59	60	31	37	19
540 to 569	2053	64	42	61	59	65	31	39	19
570 to 599	2177	69	44	64	64	65	34	39	20
600 and more	2225	71	45	66	64	69	34	42	20

Ifrit

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	857	23	19	29	21	21	9	10	11
60 to 89	907	26	20	31	23	23	9	10	11
90 to 119	1097	28	21	36	26	23	11	10	12
120 to 149	1262	29	22	37	26	26	11	10	12
150 to 179	1302	30	23	38	30	30	11	10	12
180 to 209	1512	34	25	41	30	32	13	12	13
210 to 239	1547	35	26	42	32	36	13	12	13
240 to 269	1597	37	28	44	37	36	16	12	14
270 to 299	1797	41	29	47	41	37	17	14	15
300 to 329	2007	44	31	57	41	41	18	14	15
330 to 359	2057	47	33	59	45	42	19	15	16
360 to 389	2097	48	34	60	45	45	21	16	16
390 to 419	2297	51	36	63	49	49	22	16	17
420 to 449	2487	53	37	65	50	49	23	17	17
450 to 479	2537	56	39	67	53	53	24	17	18
480 to 509	2597	58	40	76	53	53	26	18	18
510 to 539	2777	60	41	78	58	53	27	18	19
540 to 569	2817	61	43	79	58	58	27	19	19
570 to 599	3027	66	45	82	62	58	30	20	20
600 and more	3067	68	46	84	62	62	30	22	20

Ixion

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	891	25	20	26	20	29	8	11	12
60 to 89	951	28	21	28	23	32	8	11	12
90 to 119	1121	30	22	32	26	33	9	11	13
120 to 149	1261	31	23	33	26	37	9	11	13
150 to 179	1309	33	24	34	29	41	9	11	13
180 to 209	1503	37	26	37	30	46	11	13	14
210 to 239	1545	38	27	38	32	51	11	13	14
240 to 269	1605	41	29	40	36	51	14	13	15
270 to 299	1787	45	30	43	40	52	15	15	16
300 to 329	1981	48	32	50	41	58	16	16	16
330 to 359	2041	51	34	52	44	58	17	17	17
360 to 389	2089	52	35	53	44	64	18	17	17
390 to 419	2271	56	37	56	48	69	19	17	18
420 to 449	2441	58	38	58	49	69	20	19	18
450 to 479	2501	61	40	60	52	75	21	19	19
480 to 509	2573	63	41	66	52	75	22	20	19
510 to 539	2731	66	42	68	56	75	23	20	20
540 to 569	2779	67	44	69	57	81	23	21	20
570 to 599	2973	72	46	72	61	81	26	22	21
600 and more	3021	74	47	74	61	87	26	24	21

Shiva

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	820	26	19	17	23	24	14	32	11
60 to 89	880	30	20	18	27	27	15	34	11
90 to 119	1020	32	21	19	30	28	18	34	12
120 to 149	1130	33	22	20	30	31	18	34	12
150 to 179	1178	35	23	21	33	34	19	35	12
180 to 209	1342	40	25	23	34	38	22	39	13
210 to 239	1384	41	25	24	37	42	22	39	13
240 to 269	1444	44	27	26	42	42	27	39	14
270 to 299	1596	48	28	27	46	43	27	44	15
300 to 329	1760	51	30	31	46	47	32	44	15
330 to 359	1820	55	31	33	51	48	32	48	16
360 to 389	1868	56	32	34	51	52	37	48	16
390 to 419	2020	60	34	36	56	57	37	49	17
420 to 449	2160	62	35	37	56	57	42	53	17
450 to 479	2220	66	36	39	60	61	42	53	18
480 to 509	2292	68	38	42	61	62	47	57	18
510 to 539	2420	71	39	43	65	62	47	58	19
540 to 569	2468	72	40	45	65	66	47	62	19
570 to 599	2632	78	41	47	70	67	52	62	20
600 and more	2680	80	42	48	70	71	52	66	20

Bahamut

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	1210	35	23	27	18	28	10	20	11
60 to 89	1280	39	24	29	20	32	10	21	11
90 to 119	1550	42	25	34	23	33	12	22	12
120 to 149	1785	44	26	35	23	36	12	22	12
150 to 179	1841	47	27	37	26	40	12	22	12
180 to 209	2139	52	29	39	26	44	15	25	13
210 to 239	2188	54	30	40	28	49	15	25	13
240 to 269	2258	58	32	42	32	50	18	26	14
270 to 299	2542	63	33	44	36	51	19	29	15
300 to 329	2840	67	35	54	36	56	21	29	15
330 to 359	2910	71	37	56	39	57	22	32	16
360 to 389	2966	73	38	57	39	61	24	32	16
390 to 419	3250	78	40	59	43	66	25	33	17
420 to 449	3520	81	41	61	43	67	27	35	17
450 to 479	3590	85	43	62	46	72	28	36	18
480 to 509	3674	89	44	72	47	73	30	38	18
510 to 539	3930	92	45	74	51	74	31	39	19
540 to 569	3986	94	47	75	51	78	31	41	19
570 to 599	4284	101	49	77	55	79	34	42	20
600 and more	4340	103	50	79	55	84	34	44	20

Anima

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	1410	45	33	26	22	23	9	20	11
60 to 89	1490	50	35	28	25	26	9	21	11
90 to 119	1810	54	36	32	28	27	11	22	12
120 to 149	2090	56	37	33	28	30	11	22	12
150 to 179	2154	59	39	34	31	33	11	22	12
180 to 209	2506	65	41	37	32	37	13	25	13
210 to 239	2562	68	42	38	35	41	13	25	13
240 to 269	2642	73	44	40	39	41	16	26	14
270 to 299	2978	79	46	43	43	42	17	29	15
300 to 329	3330	85	48	50	44	46	18	29	15
330 to 359	3410	90	50	52	47	46	19	32	16
360 to 389	3474	93	51	53	47	51	21	32	16
390 to 419	3810	98	53	56	51	55	22	33	17
420 to 449	4130	102	55	58	52	55	23	35	17
450 to 479	4210	107	56	60	56	60	24	36	18
480 to 509	4306	111	58	66	57	60	26	38	18
510 to 539	4610	116	60	68	61	60	27	39	19
540 to 569	4674	119	61	69	61	65	27	41	19
570 to 599	5026	126	63	72	65	65	30	42	20
600 and more	5090	130	65	74	66	69	30	44	20

Yojimbo

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	1030	0	29	25	16	23	9	59	19
60 to 89	1120	0	31	26	18	26	9	62	20
90 to 119	1246	0	32	32	20	27	11	63	21
120 to 149	1327	0	33	33	20	30	11	63	22
150 to 179	1399	0	35	34	23	33	11	63	22
180 to 209	1561	0	37	36	23	37	13	71	24
210 to 239	1624	0	38	36	25	41	13	71	24
240 to 269	1714	0	40	38	28	41	16	72	25
270 to 299	1858	0	42	39	31	42	17	81	27
300 to 329	2020	0	44	51	32	46	18	81	28
330 to 359	2110	0	46	52	34	46	19	89	29
360 to 389	2182	0	47	53	35	51	21	89	30
390 to 419	2326	0	49	55	37	55	22	90	31
420 to 449	2452	0	51	56	38	55	23	97	32
450 to 479	2542	0	52	57	41	60	24	98	33
480 to 509	2650	0	54	69	42	60	26	105	34
510 to 539	2758	0	56	70	44	60	27	106	35
540 to 569	2830	0	57	71	44	65	27	113	36
570 to 599	2992	0	59	72	48	65	30	114	37
600 and more	3064	0	61	73	48	69	30	122	38

Cindy (Magus Sister)

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	2190	46	28	32	21	28	10	20	11
60 to 89	2290	52	30	34	24	32	10	21	11
90 to 119	2870	55	31	41	28	33	12	22	12
120 to 149	3400	57	32	42	28	36	12	22	12
150 to 179	3480	63	34	44	31	40	12	22	12
180 to 209	4100	70	36	46	31	44	15	25	13
210 to 239	4170	72	37	47	34	49	15	25	13
240 to 269	4270	79	39	49	38	50	18	26	14
270 to 299	4870	87	41	51	43	51	19	29	15
300 to 329	5490	91	43	65	43	56	21	29	15
330 to 359	5590	97	45	67	47	57	22	32	16
360 to 389	5670	99	46	68	47	61	24	32	16
390 to 419	6270	107	48	70	51	66	25	33	17
420 to 449	6850	110	50	72	51	67	27	35	17
450 to 479	6950	116	51	73	56	72	28	36	18
480 to 509	7070	120	53	87	56	73	30	38	18
510 to 539	7630	126	55	89	60	74	31	39	19
540 to 569	7710	128	56	90	60	78	31	41	19
570 to 599	8330	140	58	92	64	79	34	42	20
600 and more	8410	142	60	94	64	84	34	44	20

Sandy (Magus Sister)

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	1790	35	42	26	24	28	10	17	13
60 to 89	1870	39	43	28	27	32	10	17	13
90 to 119	2350	42	44	32	31	33	12	18	14
120 to 149	2790	44	45	33	31	36	12	18	14
150 to 179	2854	47	46	35	34	40	12	18	14
180 to 209	3366	52	48	37	34	44	15	21	15
210 to 239	3422	54	49	38	38	49	15	21	15
240 to 269	3502	58	51	40	43	50	18	22	16
270 to 299	3998	63	52	42	48	51	19	25	17
300 to 329	4510	67	54	51	48	56	21	25	17
330 to 359	4590	71	56	53	53	57	22	27	18
360 to 389	4654	73	57	54	53	61	24	27	18
390 to 419	5150	78	59	56	57	66	25	28	19
420 to 449	5630	81	60	58	57	67	27	30	19
450 to 479	5710	85	62	59	63	72	28	31	20
480 to 509	5806	89	63	69	63	73	30	32	20
510 to 539	6270	92	64	71	67	74	31	33	21
540 to 569	6334	94	66	72	67	78	31	35	21
570 to 599	6846	101	68	74	73	79	34	36	22
600 and more	6910	103	69	76	73	84	34	38	22

Mindy (Magus Sister)

Number of battles N	Max HP	Max MP	Strength	Defense	Magic	Magic Defense	Agility	Evasion	Accuracy
0 to 59	1237	58	23	24	28	28	12	23	12
60 to 89	1287	66	24	26	31	32	12	24	12
90 to 119	1637	70	25	29	36	33	15	25	13
120 to 149	1962	72	26	30	36	36	15	25	13
150 to 179	2002	79	27	32	40	40	15	25	13
180 to 209	2372	88	29	34	40	44	18	28	14
210 to 239	2407	91	30	35	44	49	18	28	14
240 to 269	2457	99	32	37	50	50	22	29	15
270 to 299	2817	108	33	39	56	51	23	33	16
300 to 329	3187	114	35	47	56	56	25	33	16
330 to 359	3237	122	37	49	62	57	26	36	17
360 to 389	3277	125	38	50	62	61	29	36	17
390 to 419	3637	134	40	52	67	66	30	37	18
420 to 449	3987	138	41	54	67	67	33	39	18
450 to 479	4037	146	43	55	73	72	34	40	19
480 to 509	4097	150	44	63	73	73	37	43	19
510 to 539	4437	158	45	65	78	74	38	44	20
540 to 569	4477	161	47	66	78	78	38	46	20
570 to 599	4847	174	49	68	85	79	42	47	21
600 and more	4887	178	50	70	85	84	42	50	21

Calculation of parameter y (calculated from Yuna's stats)

The most important parameter used in those formulas depends on Yuna's general stats. Let us call it $Y$. It depends on all of Yuna's stats—except Luck—that is, Yuna's max HP $Y_{\text{max HP}}$ (can't exceed 9999), Yuna's max MP $Y_{\text{max MP}}$ (can't exceed 999), Yuna's strength $Y_{\text{str}}$, Yuna's defense $Y_{\text{def}}$, Yuna's magic $Y_{\text{mag}}$, Yuna's magic defense $Y_{\text{mdf}}$, Yuna's agility $Y_{\text{agi}}$, Yuna's evasion $Y_{\text{eva}}$ and Yuna's accuracy $Y_{\text{acc}}$.

$Y=\left\lfloor {\frac {Y_{\text{max HP}}}{100}}\right\rfloor +\left\lfloor {\frac {Y_{\text{max MP}}}{10}}\right\rfloor +Y_{\text{str}}+Y_{\text{def}}+Y_{\text{mag}}+Y_{\text{mdf}}+Y_{\text{agi}}+Y_{\text{eva}}+Y_{\text{acc}}$

Max HP

The formula is:

$y=a\times Y+b\times {\frac {Y_{\text{max HP}}}{100}}$ (floored)

Where $Y_{\text{max HP}}$ can't exceed 9999, and $a$ and $b$ values depend on the aeon following the table below:

Aeon	a	b
Valefor	6	20
Ifrit	5	70
Ixion	6	55
Shiva	6	40
Bahamut	7	100
Anima	8	120
Yojimbo	9	18
Cindy (Magus Sister)	10	240
Sandy (Magus Sister)	8	200
Mindy (Magus Sister)	5	150

Max MP

The formula is:

$y=a\times {\frac {Y}{10}}+b\times {\frac {Y_{\text{max MP}}}{100}}$ (floored)

Where $Y_{\text{max MP}}$ can't exceed 999, and $a$ and $b$ values depend on the aeon following the table below:

Aeon	a	b
Valefor	2	4
Ifrit	2	3
Ixion	2	5
Shiva	2	7
Bahamut	3	5
Anima	4	4
Yojimbo	0	0
Cindy (Magus Sister)	3	18
Sandy (Magus Sister)	3	5
Mindy (Magus Sister)	4	2

Strength

Aeons' strength, like other stats, cannot exceed 255.

The formula is:

$y={\frac {Y}{a}}+b\times {\frac {Y_{\text{str}}}{10}}$ (floored)

Where $a$ and $b$ values depend on the aeon following the table below:

Aeon	a	b
Valefor	7	6
Ifrit	7	8
Ixion	7	10
Shiva	8	12
Bahamut	7	16
Anima	6	33
Yojimbo	6	24
Cindy (Magus Sister)	6	23
Sandy (Magus Sister)	7	55
Mindy (Magus Sister)	7	16

Defense

Aeons' defense, like other stats, cannot exceed 255.

The formula is:

$y={\frac {Y}{a}}+b\times {\frac {Y_{\text{def}}}{10}}$ (floored)

Where $a$ and $b$ values depend on the aeon following the table below:

Aeon	a	b
Valefor	5	5
Ifrit	5	17
Ixion	5	10
Shiva	7	4
Bahamut	6	20
Anima	5	10
Yojimbo	8	25
Cindy (Magus Sister)	6	30
Sandy (Magus Sister)	6	18
Mindy (Magus Sister)	6	14

Magic

Aeons' magic, like other stats, cannot exceed 255.

The formula is:

$y={\frac {Y}{a}}+b\times {\frac {Y_{\text{mag}}}{10}}$ (floored)

Where $a$ and $b$ values depend on the aeon following the table below:

Aeon	a	b
Valefor	70	10
Ifrit	33	9
Ixion	38	9
Shiva	28	10
Bahamut	250	9
Anima	12	7
Yojimbo	23	6
Cindy (Magus Sister)	60	10
Sandy (Magus Sister)	40	11
Mindy (Magus Sister)	40	13

Magic Defense

Aeons' magic defense, like other stats, cannot exceed 255.

The formula is:

$y={\frac {Y}{a}}+b\times {\frac {Y_{\text{mdf}}}{10}}$ (floored)

Where $a$ and $b$ values depend on the aeon following the table below:

Aeon	a	b
Valefor	30	10
Ifrit	34	9
Ixion	30	13
Shiva	25	10
Bahamut	12	10
Anima	30	10
Yojimbo	30	10
Cindy (Magus Sister)	12	10
Sandy (Magus Sister)	12	10
Mindy (Magus Sister)	12	10

Agility

Aeons' agility, like other stats, cannot exceed 255.

The formula is:

$y={\frac {Y}{a}}+b\times {\frac {Y_{\text{agi}}}{10}}$ (floored)

Where $a$ and $b$ values depend on the aeon following the table below:

Aeon	a	b
Valefor	20	5
Ifrit	20	4
Ixion	20	3
Shiva	23	10
Bahamut	20	5
Anima	20	4
Yojimbo	20	4
Cindy (Magus Sister)	20	5
Sandy (Magus Sister)	20	5
Mindy (Magus Sister)	20	7

Evasion

Aeons' evasion, like other stats, cannot exceed 255.

The formula is:

$y={\frac {Y}{a}}+b\times {\frac {Y_{\text{eva}}}{10}}$ (floored)

Where $a$ and $b$ values depend on the aeon following the table below:

Aeon	a	b
Valefor	24	5
Ifrit	70	3
Ixion	47	3
Shiva	44	10
Bahamut	20	5
Anima	20	5
Yojimbo	20	18
Cindy (Magus Sister)	20	5
Sandy (Magus Sister)	20	4
Mindy (Magus Sister)	20	6

Accuracy

Aeons' accuracy, like other stats, cannot exceed 255.

The formula is:

$y={\frac {Y}{a}}+b\times {\frac {Y_{\text{acc}}}{10}}$ (floored)

Where $a$ and $b$ values depend on the aeon following the table below:

Aeon	a	b
Valefor	20	20
Ifrit	20	20
Ixion	20	25
Shiva	20	20
Bahamut	20	20
Anima	20	20
Yojimbo	10	30
Cindy (Magus Sister)	20	20
Sandy (Magus Sister)	20	27
Mindy (Magus Sister)	20	24