====== Esper Spell Tiers ======
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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 |