Difference between revisions of "Magic Formulas"

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| '''Mage's Fury: [[Spells#Mage.27s_Fury|Mage's Fury]]''' || 1.25 (off) / 0.75 (def) || 1

Revision as of 21:37, 2 July 2023

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 Dark Elf Dwarf Faery Gnome Halfling Human Orc Undead Cle Here Mys Necro Rog Sage Shep Tact WHero Warr
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 Yes No No 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 No No No No Yes No No Yes No No 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 Yes No No 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 No No No Yes No No 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 Yes No No 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 Yes No No 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 Yes No No 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 No No No No No No No Yes No No No No No No No No No
Quick Feet
Decreases Attack Time by 15%.
 85% 0.026 0.8 2 No No No No No No No 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 Yes No No 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 Yes No No 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 No No No No 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 No No No No No No No No No No No No Yes No 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 Yes No No 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 No No No No No No No Yes No No No No No No No No No
Salvation
Reduces all Military Casualties by 10%.
 90% 0.02 1.3 8 Yes No No No No No No No No No Yes No No No No No No No No No
Wrathful Smite
Increases the Military Casualties of attacking provinces by 20%.
 120% 0.021 1.35 8 Yes No No No No No No No No No Yes No No 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 No No Yes No 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 No No No No No No No No No Yes 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 No Yes No No No 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 No No No No 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 Yes No No No No 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 No No No No No No No No No No No No No No No No No No Yes
Guile
Increases Instant Spell Damage and Sabotage Operation Damage by 15% for the duration.
 115% 0.039 1.5 8 No No No No No No No 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 8 No No No No No No No No No No No No No No No Yes No 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 No No No No Yes No No 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 No No Yes No 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 No No Yes No 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 No No No No No Yes No No 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 No Yes No No No 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 No Yes No No 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 No No No No No No Yes No No No No No No No No No No
Mist
10% lower resource losses in battle.
 90% 0.038 1.7 6 No No No Yes No No No 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 No No No No 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 Yes No No 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 No No No No No No No Yes 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 Yes No No 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 Yes No No 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 Yes No No No No No No No No No No
Spell Description Spell
Bonus 		Difficulty Cost
Multiplier 		Duration
(Average) 		Support
Spell 		Avian Dark Elf Dwarf Faery Gnome Halfling Human Orc Undead Cle Here Mys Necro Rog Sage Shep Tact WHero Warr

Spell Table [Offensive Spells]

Spell Description Spell
Bonus 		Difficulty Cost
Multiplier 		Duration
(Average) 		Avian Dark Elf Dwarf Faery Gnome Halfling Human Orc Undead Cle Here Mys Necro Rog Sage Shep Tact WHero Warr
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 Yes No No 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 Yes No No 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 Yes No No 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 Yes No No No No 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 No Yes No No No 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 No No No No No No No No Yes 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 Yes No No No No No No No No No No
Fool's Gold
Unfriendly + Hostile + War: Destroys up to 25% of target's Gold.
 75% 0.017 1.4 N/A No No No No No No No No No No 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 Yes No No No No No No No No No No
Chastity
Reduces Birth Rate by 50%.
 50% 0.024 1.4 6 No No No Yes No No No 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 No Yes No No No No No No No No No No No No No No No
Pitfalls
Causes opponent to suffer 25% higher Defensive Military Casualties.
 125% 0.019 1.5 12 No No No No No No No No No No No No Yes 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 Yes 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 Yes No No 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 Yes No No 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 Yes No No No No No No No No No No No 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 No No No No No No No No Yes 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 Yes No No 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 Yes No No 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 No No No No No No No No Yes 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 No No No No No No No No No No Yes 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 Yes No No 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 Yes No No No No No No No No No No
Spell Description Spell
Bonus 		Difficulty Cost
Multiplier 		Duration
(Average) 		Avian Dark Elf Dwarf Faery Gnome Halfling Human Orc Undead Cle Here Mys Necro Rog Sage Shep Tact WHero Warr

Spells and Ability to Cast

For full information on all of the current Spells refer to Mystics.


The Utopia Guide
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Explore  • Growth  • Science  • Military

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Advanced MunkBot  • Invitations  • Reservations  • Utopia  • Province  • World of Legends  • Formulas
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
The Spellbook
Self Spells Army Spells Defensive Spells Animate Dead  • Greater Protection  • Minor Protection  • Town Watch  • Wrathful Smite  • †Fog
Offensive Spells Aggression  • Anonymity  • Bloodlust  • Fanaticism  • Quick Feet  • War Spoils
Army Spells Inspire Army  • Hero's Inspiration  • Patriotism
Civil Spells Mystic Security Spells Divine Shield  • Mage's Fury  • Magic Shield  • Mystic Aura  • Nature's Blessing  • Reflect Magic
Thievery Spells Clear Sight  • Illuminate Shadows  • Invisibility  • Shadowlight
Economy Spells Builders' Boon  • Fertile Lands  • Fountain of Knowledge  • Love & Peace  • Mind Focus  • Paradise • Tree of Gold  • Revelation  • †Scientific Insights
Combat Spells Economy Damage Spells Friendly Blizzard  • Droughts  • Explosions  • Greed  • Gluttony  • Vermin
Unfriendly Amnesia  • Fool's Gold  • Land Lust  • Lightning Strike  • Magic Ward  • Sloth  • Tornadoes  • †Barrier of Integrity
Population Damage Spells Friendly Storms
Unfriendly Chastity  • Fireball  • Nightmares
Hostile Meteor Showers
Interaction Spells Friendly Crystal Ball  • Crystal Eye  • Pitfalls
Unfriendly Expose Thieves  • Mystic Vortex
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