Magic Formulas
From The Utopian Encyclopedia
Contents
Wizards Per Acre
The ratio of your WPA to your opponent's WPA will determine the success rate of your conducted magic spells.
Raw WPA
Raw WPA = Number of Wizards / Acres
Mod WPA
Offensive Modified WPA = Raw WPA * Channeling Science * Racial Mod * Honour Mod * Mage's Fury Mod
Defensive Modified WPA = Raw WPA * Channeling Science * Racial Mod * Honour Mod * Mage's Fury Mod * Magic Shield Mod
| Modifier Type | Active | Otherwise |
| Channeling Science | Check your science page | |
| Race: Faery | 1.5 | 1 |
| Race: Human | 0.8 | 1 |
| Mage's Fury: Mage's Fury | 1.1(off) / 0.9(def) | 1 |
| Magic Shield: Magic Shield | 1.2 | 1 |
Runes Cost Formula
Runes cost = ROUNDDOWN(( 0.68 * size + 680 ) * Spell Cost Multiplier)
Spell Table [Self Spells]
| Spell | Spell-Bonus | Cost Multiplier | Human | Halfling | Elf | Dwarf | Orc | Avian | Undead | Faery | Duration (Average) | Description |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Minor Protection | 105% | 0.35 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 12 | Defensive Military Efficiency 5% higher (multiplied not added) |
| Greater Protection | 105% | 0.45 | Yes | No | No | No | No | No | No | Yes | 24 | Defensive Military Efficiency 5% higher (multiplied not added) |
| Magic Shield | 120% | 0.5 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 14 | Increases defensive Magic Effectiveness by 20% |
| Mystic Aura | 0.5 | No | No | Yes | No | No | No | No | Yes | Makes the next spell casted on you to fail automatically | ||
| Fertile Lands | 125% | 0.5 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 16 | 25% higher food production. |
| Nature's Blessing | 100% | 0.6 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 16 | Defense against droughts and storms. Has a 20% chance to cure the Plague on a successful cast. |
| Love & Peace | 185% | 0.7 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 14 | Increases population growth by an additional 85% |
| Tree of Gold | 40 - 80% | 0.8 | No | No | No | No | No | No | No | Yes | Gives 40-80% of daily income | |
| Quick Feet | 90% | 0.8 | No | Yes | No | Yes | No | No | No | Yes | Decreases your next return time by 10% | |
| Builder's Boon | 90% | 1 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 12 | 10% reduced construction time |
| Inspire Army | 85% / 80% | 1.1 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 12 | 15% reduced army upkeep / 20% quicker training time |
| Anonymity | 1.3 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Hides province name in the next attack, but reveals kingdom location. No honor gains when active. Prevents being ambushed. +15% attack time | ||
| Invisibility | 110% | 1.35 | No | No | No | No | No | No | No | Yes | 12 | 10% more thievery offense |
| Clear Sight | 75% | 1.4 | No | No | Yes | No | No | Yes | No | Yes | 18 | Gives a 25% chance to catch thieves in addition to the normal chance |
| Mage's Fury | 110% / 90% | 1.4 | No | No | Yes | No | No | No | No | Yes | 8 | Magic effectiveness 10% higher for offense, 10% lower for defense |
| War Spoils | 1.45 | No | Yes | No | No | No | No | Yes | Yes | 4 | Land gained in attacks are taken control of immediately | |
| Fanaticism | 105% / 97% | 1.5 | No | No | No | No | Yes | No | No | Yes | 8 | Military efficiency 5% higher for offense, 3% lower for defense |
| Fountain of Knowledge | 110% | 1.55 | No | No | Yes | No | No | No | No | Yes | 18 | Science points learned each turn are increased by 10% during the duration of the spell |
| Town Watch | 12.5% | 1.6 | No | Yes | No | No | No | Yes | No | Yes | 10 | Peasants defend equal to 1/4 of a soldier but suffer high casualties. |
| Aggression | 1.65 | Yes | No | No | No | Yes | No | No | Yes | 12 | Soldiers are 2/0 units instead of 1/1 units for the duration of the spell | |
| Animate Dead | 50% | 1.7 | No | No | No | Yes | No | No | No | Yes | In your next defensive battle, half your army casualties are returned as soldiers | |
| Reflect Magic | 80% | 1.8 | No | No | Yes | No | No | No | No | Yes | 12 | 20% of all spells cast on you are reflected back |
| Shadowlight | 1.9 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Reveals the origin province for the next thievery on you. | ||
| Patriotism | 130% | 2.0 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 12 | Increases draft speed by 30% |
| Paradise | 3.0 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Creates a few acres of land | ||
| Spell | Spell-Bonus | Cost Multiplier | Human | Halfling | Elf | Dwarf | Orc | Avian | Undead | Faery | Duration (Average) | Description |
Spell Table [Offensive Spells]
| Spell | Spell-Bonus | Cost Multiplier | Human | Halfling | Elf | Dwarf | Orc | Avian | Undead | Faery | Duration | Description |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Chastity | 0.7 | No | No | No | No | No | No | Yes | Yes | Reduces Pop Growth Rate to 0 | ||
| Storms | 33% | 0.8 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 12 | Kills 1.5% of total population. Cancels Drought |
| Droughts | 75% | 1.0 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 12 | Food production reduced by 25%. Draft Speed is also reduced by 15%. Even kills some horses. Cancels Storms. |
| Vermin | 450% | 1.2 | No | Yes | No | No | No | No | No | Yes | 12 | Food decay increased to 4.5% (from 1%) |
| Expose Thieves | 93% | 1.2 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Opponent stealth reduced to roughly 93% of original stealth | |
| Greed | 1.3 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 12 | Increases draft cost and army upkeep by 25% for the opponent | |
| Fools Gold | 75% | 1.4 | No | No | No | No | No | No | No | Yes | Converts 25% of equal sized opponent's gold into worthless lead | |
| Pitfall | 1.5 | No | No | Yes | No | No | No | No | Yes | 12 | Causes opponent to suffer higher losses | |
| Fireball | 97% | 1.5 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Unfriendly + Hostile + War: Kills 3% of equal sized opponent's peasants | |
| Lightning Strike | 75% | 1.55 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Unfriendly + Hostile + War: Destroys up to 65% of opponent's runes | |
| Explosions | 1.8 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | 12 | When sending aid if either the donor or the receiver are under the explosions spell, then there is a 50% chance that the shipment will be reduce to 55%-80% of what it would have been otherwise. | |
| Amnesia | 97% | 1.9 | No | No | Yes | No | No | No | No | Yes | Unfriendly + Hostile + War: Turns up to 13% of opponent's science back into research, 65% of this science is relearned, the rest is destroyed. | |
| Nightmares | 97% | 2.2 | No | No | No | No | No | No | Yes | Yes | Unfriendly + Hostile + War: Makes roughly 1.5% of troops be put back in training over 6 hours. Soldiers will quit instead. | |
| Mystic Vortex | 50% | 3.5 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Unfriendly + Hostile + War: For each active spell your opponent has, there's a 50% chance it's removed. | |
| Meteor Shower | 2.4 | No | No | No | No | No | No | No | Yes | 8 | Must be Mystic in order to cast this spell. Unfriendly + Hostile + War: Kills some peasants and troops. | |
| Tornadoes | 2.5 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Unfriendly + Hostile + War: Destroys several of your opponent's buildings | ||
| Land Lust | 3.5 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Unfriendly + Hostile + War: Captures between 1 acre and 1% of opponents land. | ||
| Spell | Spell-Bonus | Cost Multiplier | Human | Halfling | Elf | Dwarf | Orc | Avian | Undead | Faery | Duration | Description |
