Magic Formulas

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 * Honor Mod * Mage's Fury Mod

Defensive Modified WPA = Raw WPA * Channeling Science * Racial Mod * Honor Mod * Mage's Fury Mod * Magic Shield Mod

Modifier Type	Active	Otherwise
Race: Elf	1.25	1
Mage's Fury: Mage's Fury	1.25 (off) / 0.75 (def)	1
Magic Shield: Magic Shield	1.2 (def)	1
Ritual: Havoc	1.2 (off)	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	Av	DE	Dw	Elf	Fa	Ha	Hu	Or	Ud	Art	Cl	He	Mer	Mys	Ro	Shep	Tact	WH	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	Yes	No	No	No	Yes	No	No	No	No	No	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	No	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	No	Yes	No	No	No	No	No	No	No	No
Quick Feet	Decreases Attack Time by 10%.	90%	0.026	0.8	2	No	No	No	No	No	Yes	Yes	No	No	No	No	No	No	No	No	No	No	No	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	No	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	No	Yes	No	No	No	No	No	No	No	No
Salvation	Reduces All Military Casualties by 15%.	85%	0.02	1.3	8	Yes	No	No	No	Yes	Yes	No	No	No	No	No	No	No	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	No	Yes	Yes	No	No	No	No	No	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	Yes	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	No	Yes	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	Yes	No	No	Yes	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	Yes	Yes	Yes	Yes	Yes	Yes	Yes	Yes	Yes	Yes	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	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	Yes	Yes	Yes	Yes	Yes	Yes	Yes	Yes	Yes	No	No	No	No	No	No	No	No	No	No
Guile	Increases Instant Spell Damage and Sabotage Operation Damage by 10% for the duration.	110%	0.039	1.5	8	No	No	No	No	No	Yes	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	10	No	No	No	No	No	No	No	No	No	No	No	No	No	No	No	No	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	Yes	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	Yes	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	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	No	No	Yes	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	Yes	No	No	No	No	No	No	No	No	No	No	No	No	No	No
Ghost Workers	Lowers Jobs required for maximum efficiency by 25%.	75%	0.038	1.65	14	No	No	No	No	No	Yes	No	No	No	Yes	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	No	No	No	No	No	No	No	No	No	No	No
Mist	10% lower resource losses in battle.	90%	0.038	1.7	4	No	No	No	No	Yes	Yes	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	Yes	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	Yes	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	Av	DE	Dw	Elf	Fa	Ha	Hu	Or	Ud	Art	Cl	He	Mer	Mys	Ro	Shep	Tact	WH	Warr

Spell Table [Offensive Spells]

Spell	Description	Spell Bonus	Difficulty	Cost Multiplier	Duration (Average)	Av	DE	Dw	Elf	Fa	Ha	Hu	Or	Ud	Art	Cl	He	Mer	Mys	Ro	Shep	Tact	WH	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	No	No	No	No	No	No	No	No	No	No	No	No	Yes	No	No	No	No	No
Gluttony	Increases Food required by 25%.	125%	0.014	1.2	12	Yes	Yes	Yes	Yes	Yes	Yes	Yes	Yes	Yes	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	Yes	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	Yes	No	No	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	Yes	No	No	Yes	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	No	No	No	No	No	No	No	No	No	No	No	No	No	No	No	No
Fireball	Unfriendly + Hostile + War: Kills ~6% of opponent's Peasants.	94%	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
Fool's Gold	Unfriendly + Hostile + War: Destroys up to 25% of target's Gold.	75%	0.02	1.5	N/A	No	No	No	No	No	No	No	No	No	No	No	Yes	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	Yes	No	No	No	No	No	No	No	No	No	No	No	No	No	No
Pitfalls	Causes opponent to suffer 15% higher Defensive Military Casualties.	115%	0.024	1.8	12	No	No	No	Yes	Yes	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	No	Yes	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	Yes	Yes	Yes	Yes	Yes	Yes	Yes	Yes	Yes	No	No	No	No	No	No	No	No	No	No
Meteor Showers	Hostile + War: Kills Peasants and Troops every Tick.		0.04	3.5	8	No	No	No	No	No	No	No	No	No	No	No	No	No	Yes	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 1.25% of opponents Acres.		0.04	4	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)	Av	DE	Dw	Elf	Fa	Ha	Hu	Or	Ud	Art	Cl	He	Mer	Mys	Ro	Shep	Tact	WH	Warr

Spells and Ability to Cast

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