Magic Formulas
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Calculating Percent Guilds
Unlike all your other units, either the military footmen or the thieves, wizards are not trained by using gold. Your ascendant wizards will have to go through intensive studies in Guilds before being able to serve you properly. They are an absolute necessity for Mages.
Trains 0.02 Wizards Daily (2% chance to train a Wizard per Guild) Unaffected by BE (Building Efficiency) Guilds also increase the duration of your self spells and offensive spells. Guilds are unaffected by Building Efficiency for the purposes of calculating spell duration or wizards trained.
Percent Guilds, or % Guilds, refers to the current percentage of guilds a province has.
% Guilds = Total Number of Guilds / Total Acres
Effects of Percent Guilds
Spell Duration
Percent Guilds determines Spell Duration. The higher the percent Guilds, the longer a spell will last. This remains true until the maximum Duration for that particular Spell is reached. Maximum durations can be attained when 20% of your Land dedicated to Guilds (unaffected by Building Efficiency).
Some Races or Personalities may have a bonus or penalty to Spell Duration. Destabilize Guilds lowers Spell Duration.
Self Spells
For Self Spells, a higher percent Guilds results in a greater:
- Spell Duration
- Chance of a Successful Cast
Offensive Spells
For Offensive Spells, a higher percent Guilds results in a greater:
- Spell Duration
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
Calculating Mod WPA
Magic Effectiveness increases the WPA without changing the number of Wizards. This is known as 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 |
Race: Dark Elf | 1.2 | 1 |
Mage's Fury: Mage's Fury | 1.25 (off) / 0.75 (def) | 1 |
Magic Shield: Magic Shield | 1.2 | 1 |
Effects of Mod WPA
Offensive Spells
Modifier = Your Mod WPA / Opponent's Mod WPA
The higher this modifier is, the greater the:
- Chance of a Successful Cast
- Chance of Preventing an Opponent's Spell
Self Spells
WPA does not influence self spells.
Limit Wizard Training
Guilds train Wizards if it allowed and current number of Wizards is less then Maximum Allowed
Maximum Wizards Allowed to Train = Peasants * 2
Runes Cost Formula
Runes cost = ROUNDDOWN ( (0.6 * Size + 200) * Spell Cost Multiplier * 1.5 )
Spell Table [Self Spells]
Spell | Description | Spell Bonus |
Difficulty | Cost Multiplier |
Duration (Average) |
Support Spell |
Avian | Dwarf | Elf | Faery | Halfling | Human | Orc | Undead | Cleric | Mystic | Necromancer | Rogue | Sage | Tactician | War Hero | Warrior |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Minor Protection | Increases Defensive Military Efficiency by 5% (multiplicative). Stacks with Greater Protection.
|
105% | 0.017 | 0.35 | 12 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Greater Protection | Increases Defensive Military Efficiency by 5%. Stacks (multiplicative) with Minor Protection.
|
105% | 0.019 | 0.45 | 24 | Yes | No | No | Yes | No | No | Yes | No | No | Yes | No | No | No | No | No | No | No |
Magic Shield | Increases Defensive Magic Effectiveness by 20%.
|
120% | 0.022 | 0.5 | 14 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Mystic Aura | Makes the next spell cast on you fail automatically.
|
0.022 | 0.5 | N/A | No | No | No | Yes | No | Yes | No | No | No | No | No | No | No | No | No | No | No | |
Fertile Lands | Increases Food production by 25%
|
125% | 0.022 | 0.5 | 16 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Nature's Blessing | Grants immunity to Storms and Droughts. Has a 33% chance to cure the Plague on a successful cast.
|
100% | 0.023 | 0.6 | 16 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Love & Peace | Increases Birth Rate by +0.85% and War Horse production rate by 40%.
|
+0.85% | 0.024 | 0.7 | 14 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Divine Shield | Decreases Instant Spell Damage taken by 20%.
|
80% | 0.024 | 0.8 | 12 | Yes | No | No | Yes | No | No | No | No | No | Yes | No | No | No | No | No | No | No |
Quick Feet | Decreases Attack Time by 10%.
|
85% | 0.026 | 0.8 | 2 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | Yes | No | No |
Builder's Boon | Reduces Construction Time by 25%.
|
75% | 0.027 | 1 | 12 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Inspire Army | Reduces wages by 15% and decreases training time by 20%.
|
85%/80% | 0.028 | 1.1 | 12 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Hero's Inspiration | Reduces Military Wages by 30% and Training Time by 30%.
|
70%/70% | 0.017 | 1.1 | 14 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | Yes | No |
Scientific Insights | Increases Science Efficiency by 10%.
|
110% | 0.019 | 1.25 | 9 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | Yes | No | No | No |
Anonymity | Hides province name in the next attack, but reveals Kingdom location. No Honor gains when active. Reduces attack gains by 15%. Grants Ambush Immunity for this attack.
|
0.04 | 1.3 | N/A | No | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Illuminate Shadows | Reduces damage taken from Thievery Operations by 20%.
|
80% | 0.02 | 1.3 | 8 | Yes | No | No | Yes | No | No | No | No | No | Yes | No | No | No | No | No | No | No |
Salvation | Reduces All Military Casualties by 15%.
|
85% | 0.02 | 1.3 | 8 | Yes | No | No | Yes | No | No | No | No | No | Yes | No | No | No | No | No | No | No |
Wrath | Increases the Military Casualties of attacking provinces by 20%.
|
120% | 0.021 | 1.35 | 8 | No | No | No | Yes | No | No | No | No | No | Yes | No | No | No | No | No | No | No |
Invisibility | Increases Offensive Thievery Effectiveness (Offensive TPA) by 10%. Reduce Thieves lost during Thievery Operations by 20%.
|
110%/80% | 0.032 | 1.35 | 12 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Clear Sight | Gives a 25% chance to catch enemy thieves.
|
75% | 0.033 | 1.4 | 16 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Mage's Fury | Magic Effectiveness 25% higher for Offense, 25% lower for Defense.
|
125%/75% | 0.033 | 1.4 | 6 | No | No | No | Yes | Yes | No | No | No | No | No | No | No | No | No | No | No | No |
War Spoils | While the spell is active, you immediately take control of Land gained on Attacks.
|
0.034 | 1.45 | 4 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No | |
Mind Focus | Increases Wizard production by 25%.
|
125% | 0.033 | 1.475 | 12 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Fanaticism | Increases Offensive Military Efficiency by 5%. Decreases Defensive Military Efficiency by 5%.
|
105%/95% | 0.034 | 1.5 | 6 | No | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Guile | Increases Instant Spell Damage and Sabotage Operation Damage by 15% for the duration.
|
115% | 0.039 | 1.5 | 8 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Revelation | Increases the Spawn Rate of new Scientists by 30% while the spell is active.
|
130% | 0.035 | 1.55 | 10 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | Yes | No | No | No |
Fountain of Knowledge | Increases the Science Book production by 10% while the spell is active.
|
110% | 0.033 | 1.55 | 10 | No | No | No | Yes | No | No | Yes | No | No | No | No | No | No | No | No | No | No |
Tree of Gold | Instantly generates 26.66% to 53.33% of daily Income.
|
0.025 | 1.6 | N/A | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No | |
Town Watch | Every 5 Peasants defend with 1 strength, but suffer high Casualties.
|
0.037 | 1.6 | 10 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No | |
Aggression | Soldiers are +2/-2 strength for the duration of the spell.
|
+2/-2 | 0.037 | 1.625 | 12 | No | No | No | Yes | No | No | No | Yes | No | No | No | No | No | No | No | No | No |
Miner's Mystique | Peasants generate an extra 0.3gc per tick.
|
+0.3 | 0.038 | 1.65 | 14 | No | No | Yes | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Ghost Workers | Lowers Jobs required for maximum efficiency by 20%.
|
80% | 0.038 | 1.65 | 14 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Animate Dead | In your next defensive battle, 50% your Military Casualties are returned as Soldiers.
|
50% | 0.038 | 1.7 | N/A | No | No | No | Yes | No | No | No | No | Yes | No | No | No | No | No | No | No | No |
Mist | 10% lower resource losses in battle.
|
90% | 0.038 | 1.7 | 4 | No | No | Yes | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Reflect Magic | 25% chance to reflect Offensive Spells back upon casters.
|
25% | 0.4 | 1.8 | 12 | No | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Shadowlight | Reveals the origin Province for the next Thievery Operation on you. Makes the next Sabotage Operation targeting you fail automatically.
|
0.042 | 1.9 | N/A | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Bloodlust | Increases Offensive Military Efficiency by 10% and Enemy Military Casualties by 15%, but suffer 15% higher Military Casualties.
|
110% 115%/115% |
0.04 | 2.0 | 6 | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No | No | No |
Patriotism | Increases draft speed by 30%. Lowers Propaganda Damage taken by 30%.
|
130%/70% | 0.045 | 2.0 | 12 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Paradise | Creates a few acres of land. Consumes explore pool. Not available during War or Protection.
|
0.5 | 3.0 | N/A | No | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Cast Ritual | Increases progress towards the chosen ritual for each cast. Only available on the Ritual tab.
|
N/A | 6.0 | N/A | No | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Spell | Description | Spell Bonus |
Difficulty | Cost Multiplier |
Duration (Average) |
Support Spell |
Avian | Dwarf | Elf | Faery | Halfling | Human | Orc | Undead | Cleric | Mystic | Necromancer | Rogue | Sage | Tactician | War Hero | Warrior |
Spell Table [Offensive Spells]
Spell | Description | Spell Bonus |
Difficulty | Cost Multiplier |
Duration (Average) |
Avian | Dwarf | Elf | Faery | Halfling | Human | Orc | Undead | Cleric | Mystic | Necromancer | Rogue | Sage | Tactician | War Hero | Warrior |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Crystal Ball | Reveals target's Throne, displaying Troops and Resources. Fully accurate. Costs 1 Mana.
|
0.004 | 0.35 | N/A | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Storms | Kills Peasants equal to 1.5% of total Population. Cancels Drought. Increases Tornado damage taken by 15%.
|
0.009 | 0.8 | 12 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Drought | Food production reduced by 25%. Draft Speed reduced by 15%. Kills some War Horses. Cancels Storms. Increases Arson damage taken by 15%.
|
75% / 85% | 0.01 | 1.0 | 12 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Magic Ward | Unfriendly + Hostile + War: Increases the Rune Costs of target province by 100%.
|
200% | 0.02 | 1.15 | 6 | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Gluttony | Increases Food required by 25%.
|
125% | 0.014 | 1.2 | 12 | No | No | Yes | Yes | No | No | No | No | No | No | No | No | No | No | No | No |
Vermin | Destroys on average about 50% of target's Food.
|
50% | 0.014 | 1.275 | N/A | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Greed | Increases Military Wages and Draft Costs of target province by 25%.
|
125% | 0.016 | 1.3 | 12 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Expose Thieves | Unfriendly + Hostile + War: Reduces target province's Stealth by 5% of current Stealth level every Tick.
|
0.95 | 0.024 | 1.4 | 6 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Chastity | Reduces Birth Rate by 50%.
|
50% | 0.024 | 1.4 | 6 | No | No | Yes | Yes | No | No | No | No | No | No | No | No | No | No | No | No |
Sloth | Unfriendly + Hostile + War: Reduces Drafting Rate of target province by 50%. Increases Draft Cost by 100%.
|
50% / 200% | 0.024 | 1.4 | 6 | No | No | Yes | Yes | No | No | No | No | No | No | No | No | No | No | No | No |
Fireball | Unfriendly + Hostile + War: Kills ~7% of opponent's Peasants.
|
93% | 0.02 | 1.5 | N/A | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Fool's Gold | Unfriendly + Hostile + War: Destroys up to 25% of target's Gold.
|
75% | 0.02 | 1.5 | N/A | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Lightning Strike | Unfriendly + Hostile + War: Destroys up to 65% of opponent's Runes.
|
0.02 | 1.55 | N/A | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Explosions | When sending aid if either the donor or the receiver are under the explosions spell, there is a 50% chance that the shipment will be reduced to 55%-80% of what it would have been otherwise.
|
0.02 | 1.8 | 12 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Blizzard | Reduces the building effectiveness of target province by 10%.
|
90% | 0.02 | 1.8 | 6 | No | No | No | No | No | No | No | No | No | Yes | No | No | No | No | No | No |
Pitfalls | Causes opponent to suffer 15% higher Defensive Military Casualties.
|
115% | 0.024 | 1.8 | 12 | No | No | Yes | No | No | No | No | No | No | Yes | No | No | No | No | No | No |
Nightmares | Unfriendly + Hostile + War: Roughly 1.5% of target's Troops are put back in Training over 8 Ticks.
|
98.5% | 0.039 | 2.2 | N/A | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Tornadoes | Unfriendly + Hostile + War: Destroys several of your opponent's Buildings.
|
0.03 | 2.5 | N/A | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Mystic Vortex | Unfriendly + Hostile + War: For each active spell your opponent has, there's a 50% chance it's removed.
|
50% | 0.031 | 2.8 | N/A | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Amnesia | War: Temporarily removes ~5% of target's total allocated Science Books. These return over 24 ticks.
|
0.95 | 0.034 | 2.8 | N/A | No | No | Yes | No | No | No | No | No | No | No | No | No | No | No | No | No |
Meteor Showers | Hostile + War: Kills Peasants and Troops every Tick.
|
0.04 | 2.8 | 8 | No | No | Yes | Yes | No | No | No | No | No | No | No | No | No | No | No | No | |
Abolish Ritual | Unfriendly + Hostile + War: Reduces enemy ritual strength by 2%. Limited to 10 casts on a single enemy province; see Ritual tab for more details.
|
-2% | 0.032 | 2.8 | N/A | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
Land Lust | Unfriendly + Hostile + War: Captures between 1 and 1.35% of opponents Acres.
|
0.04 | 3.5 | N/A | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No | |
Spell | Description | Spell Bonus |
Difficulty | Cost Multiplier |
Duration (Average) |
Avian | Dwarf | Elf | Faery | Halfling | Human | Orc | Undead | Cleric | Mystic | Necromancer | Rogue | Sage | Tactician | War Hero | Warrior |
Spells and Ability to Cast
For full information on all of the current Spells refer to Mystics.
The Utopia Guide | |
---|---|
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Rules | Game Rules |
Races & Personalities | |
---|---|
Races | Avians • Dark Elves • Dwarves • Elves • Faeries • Halflings • Humans • Orcs • Undead |
Extinct Races | Bocans • Dryads • Gnomes |
Personalities | The Artisan • The Cleric • The Heretic • The Merchant • The Mystic • The Rogue • The Sage • The Shepherd • The Tactician • The War Hero • The Warrior |
Extinct Personalities | The Freak • The General • The Paladin • The Raider • The Undead • The Necromancer |