Damage per second/Magic

This article is about Magic Damage per second. For other uses, see Magic damage.

This article is about calculating magic damage output, not to be confused with the Equipment stat Magic Damage.

The staff of the dead gives a 15% boost to magic damage.

Magic damage is affected by the spell used, Equipment, prayer, skill boosts and the monster being attacked.

There are various methods by which players can increase their potential Magic damage. The effects of most equipped items can be seen in the stats window (labelled as Magic: +x and Magic damage: +x%).

Calculating your magic damage output

Step one: Calculate the maximum hit

Maximum hit is affected only by damage boosting equipment and the base max hit of the spell used.

See maximum magic hit for the information on calculating the maximum hit for a specific setup.

Step two: Calculate the effective level

Effective level is affected by your current level multiplied by prayers used and skill level boosts.

To calculate your effective level:

1. (Magic level + Magic level boost) * prayer bonus
2. Round down to nearest integer
3. Multiply by 1.45 if using Void Magic
4. +2 if using Accurate trident
5. +9
6. Round down to nearest integer

Magic Level boost:

Main article: Temporary skill boost

Boost		Level increase	Visibility	Other info
	Magic cape	1	Visible	Activating the cape's effect will increase the corresponding skill by 1.
	Oldak	±2	Visible	Requires completion of Death to the Dorgeshuun.
	Wizard's mind bomb	2 or 3	Visible	Boosts magic by ${\text{Level}}*{\frac {2}{100}}+2$. Restores 3 Hitpoints. Reduces Attack, Strength and Defence. Available to free players.
	Magic essence	3	Visible	Used during the Fairytale II - Cure a Queen quest.
	Mature Wizard's mind bomb	3 or 4	Visible	Boosts magic by ${\text{Level}}*{\frac {2}{100}}+3$. Reduces Attack, Strength and Defence.
	Magic potion	4	Visible	Allows for the use of higher level magical spells.
	Divine magic potion	4	Visible	Acts as a magic potion. Passive stat draining for magic is disabled for 5 minutes, meaning the player's magic will stay fully boosted. After the 5 minutes are over, magic level will be restored to its base level.
	Battlemage potion	4	Visible	Boosts defence by ${\text{Level}}*{\frac {15}{100}}+5$. Allows for the use of higher level magical spells.
	Divine battlemage potion	4	Visible	Acts as a battlemage potion. Passive stat draining for magic is disabled for 5 minutes, meaning the player's magic will stay fully boosted. After the 5 minutes are over, magic level will be restored to its base level.
	Bandages (Theatre of Blood)	4	Visible	Acts like a super combat, ranging, stamina, magic and prayer potion, and heals 20 hitpoints.
	Spicy stew (red spice)	±0-5	Visible	Depending on type of stew, any skill can be boosted or reduced by 0 to 5 levels randomly.
	Imbued heart	1-10	Visible	Boosts magic by ${\text{Level}}*{\frac {1}{10}}+1$. Allows for the use of higher level magical spells. Only usable once every 7 minutes.
	Kodai (-)	4-13	Visible	Boosts Magic by ${\text{Level}}*{\frac {10}{100}}+4$. Does not allow for the use of higher level magical spells. Only useable within the Chambers of Xeric
	Kodai potion	5-17	Visible	Boosts Magic by ${\text{Level}}*{\frac {13}{100}}+5$. Does not allow for the use of higher level magical spells. Only useable within the Chambers of Xeric
	Super magic potion	5-19	Visible	Boosts magic by ${\text{Level}}*{\frac {15}{100}}+5$. Allows for the use of higher level magical spells. Only usable within the Nightmare Zone.
	Overload	5-19	Visible	Boosts combat stats by ${\text{Level}}*{\frac {15}{100}}+5$ (excluding hitpoints and prayer). The boost is reapplied every 15 seconds for 5 minutes. Also damages the player for 50 Hitpoints. (This lost health is refunded after the overload ends.) Only usable within the Nightmare Zone or within the Chambers of Xeric.
	Kodai (+)	6-21	Visible	Boosts Magic by ${\text{Level}}*{\frac {16}{100}}+6$. Does not allow for the use of higher level magical spells. Only useable within the Chambers of Xeric

Note that temporarily increasing your Magic level only increases your accuracy, but not max hit, with the exception of Magic Dart, salamanders, trident of the seas/swamp and sanguinesti staff.

Prayer Multiplier:

Prayer
Mystic Will	1.05
Mystic Lore	1.10
Mystic Might	1.15
Augury	1.25

Step three: Calculate the equipment bonus

Equipment bonus is equal to the Magic Attack stat in the Equipment stats window. Wearing magic gear will increase your equipment bonus.

See here for a full list of all stat-boosting gear, or here for a list magic armour.

Add up the Magic Attack of each piece of equipment worn to find your equipment bonus.

Step four: Calculate the accuracy roll

To calculate your accuracy roll:

1. Effective level * (Equipment bonus + 64)
2. Multiply by 7/6 if wearing a slayer helm on task or killing undead monsters with an imbued salve amulet.
3. Round down to nearest integer

Step five: Calculate the hit chance

${\text{Defence Roll}}=(9+{\text{NPC magic level}})*({\text{NPC magic defence}}+64)$

If Accuracy Roll > Defence roll:

${\text{Hit Chance}}=1-{\frac {({\text{Def roll}}+2)}{2*({\text{Acc roll}})+1}}$

Else

${\text{Hit Chance}}={\frac {\text{Acc roll}}{2*({\text{Def roll}})+1}}$

Step six: Calculate the magic damage output

${\text{Damage per hit}}={\frac {{\text{Maximum hit}}*{\text{Hit Chance}}}{2}}$

To calculate the Damage Per Second, divide the Damage Per hit by the attack speed of the spell in seconds.

Spells from the Standard and Ancient spellbook have attack speed of 3 seconds, while tridents and staffs that cast their own spells have an attack speed of 2.4

If bursting/barraging, multiply the DPS by the amount of targets getting hit (Note that maximum amount of targets for every AOE spell is 9).