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[[Casting strength]] or simply CS is the primary offensive measure involved in the resolution of [[Warding]] magic.
[[Casting strength]] (CS) is the primary offensive measure involved in the resolution of [[warding]] magic.

The factors that determine a [[character]]'s CS include, [[level]], [[spell]] ranks known and relevant [[stat]] bonus/es. Additionally, there are magical spells and items that can enhance a character's CS, such as [[Spirit Slayer (240)]], [[Elemental Targetting (425)]], [[Champion's Might (1612)]], and the magic found in [[heavy quartz orb]]s.


A player character's CS is determined by [[level]], [[Spell Research]], the relevant [[statistic]] bonus(es), and certain active [[#Items and spells to boost CS|spell effects]].
{{TOCright}}
== Formula ==
== Formula ==


<div {{prettydiv|margin-right=50%}}><tt>CS = (Level &times; 3)<br> + round([[#Primary Circle Bonus|Primary Circle bonus]])<br> + ceiling([[#Secondary Circle Bonus|Secondary Circle A bonus]])<br> + ceiling([[#Secondary Circle Bonus|Secondary Circle B bonus]])<br> + round([[#Stat Bonus|Stat bonus]])<br> + round([[#Items and spells to boost CS|Spell effects]])
CS = (Level &times; 3)
+ round([[#Primary Circle Bonus|Primary Circle bonus]])
+ ceiling([[#Secondary Circle Bonus|Secondary Circle A bonus]])
+ ceiling([[#Secondary Circle Bonus|Secondary Circle B bonus]])
+ round([[#Stat Bonus|Stat bonus]])
'''round''' = standard >= .5 round up, < .5 round down.
'''round''' = standard .5 round up, < .5 round down.<br>
'''ceiling''' = always round up
'''ceiling''' = always round up</tt>
</div>


== Primary Circle Bonus ==
=== Primary Circle Bonus ===


The Primary Circle is the spell circle being cast (round normally). For example, a sorcerer casting [[Mana Disruption (702)]] would use ranks known in the [[Sorcerer Base]] circle to calculate the primary circle CS bonus. If the spell being cast is from a circle that the caster cannot train, for example, a sorcerer casting a [[Cleric Base]] spell from a blessed gem, then there is no primary circle bonus. All three trainable circles (sorcerer base, [[MnE]] and [[MnS]]) become secondary circles.
The Primary Circle is the spell circle being cast (round normally). For example, a sorcerer casting [[Mana Disruption (702)]] would use ranks known in the [[Sorcerer Base]] circle to calculate the primary circle CS bonus. If the spell being cast is from a circle that the caster cannot train, for example, a sorcerer casting a [[Cleric Base]] spell from a blessed gem, then there is no primary circle bonus. All three trainable circles (sorcerer base, [[MnE]] and [[MnS]]) become secondary circles.
Line 23: Line 20:
*Ranks 101-? above level = 0.125
*Ranks 101-? above level = 0.125


===Primary Circle Bonus Example===
'''Primary Circle Bonus Example'''


A level 60 sorcerer with 80 sorcerer base ranks would have a primary circle bonus of 75 (60 + 15) when casting sorcerer base spells. A bonus of 1 for each spell rank up to level and an additional bonus of 15 (20 * .75) for the 20 ranks above level.
A level 60 sorcerer with 80 sorcerer base ranks would have a primary circle bonus of 75 (60 + 15) when casting sorcerer base spells. A bonus of 1 for each spell rank up to level and an additional bonus of 15 (20 * .75) for the 20 ranks above level.


== Secondary Circle Bonus ==
=== Secondary Circle Bonus ===


Secondary spell circles are any other circles the character knows that do not include the cast spell. For example, a sorcerer casting [[Mana Disruption (702)]] would use spell ranks known in the [[Minor Elemental]] and [[Minor Spiritual]] circles to calculate the secondary spell circle bonuses. If the sorcerer is casting [[Elemental Strike (415)]] then the secondary circle bonus calculations would use ranks known in the [[Sorcerer Base]] and [[Minor Spiritual]] circles. For professions, such as [[ranger]]s, [[bard]]s, [[paladin]]s, [[rogue]]s and [[warrior]]s that are limited to training in only two spell circles, there is just one secondary circle bonus.
Secondary spell circles are any other circles the character knows that do not include the cast spell. For example, a sorcerer casting [[Mana Disruption (702)]] would use spell ranks known in the [[Minor Elemental]] and [[Minor Spiritual]] circles to calculate the secondary spell circle bonuses. If the sorcerer is casting [[Elemental Strike (415)]] then the secondary circle bonus calculations would use ranks known in the [[Sorcerer Base]] and [[Minor Spiritual]] circles. For professions such as [[ranger]]s, [[bard]]s, [[paladin]]s, [[rogue]]s and [[warrior]]s that are limited to training in only two spell circles, there is just one secondary circle bonus.
*Ranks up to 2/3 level = 0.333
*Ranks up to 2/3 level = 0.333
*Ranks above 2/3 level up to level = 0.1
*Ranks above 2/3 level up to level = 0.1
*Ranks above level = 0.05
*Ranks above level = 0.05


===Secondary Circle Bonus Example===
'''Secondary Circle Bonus Example'''


A level 60 sorcerer with 30 minor elemental ranks and 20 minor spiritual ranks would have secondary circle bonuses of 10 (30 * .333) from MnE ranks and 7 (20 * .333) from MnS ranks when casting sorcerer base spells.
A level 60 sorcerer with 30 minor elemental ranks and 20 minor spiritual ranks would have secondary circle bonuses of 10 (30 * .333) from MnE ranks and 7 (20 * .333) from MnS ranks when casting sorcerer base spells.


== Stat Bonus ==
=== Stat Bonus ===


Stat bonus is the value appearing after the stat when the [[INFO verb|INFO]] command is entered.
Stat bonus is the value appearing after the stat when the [[INFO]] command is entered.
* Use the [[Aura]] stat bonus for the following spell circles:
* Use the [[Aura]] stat bonus for the following spell circles:
**[[Bard Base]]
**[[Bard Base]]
Line 62: Line 59:
**[[Savant Base]] - <font color="red">Not yet implemented</font>
**[[Savant Base]] - <font color="red">Not yet implemented</font>


==CS Calculation Example ==
=== CS Calculation Example ===
'Mentok' is a level 60 [[sorcerer]]. He has 80 sorcerer base ranks, 30 minor elemental ranks, and 20 minor spiritual ranks with a 30 AURA bonus and a 25 WISDOM bonus.
'Mentok' is a level 60 [[sorcerer]]. He has 80 Sorcerer Base ranks, 30 Minor Elemental ranks, and 20 Minor Spiritual ranks with a +30 Aura bonus and a +25 Wisdom bonus.


*Level x 3 = 180
*Level x 3 = 180
Line 70: Line 67:
*20 [[Minor Spiritual]] ranks @ 0.333 = 7
*20 [[Minor Spiritual]] ranks @ 0.333 = 7
*(30 AUR bonus + 25 WIS bonus)/2 = 28
*(30 AUR bonus + 25 WIS bonus)/2 = 28
180 + 75 + 10 + 7 + 28 = 300
<div {{prettydiv|margin-right=50%}}>180 + 75 + 10 + 7 + 28 = 300<br>
Mentok's sorcerer circle CS = 300
Mentok's sorcerer circle CS = 300</div>

If he casts [[Elemental Targeting (425)]], he would gain an additional +13.5 (14) CS to Sorcerer Base.

== Items and spells to boost CS ==

CS enhancements to a specific [[sphere]] of magic have half effect for spells from related circles, and none for spells from opposing spheres. For example, Elemental Targeting provides half of its bonus to Sorcerer spells and no benefit to Spiritual spells. CS benefits from spells are all combined, including fractional gains, before the sum is rounded to an integer value.

{| {{Prettytable}}
|- align=center
! Active Effect || Bonus || Sphere || Notes
|-
| [[#Mystic Focus (1711) Bonus|Mystic Focus (1711)]] (see below) || +10 || All || available from [[heavy quartz orb]]s
|-
| [[Acuity flares]] || +3 per tier || All || stacks with [[Ensorcell (735)]]
|-
| [[Symbol of Supremacy]] || +1 per 2 ranks || All || only vs. undead; up to +13 for masters
|-
| [[Elemental Targeting (425)]] || +25 || Elemental || up to +50 based on [[MnE]] ranks
|-
| [[Elemental focus potion]] || +10 (minor)<br />+15 (lesser)<br />+25 (greater) || Elemental || on next cast
|-
| [[Champion's Might (1612)]] || +15 || Spiritual || up to +25 based on [[Paladin Base]] ranks
|-
| [[Spirit Slayer (240)]] || +25 || Spiritual || on recast; up to +45 based on [[Spiritual Mana Control]]
|-
| [[Symbol of the Proselyte (340)]] || +5 || Spiritual || on next cast; additional bonuses from [[Influence]] and [[Wisdom]]
|-
| [[Spiritual focus crystal]] || +10 (minor)<br />+15 (lesser)<br />+25 (greater) || Spiritual || on next cast
|-
| [[Mental focus crystal]] || +10 (minor)<br />+15 (lesser)<br />+25 (greater) || Mental || on next cast
|}

== Maximum CS ==

This section lists the maximum CS that can be reached by a level 100 character, assuming statistic bonuses of +25 and Elemental Targeting in effect (actual CS may be different for races with stat modifiers). The listed spell ranks are not necessarily the only configuration that achieves each result.

=== Bard ===

Bards have 202 ranks total, and can reach '''517''' Bard Base CS with:
*125 Bard Base, 77 Minor Elemental
*127 Bard Base, 75 Minor Elemental

=== Cleric ===

Clerics have 303 ranks total, and can reach '''508''' Cleric Base CS with:
*166 Cleric Base, 67 Minor Spiritual, 67 Major Spiritual
leaving 3 ranks that can be placed anywhere with no CS gain or
*170 Cleric Base, 67 Minor Spiritual, 66 Major Spiritual
*170 Cleric Base, 66 Minor Spiritual, 67 Major Spiritual

=== Empath ===

Empaths have 303 ranks total, and can reach '''508''' Empath Base CS with:
*166 Empath Base, 67 Minor Spiritual, 67 Major Spiritual
leaving 3 ranks that can be placed anywhere with no CS gain or
*170 Empath Base, 67 Minor Spiritual, 66 Major Spiritual
*170 Empath Base, 66 Minor Spiritual, 67 Major Spiritual

=== Sorcerer ===

Sorcerers have 303 ranks total, and can reach '''532''' Sorcerer Base CS with:
*162 Sorcerer Base, 73 Minor Elemental, 67 Minor Spiritual
leaving 1 rank that can be placed anywhere with no CS gain
or
*159 Sorcerer Base, 77 Minor Elemental, 67 Minor Spiritual
*162 Sorcerer Base, 77 Minor Elemental, 64 Minor Spiritual
*166 Sorcerer Base, 73 Minor Elemental, 64 Minor Spiritual
*170 Sorcerer Base, 69 Minor Elemental, 64 Minor Spiritual
''Due to the nature of hybrid circles, a spell rank configuration that includes 75+ ranks of Minor Elemental will result in +0.5 CS over a configuration without. In practice, this will result in +1 CS in any situation where a sorcerer would receive an additional fractional CS gain from a spell effect.

=== Wizard ===

Wizards have 303 ranks total, and can reach '''557''' Major Elemental CS with:
*159 Major Elemental, 77 Minor Elemental, 67 Wizard
*162 Major Elemental, 77 Minor Elemental, 64 Wizard

(In practice these configurations are uncommon. Unlike other professions, wizards rarely train purely for CS in a single spell circle and have many non-warding attack options.)

== Magic Items and Scrolls ==
{{#section:Magic Item Use|castingstrength}}
{{#section:Magic Item Use|semicirclebonus}}

{{#section:Magic Item Use|mysticfocus}}

== External Links ==
To find the optimal spell rank training to maximize your CS in in a single circle you can use this calculator.
*[http://gs4tools.appspot.com/cscalc/ Syphaer's CS Calculator] - Calculate CS with specified spell ranks
*[http://gs4tools.appspot.com/csopt/ Syphaer's CS Optimizer] - Calculate optimized spell ranks for highest CS


[[Category:Basic Mechanics]]
[[Category:Combat Mechanics]]
[[Category:Magic]]
[[Category:Magic]]

Revision as of 11:35, 9 December 2019

Casting strength (CS) is the primary offensive measure involved in the resolution of warding magic.

A player character's CS is determined by level, Spell Research, the relevant statistic bonus(es), and certain active spell effects.

Formula

CS = (Level × 3)
+ round(Primary Circle bonus)
+ ceiling(Secondary Circle A bonus)
+ ceiling(Secondary Circle B bonus)
+ round(Stat bonus)
+ round(Spell effects)

round = standard ≥ .5 round up, < .5 round down.
ceiling = always round up

Primary Circle Bonus

The Primary Circle is the spell circle being cast (round normally). For example, a sorcerer casting Mana Disruption (702) would use ranks known in the Sorcerer Base circle to calculate the primary circle CS bonus. If the spell being cast is from a circle that the caster cannot train, for example, a sorcerer casting a Cleric Base spell from a blessed gem, then there is no primary circle bonus. All three trainable circles (sorcerer base, MnE and MnS) become secondary circles.

  • Ranks up to level = 1
  • Ranks 1-20 above level = 0.75
  • Ranks 21-60 above level = 0.5
  • Ranks 61-100 above level = 0.25
  • Ranks 101-? above level = 0.125

Primary Circle Bonus Example

A level 60 sorcerer with 80 sorcerer base ranks would have a primary circle bonus of 75 (60 + 15) when casting sorcerer base spells. A bonus of 1 for each spell rank up to level and an additional bonus of 15 (20 * .75) for the 20 ranks above level.

Secondary Circle Bonus

Secondary spell circles are any other circles the character knows that do not include the cast spell. For example, a sorcerer casting Mana Disruption (702) would use spell ranks known in the Minor Elemental and Minor Spiritual circles to calculate the secondary spell circle bonuses. If the sorcerer is casting Elemental Strike (415) then the secondary circle bonus calculations would use ranks known in the Sorcerer Base and Minor Spiritual circles. For professions such as rangers, bards, paladins, rogues and warriors that are limited to training in only two spell circles, there is just one secondary circle bonus.

  • Ranks up to 2/3 level = 0.333
  • Ranks above 2/3 level up to level = 0.1
  • Ranks above level = 0.05

Secondary Circle Bonus Example

A level 60 sorcerer with 30 minor elemental ranks and 20 minor spiritual ranks would have secondary circle bonuses of 10 (30 * .333) from MnE ranks and 7 (20 * .333) from MnS ranks when casting sorcerer base spells.

Stat Bonus

Stat bonus is the value appearing after the stat when the INFO command is entered.

CS Calculation Example

'Mentok' is a level 60 sorcerer. He has 80 Sorcerer Base ranks, 30 Minor Elemental ranks, and 20 Minor Spiritual ranks with a +30 Aura bonus and a +25 Wisdom bonus.

180 + 75 + 10 + 7 + 28 = 300
Mentok's sorcerer circle CS = 300

If he casts Elemental Targeting (425), he would gain an additional +13.5 (14) CS to Sorcerer Base.

Items and spells to boost CS

CS enhancements to a specific sphere of magic have half effect for spells from related circles, and none for spells from opposing spheres. For example, Elemental Targeting provides half of its bonus to Sorcerer spells and no benefit to Spiritual spells. CS benefits from spells are all combined, including fractional gains, before the sum is rounded to an integer value.

Active Effect Bonus Sphere Notes
Mystic Focus (1711) (see below) +10 All available from heavy quartz orbs
Acuity flares +3 per tier All stacks with Ensorcell (735)
Symbol of Supremacy +1 per 2 ranks All only vs. undead; up to +13 for masters
Elemental Targeting (425) +25 Elemental up to +50 based on MnE ranks
Elemental focus potion +10 (minor)
+15 (lesser)
+25 (greater)
Elemental on next cast
Champion's Might (1612) +15 Spiritual up to +25 based on Paladin Base ranks
Spirit Slayer (240) +25 Spiritual on recast; up to +45 based on Spiritual Mana Control
Symbol of the Proselyte (340) +5 Spiritual on next cast; additional bonuses from Influence and Wisdom
Spiritual focus crystal +10 (minor)
+15 (lesser)
+25 (greater)
Spiritual on next cast
Mental focus crystal +10 (minor)
+15 (lesser)
+25 (greater)
Mental on next cast

Maximum CS

This section lists the maximum CS that can be reached by a level 100 character, assuming statistic bonuses of +25 and Elemental Targeting in effect (actual CS may be different for races with stat modifiers). The listed spell ranks are not necessarily the only configuration that achieves each result.

Bard

Bards have 202 ranks total, and can reach 517 Bard Base CS with:

  • 125 Bard Base, 77 Minor Elemental
  • 127 Bard Base, 75 Minor Elemental

Cleric

Clerics have 303 ranks total, and can reach 508 Cleric Base CS with:

  • 166 Cleric Base, 67 Minor Spiritual, 67 Major Spiritual

leaving 3 ranks that can be placed anywhere with no CS gain or

  • 170 Cleric Base, 67 Minor Spiritual, 66 Major Spiritual
  • 170 Cleric Base, 66 Minor Spiritual, 67 Major Spiritual

Empath

Empaths have 303 ranks total, and can reach 508 Empath Base CS with:

  • 166 Empath Base, 67 Minor Spiritual, 67 Major Spiritual

leaving 3 ranks that can be placed anywhere with no CS gain or

  • 170 Empath Base, 67 Minor Spiritual, 66 Major Spiritual
  • 170 Empath Base, 66 Minor Spiritual, 67 Major Spiritual

Sorcerer

Sorcerers have 303 ranks total, and can reach 532 Sorcerer Base CS with:

  • 162 Sorcerer Base, 73 Minor Elemental, 67 Minor Spiritual

leaving 1 rank that can be placed anywhere with no CS gain or

  • 159 Sorcerer Base, 77 Minor Elemental, 67 Minor Spiritual
  • 162 Sorcerer Base, 77 Minor Elemental, 64 Minor Spiritual
  • 166 Sorcerer Base, 73 Minor Elemental, 64 Minor Spiritual
  • 170 Sorcerer Base, 69 Minor Elemental, 64 Minor Spiritual

Due to the nature of hybrid circles, a spell rank configuration that includes 75+ ranks of Minor Elemental will result in +0.5 CS over a configuration without. In practice, this will result in +1 CS in any situation where a sorcerer would receive an additional fractional CS gain from a spell effect.

Wizard

Wizards have 303 ranks total, and can reach 557 Major Elemental CS with:

  • 159 Major Elemental, 77 Minor Elemental, 67 Wizard
  • 162 Major Elemental, 77 Minor Elemental, 64 Wizard

(In practice these configurations are uncommon. Unlike other professions, wizards rarely train purely for CS in a single spell circle and have many non-warding attack options.)

Magic Items and Scrolls

Activating a warding spell from a magic item or scroll will grant a CS bonus similar to spell ranks using the following formula:

CS Per AS/MIU Rank Limit
0.75 Up to level
0.5 Up to 2x level
0.33 Over 2x level

Ranger Base, Bard Base, and Paladin Base bonuses are halved in all cases.

While Mystic Focus is active, warding spells from the Elemental (MnE, MjE, Wizard, Bard) and Sorcerer spheres receive a further bonus based on the caster's Magic Item Use or Arcane Symbols skill, depending on whether the subsequent warding spell is cast from a magic item or a scroll. The Elemental/Sorcerer sphere bonus does not stack with Elemental Targeting (425).

External Links

To find the optimal spell rank training to maximize your CS in in a single circle you can use this calculator.