Flags:EsperSpellTiers

Esper Spell Tiers

A random number of spells between 1 and 5 are selected using a uniform distribution for each esper resulting in an average of 27 * 3 = 81 spells. Learn rates for each spell are chosen using a triangular distribution of the 12 possible rates. Spells are divided into tiers G through S. Each esper spell slot randomly selects a tier using corresponding weights. For tiers G through A spells are selected using a uniform distribution. Spells in tier S each have their own individual weight.

As examples,
9.5% of the 81 spells will be randomly selected from tier A using a uniform distribution. Therefore, each seed will contain an average of 0.095 * 81 = 7.695 tier A spells and each spell in tier A will have a 9.5 / 7 = 1.35 percent chance of being in each esper spell slot.

1.5% of the 81 spell slots will contain a spell from tier S. Of those, 60% will be Merton, 30% will be Quick, and 10% will be Ultima. Therefore, each seed will contain an average of 0.015 * 81 = 1.215 tier S spells, 0.015 * 0.60 * 81 = 0.729 Mertons, 0.015 * 0.30 * 81 = 0.3645 (~1 in 3 seeds), 0.015 * 0.10 * 81 = 0.1215 (~1 in 8 seeds).

Tier	G	F	E	D	C	B	A	S
Weight	0.04	0.08	0.04	0.23	0.22	0.28	0.095	0.015
Size	1	2	3	15	11	12	7	3
Avg. Per Game	3.24	6.48	3.24	18.63	17.82	22.68	7.695	1.215
	Cure	Cure 2	Cure 3	Antdot	Bio	Bolt 2	Bolt 3	Merton
		Life	Life 2	Bolt	Break	Bserk	Fire 3	Quick
			Life 3	Demi	Fire	Doom	Flare	Ultima
				Dispel	Float	Fire 2	Ice 3
				Drain	Quake	Ice 2	Pearl
				Haste	Remedy	Imp	Stop
				Haste2	Safe	Meteor	X-Zone
				Ice	Shell	Muddle
				Poison	Slow	Mute
				Quartr	Slow 2	Osmose
				Rasp	Vanish	Sleep
				Regen		Warp
				Rflect
				Scan
				W Wind

Tier S spell weights:

Item	Weight
Merton	0.6
Quick	0.3
Ultima	0.1