Bolt spell: Difference between revisions

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(Added a "splash" column to indicate the ball spells; reworked the description of the splash mechanics to be accurate.)
(→‎AvDs: Added Astral Spear (1408) and Arcane Blast (1700))
 
(78 intermediate revisions by 18 users not shown)
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A bolt spell is any attack spell that is based on the caster's [[Spell Aiming]] skill. These spells benefit from a more offensive stance, but only result in a three (3) second [[cast roundtime]], rather than a true three (3) second [[roundtime]]. There are two types of bolt spells: true bolt spells and ball spells.
A bolt spell is any attack spell that is based on the caster's [[Spell Aiming]] skill. These spells benefit from a more offensive stance, but only result in a three (3) second [[cast roundtime]], rather than a true three (3) second [[roundtime]] (RT). There are two types of bolt spells: true bolt spells and ball spells. Bolt spells may be {{boldmono|[[CHANNEL]]}}ed for a higher chance of hitting a vital area and subjects the attack to less [[critical randomization]]. The 3 second hard RT imposed by {{boldmono|CHANNEL}}ing cannot be mitigated by any haste effect.


==Lore Ranks and Damage Factor Bonuses==
== Ball Spells ==


The [[Damage Factor]]s (DFs) for many bolt spells can be increased by training in the appropriate lore skill. The DF bonus is based on the number of ranks trained. For the following spells the DF increase is 0.001 per rank up to 50 lore ranks, 0.001 per two ranks for ranks 51 to 100 and 0.001 per four ranks for ranks greater than 100. A character with 200 lore ranks would see a total DF increase of 0.100.
Ball spells are a subgroup of bolt spells that do less damage on a single target but have the ability to perform additional splash damage on several creatures (including the original target) due to explosion of the ball upon impact. Two rolls determine how many creatures you hit, and there is a skill that influences each of the two rolls.
* The first roll determines how many creatures it is possible to splash and is influenced by a different lore depending on the spell: [[Elemental Lore, Fire]] for [[Major Fire (908)]], [[Elemental Lore, Water]] for [[Major Cold (907)]] or [[Spiritual Lore, Summoning]] for [[Fire Spirit (111)]]. [[Major Acid (926)]] has no influencing lore.
* The second roll determines how many creatures are actually splashed, with the first roll determining the maximum of the second. The appropriate Lore skill increases the maximum for the first roll, while MOC increases the result for the second roll.


*[[Fire Spirit (111)]]
The normal--no additional training ranks in either Lore or MOC--base range of results is eight (8) for splash damage, so imagine rolling an eight-sided die (d8).
*[[Web (118)]]
*[[Holy Bolt (306)]] ([[Undead]] only)
*[[Hand of Tonis (505)]]
*[[Hurl Boulder (510)]]
*[[Disintegrate (705)]]
*[[Balefire (713)]]
*[[Minor Water (903)]]
*[[Minor Fire (906)]]
*[[Major Cold (907)]]
*[[Major Fire (908)]]
*[[Empathic Assault (1110)]]
*[[Telekinesis (1206)]]
*[[Minor Cold (1709)]]


For the following spells the damage factor increase is 0.001 per two ranks up to 100 ranks and 0.001 per four ranks for ranks greater than 100. With 200 lore ranks the DF bonus is 0.075.
For example, let's say you've trained enough in [[Elemental Lore, Fire]] to increase the maximum possible number of creatures splashed by five with Major Fire and have trained six times in MOC.
* With twenty creatures in the room, your first roll can be between one and thirteen (base of 1-8 plus 5 for Lore skill, or 1-13); you cannot possibly hit creatures numbered fourteen through twenty.
*:1) It rolls a ten, meaning you ''can'' hit up to ten creatures.
*The next roll can be anything between one and ten.
*:2) It rolls a one, but your six ranks of MOC result in splash damage to seven creatures.


*[[Minor Shock (901)]]
On the other hand, when facing a smaller group ''all'' of your Lore skill benefits are still applicable: if there are only 7 creatures in the room and your Lore skill gives you the possibility of +15 targets, your first die roll will be 1-23 [base of 1-8 + 15 from Lore skill]. This makes it ''very'' likely that you will actually splash all seven targets most of the time, even if you have no MOC in this instance.
*[[Minor Acid (904)]]
*[[Major Shock (910)]]
*[[Minor Steam (1707)]]
*[[Major Acid (1710)]]


==Ball Spells==
'''It should also be noted that the first roll takes precedence, such that if your maximum possible number of creatures hit is two, you will not hit more than two, regardless of MOC training.'''

:"A lousy die roll... is a lousy die roll."
Ball spells are a subgroup of bolt spells that do less damage on a single target but have the ability to perform additional splash damage on several creatures (including the original target) due to explosion of the ball upon impact.

There are four steps to determine the number of targets struck by a ball spell.

;Step 1

A random number <code>X</code> is generated between 0 and 8, with lower numbers more likely to be chosen.

;Step 2

Based on the caster's ranks in the appropriate Lore, a bonus is added to the initial <code>X</code> value (see table below).

The skills taken into account are:
*[[Spiritual Lore, Summoning]] for [[Fire Spirit (111)]]
*[[Sorcerous Lore, Demonology]] for [[Balefire (713)]]
*[[Elemental Lore, Water]] for [[Major Cold (907)]]
*[[Elemental Lore, Fire]] for [[Major Fire (908)]]
*[[Elemental Lore, Earth]] for [[Major Acid (1710)]] (Water lore will ''not'' work for Major Acid.)

:{| class="wikitable" style="text-align:center;"
|+ '''Lore rank thresholds/Potential targets'''
|-
!style="text-align:right;"|Lore ranks||1||2||4||7||11||16||22||29||37||46||56
|-
|style="text-align:right;"|Potential targets||1||2||3||4||5||6||7||8||9||10||11
|-
|colspan="12"|
|-
!style="text-align:right;"|Lore ranks||67||79||92||106||121||137||154||172||191||211||232
|-
|style="text-align:right;"|Potential targets||12||13||14||15||16||17||18||19||20||21||22
|}

The exact bonus from lore is <code>BONUS = [1 + sqrt((8 * Lore Ranks) - 7))]/2</code>.

;Step 3

Another random number <code>Y</code> is generated between 0 and <code>(X + BONUS)</code>.

;Step 4

The caster's training in [[Multi-Opponent Combat]] (MOC) is added to <code>Y</code>.

The final number of targets struck by the splash effect is the smaller of <code>(X + BONUS)</code> and <code>(Y + MOC Ranks)</code>


-----
-----
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For those who prefer a more intuitive explanation, the appropriate lore determines the minimum size of the explosion caused by the spell whereas MOC determines how well you can place the explosion such that it hits the most targets. (A practical example: ''water balloons''. The appropriate Lore skill determines what ''size'' water balloon you can throw; MOC ranks determine how accurately you place it within the group of targets with which you are dealing.)
For those who prefer a more intuitive explanation, the appropriate lore determines the minimum size of the explosion caused by the spell whereas MOC determines how well you can place the explosion such that it hits the most targets. (A practical example: ''water balloons''. The appropriate Lore skill determines what ''size'' water balloon you can throw; MOC ranks determine how accurately you place it within the group of targets with which you are dealing.)


== Damage Factors ==
==Damage Factors==
*'''Bold''' indicates highest value, [[Minor Shock (901)]] has lowest DF value against all armor types
*'''V''' indicates varies with associated spell cast


{| {{prettytable}}
{|class="wikitable sortable" {{prettytable}}
!Spell
!Spell
!Mana Cost
!Robes
!Cloth
!Soft Leather
!Hard Leather
!Leather
!Scale
!Chain
!Chain
!Plate
!Plate
!Splash
!Splash
!Lore DF Bonus
|- align=center
|- align=center
|[[111]]
|[[Fire Spirit (111)]]
|11
|0.400
|0.400
|0.333
|0.333
Line 42: Line 102:
|0.244
|0.244
|'''Yes'''
|'''Yes'''
|'''Yes''' ([[Spiritual Lore, Summoning|Summoning]])
|- align=center
|- align=center
|[[306]]
|[[Web (118)]]
|0.750
|9
|0.520
|0.420
|0.330
|0.300
|0.210
|No
|'''Yes''' ([[Spiritual Lore, Summoning|Summoning]])
|- align=center
|[[Holy Bolt (306)]](L)*
|6
|0.455
|0.345
|0.283
|0.242
|0.173
|No
|No
|- align=center
|[[Holy Bolt (306)]](U)*
|6
|'''0.750
|0.500
|0.500
|0.405
|0.405
Line 50: Line 132:
|0.265
|0.265
|No
|No
|'''Yes''' ([[Spiritual Lore, Religion|Religion]])
|- align=center
|- align=center
|[[505]]
|[[Holy Bolt (306)]](Evoke)
| 0.530
|6
| -
|0.600
| -
|0.410
| -
|0.310
| -
|0.290
|0.270
|No
|'''Yes''' ([[Spiritual Lore, Religion|Religion]])
|- align=center
|[[Hand of Tonis (505)]]
|5
|0.520
|0.420
|0.330
|0.300
|0.210
|No
|No
|'''Yes''' ([[Elemental Lore, Air|Air]])
|- align=center
|- align=center
|[[510]]
|[[Hurl Boulder (510)]]
|10
|0.710
|0.710
|0.520
|0.520
|0.460
|'''0.460
|0.435
|'''0.435
|0.440
|'''0.440
|No
|No
|'''Yes''' ([[Elemental Lore, Earth|Earth]])
|- align=center
|- align=center
|[[901]]
|[[Cone of Elements (518)]]
|0.150
|18
|V
|V
|V
|V
|V
|V
|'''Yes''' (special)
|- align=center
|[[Disintegrate (705)]]
|5
|0.525
|0.383
|0.314
|0.350
|0.197
|No
|'''Yes''' ([[Sorcerous Lore, Necromancy|Necromancy]])
|- align=center
|[[Balefire (713)]]
|13
|0.435
|0.360
|0.325
|0.310
|0.295
|'''Yes'''
|'''Yes''' ([[Sorcerous Lore, Demonology|Demonology]])
|- align=center
|[[Minor Shock (901)]]
|1
|0.149
|0.133
|0.133
|0.111
|0.111
Line 74: Line 202:
|0.128
|0.128
|No
|No
|'''Yes''' ([[Elemental Lore, Air|Air]] and/or [[Elemental Lore, Water|Water]])
|- align=center
|- align=center
|[[903]]
|[[Minor Water (903)]]
|3
|0.455
|0.455
|0.345
|0.345
Line 82: Line 212:
|0.173
|0.173
|No
|No
|'''Yes''' (Water)
|- align=center
|- align=center
|[[904]]
|[[Minor Acid (904)]]
|4
|0.525
|0.525
|0.383
|0.383
Line 90: Line 222:
|0.197
|0.197
|No
|No
|'''Yes''' ([[Elemental Lore, Earth|Earth]] and/or [[Elemental Lore, Water|Water]])
|- align=center
|- align=center
|[[906]]
|[[Minor Fire (906)]]
|6
|0.667
|0.667
|0.455
|0.455
Line 98: Line 232:
|0.303
|0.303
|No
|No
|'''Yes''' ([[Elemental Lore, Fire|Fire]])
|- align=center
|- align=center
|[[907]]
|[[Major Cold (907)]]
|7
|0.445
|0.445
|0.350
|0.350
Line 106: Line 242:
|0.208
|0.208
|'''Yes'''
|'''Yes'''
|'''Yes''' ([[Elemental Lore, Water|Water]])
|- align=center
|- align=center
|[[908]]
|[[Major Fire (908)]]
|8
|0.400
|0.400
|0.333
|0.333
Line 114: Line 252:
|0.244
|0.244
|'''Yes'''
|'''Yes'''
|'''Yes''' ([[Elemental Lore, Fire|Fire]])
|- align=center
|- align=center
|[[910]]
|[[Major Shock (910)]]
|0.750
|10
|0.555
|'''0.750
|0.434
|'''0.555
|0.433
|0.415
|0.415
|0.433
|0.433
|No
|No
|'''Yes''' ([[Elemental Lore, Air|Air]] and/or [[Elemental Lore, Water|Water]])
|- align=center
|- align=center
|[[926]]
|[[Empathic Assault (1110)]]
|10
|0.680
|0.490
|0.365
|0.280
|0.205
|No
|'''Yes''' ([[Mental Lore, Transformation|Transformation]])
|- align=center
|[[Telekinesis (1206)]]**
|6
|0.600
|0.600
|0.335
|0.410
|0.275
|0.310
|0.370
|0.290
|0.196
|0.270
|No
|'''Yes''' ([[Mental Lore, Manipulation|Manipulation]])
|- align=center
|[[Telekinesis (1206)]]**
|7
|0.625
|0.425
|0.325
|0.320
|0.290
|No
|'''Yes''' ([[Mental Lore, Manipulation|Manipulation]])
|- align=center
|[[Telekinesis (1206)]]**
|8
|0.650
|0.450
|0.350
|0.340
|0.310
|No
|'''Yes''' ([[Mental Lore, Manipulation|Manipulation]])
|- align=center
|[[Telekinesis (1206)]]**
|9
|0.675
|0.475
|0.375
|0.360
|0.330
|No
|'''Yes''' ([[Mental Lore, Manipulation|Manipulation]])
|- align=center
|[[Telekinesis (1206)]]**
|10
|0.700
|0.500
|0.400
|0.375
|0.350
|No
|'''Yes''' ([[Mental Lore, Manipulation|Manipulation]])
|- align=center
|[[Astral Spear (1408)]]
|8
|0.650
|0.450
|0.350
|0.350
|0.310
|No
|No?
|- align=center
|[[Arcane Blast (1700)]]
|0
|0.149
|0.133
|0.111
|0.122
|0.128
|No
|No
|- align=center
|[[Minor Steam (1707)]]
|4
|0.600
|0.550
|0.385
|0.333
|0.267
|No
|No
|'''Yes''' ([[Elemental Lore, Fire|Fire]] and/or [[Elemental Lore, Water|Water]])
|- align=center
|- align=center
|[[928]]
|[[Minor Cold (1709)]] ***
|3
|0.667
|0.667
|0.460
|0.460
Line 138: Line 362:
|0.355
|0.355
|No
|No
|'''Yes''' ([[Elemental Lore, Water|Water]])
|- align=center
|- align=center
|[[1110]]
|[[Major Acid (1710)]]
|0.750
|6
|0.500
|0.600
|0.405
|0.333
|0.400
|0.275
|0.265
|0.370
|No
|0.196
|'''Yes'''
|'''Yes''' ([[Elemental Lore, Earth|Earth]] and/or [[Elemental Lore, Water|Water]])
|}
|}
: *<i>(L) is living targets and (U) is undead targets.</i>
: **<i>can be cast with a variable amount of mana, denoted in the Mana Cost column</i>
: ***<i>requires a cast of 512 to start, and 10 ranks of [[Elemental Lore, Water|Water]]</i>


== AvDs ==
== AvDs ==
* '''V''' denotes a variable AvD. Actual AvDs are determined by the spell used with [[Cone of Elements (518)]]


{| {{prettytable}}
{|class="wikitable sortable" {{prettytable}}
!Spell
!Spell
!Robes
!Cloth
!
! colspan=4 | Soft Leather
! colspan=4 | Hard Leather
! colspan=4 | Leather
!
! colspan=4 | Scale
!
! colspan=4 | Chain
! colspan=4 | Chain
!
! colspan=4 | Plate
! colspan=4 | Plate
|- align=center
|- align=center
! [[AsG]]
! [[AsG]]
!1
!1
!
!5
!5
!6
!6
!7
!7
!8
!8
!
!9
!9
!10
!10
!11
!11
!12
!12
!
!13
!13
!14
!14
!15
!15
!16
!16
!
!17
!17
!18
!18
Line 177: Line 416:
!20
!20
|- align=center
|- align=center
|[[901]]
|[[Fire Spirit (111)]]
|70
|
|60
|59
|58
|57
|
|50
|48
|46
|44
|
|45
|41
|37
|33
|
|40
|34
|28
|22
|- align=center
|[[Web (118)]]
|52
|
|44
|43
|42
|41
|
|39
|37
|35
|35
|33
|
|44
|40
|36
|32
|
|52
|46
|40
|34
|- align=center
|[[Holy Bolt (306)]](L)*
|30
|
|30
|29
|28
|27
|
|29
|27
|25
|23
|
|31
|27
|23
|19
|
|25
|19
|13
|7
|- align=center
|[[Holy Bolt (306)]](U)*
|40
|
|38
|37
|36
|35
|
|35
|33
|31
|29
|
|37
|33
|29
|25
|
|32
|26
|20
|14
|- align=center
|[[Hand of Tonis (505)]]
|52
|
|44
|43
|42
|41
|
|39
|37
|35
|33
|
|44
|40
|36
|32
|
|52
|46
|40
|34
|- align=center
|[[Hurl Boulder (510)]]
|40
|
|40
|39
|38
|37
|
|40
|38
|36
|34
|
|40
|36
|32
|28
|
|40
|34
|28
|22
|- align=center
|[[Cone of Elements (518)]]
|V
|
|V
|V
|V
|V
|
|V
|V
|V
|V
|
|V
|V
|V
|V
|
|V
|V
|V
|V
|- align=center
|[[Disintegrate (705)]]
|40
|
|38
|37
|36
|35
|
|35
|33
|31
|29
|
|37
|33
|29
|25
|
|32
|26
|20
|14
|- align=center
|[[Balefire (713)]]
|65
|
|55
|54
|53
|52
|
|45
|43
|41
|39
|
|38
|34
|30
|26
|
|30
|24
|18
|12
|- align=center
|[[Minor Shock (901)]]
|35
|
|25
|25
|24
|24
|23
|23
|22
|22
|
|30
|30
|28
|28
|26
|26
|24
|24
|
|33
|33
|29
|29
|25
|25
|21
|21
|
|36
|36
|30
|30
Line 196: Line 646:
|18
|18
|- align=center
|- align=center
|[[903]]
|[[Minor Water (903)]]
|30
|30
|
|30
|30
|29
|29
|28
|28
|27
|27
|
|29
|29
|27
|27
|25
|25
|23
|23
|
|31
|31
|27
|27
|23
|23
|19
|19
|
|25
|25
|19
|19
Line 215: Line 669:
|7
|7
|- align=center
|- align=center
|[[904]]
|[[Minor Acid (904)]]
|40
|40
|
|38
|38
|37
|37
|36
|36
|35
|35
|
|35
|35
|33
|33
|31
|31
|29
|29
|
|37
|37
|33
|33
|29
|29
|25
|25
|
|32
|32
|26
|26
Line 234: Line 692:
|14
|14
|- align=center
|- align=center
|[[906]]
|[[Minor Fire (906)]]
|55
|55
|
|37
|37
|36
|36
|35
|35
|34
|34
|
|33
|33
|31
|31
|29
|29
|27
|27
|
|42
|42
|38
|38
|34
|34
|30
|30
|
|44
|44
|38
|38
Line 253: Line 715:
|26
|26
|- align=center
|- align=center
|[[907]]
|[[Major Cold (907)]]
|65
|65
|
|55
|55
|54
|54
|53
|53
|52
|52
|
|45
|45
|43
|43
|41
|41
|39
|39
|
|40
|40
|36
|36
|32
|32
|28
|28
|
|35
|35
|29
|29
Line 272: Line 738:
|17
|17
|- align=center
|- align=center
|[[908]]
|[[Major Fire (908)]]
|70
|70
|
|60
|60
|59
|59
|58
|58
|57
|57
|
|50
|50
|48
|48
|46
|46
|44
|44
|
|45
|45
|41
|41
|37
|37
|33
|33
|
|40
|40
|34
|34
Line 291: Line 761:
|22
|22
|- align=center
|- align=center
|[[910]]
|[[Major Shock (910)]]
|50
|50
|
|40
|40
|39
|39
|38
|38
|37
|37
|
|45
|45
|43
|43
|41
|41
|39
|39
|
|48
|48
|44
|44
|40
|40
|36
|36
|
|51
|51
|45
|45
|39
|39
|33
|33
|- align=center
|[[Empathic Assault (1110)]]
|55
|
|45
|44
|43
|42
|
|30
|28
|26
|24
|
|15
|11
|7
|3
|
|7
|1
|(-5)
|(-11)
|- align=center
|[[Telekinesis (1206)]]
|52
|
|44
|43
|42
|41
|
|39
|37
|35
|33
|
|44
|40
|36
|32
|
|52
|46
|40
|34
|- align=center
|[[Astral Spear (1408)]]
|52
|
|44
|43
|42
|41
|
|39
|37
|35
|33
|
|44
|40
|36
|32
|
|52
|46
|40
|34
|- align=center
|[[Arcane Blast (1700)]]
|35
|
|25
|24
|23
|22
|
|30
|28
|26
|24
|
|33
|29
|25
|21
|
|36
|30
|24
|18
|- align=center
|[[Minor Steam (1707)]]
|70
|
|60
|59
|58
|57
|
|50
|48
|46
|44
|
|45
|41
|37
|33
|
|40
|34
|28
|22
|- align=center
|[[Minor Cold (1709)]]
|45
|
|40
|39
|38
|37
|
|35
|33
|31
|29
|
|40
|36
|32
|28
|
|30
|24
|18
|12
|- align=center
|[[Major Acid (1710)]]
|65
|
|55
|54
|53
|52
|
|45
|43
|41
|39
|
|42
|38
|34
|30
|
|33
|27
|21
|15
|}
|}
: *<i>(L) is living targets and (U) is undead targets.</i>

== Critical Weighting ==

Critical weighting is applied to bolt attacks using the formula: {{mono|trunc((INT + WIS) / 6)}}.<ref>GM Naijin, [https://discordapp.com/channels/226045346399256576/532373273816858636/692608410356809738 "Conversation About Statistics-Related CER"], ''GemStone IV Discord#Mechanics'', 2020-03-26T05:35:00Z</ref> The following table shows the aforementioned relationship.

{|
|
:{| {{prettytable|1=text-align:center; width:100%; margin-left:0px;}}
!align=right style="width:240px;"|[[Intuition]] + [[Wisdom]] Bonus||0||6||12||18||24||30||36||42||48||54||60||66||72||78||84||90||96
|-
!align=right|Critical Weighting
|0||1||2||3||4||5||6||7||8||9||10||11||12||13||14||15||16
|}
|}

==Tactical Considerations==

Analysis of the ball spells' splash situation leads to the conclusion that having at least one rank of the relevant Lore skill plus one rank of MOC will guarantee a splash to an additional creature--assuming that at least two creatures are in the room--because even if a 0 is rolled the first time the "possible" range is 0-1 (due to the full Lore benefit being added); on the second roll (a range of 0-1) even if 0 is rolled again then the rank of MOC will enable the splash effect.
:Players might regard this as the effective spell-casting equivalent of [[MSTRIKE (verb)|MSTRIKE]].

Given that all of the Lore skills that affect splashes are [[seed]] 1 progressions, the rate at which additional targets are added is quite quick. A modest investment of training points for ten (10) ranks of Lore skill yields +4 targets--a +50% addition to the "possible" target pool--and guarantees that at least four (4) targets will always have the capability to be splashed ("possible" roll will be 0-8 with +4 added).

==Resources==
*[[Attack strength#Bolt_Spells|Attack strength (Bolt Spells)]]
*[[/saved posts|Saved posts]]
*[[Elemental_lore_review_(saved_posts)#Bolt_DF|Elemental lore review (saved posts)]]
*[[Lore chart]]

==References==


[[Category:Combat Mechanics]]
{{Wizard}}
[[Category: Spells]]
[[Category:Magic]]

Latest revision as of 17:14, 7 December 2023

A bolt spell is any attack spell that is based on the caster's Spell Aiming skill. These spells benefit from a more offensive stance, but only result in a three (3) second cast roundtime, rather than a true three (3) second roundtime (RT). There are two types of bolt spells: true bolt spells and ball spells. Bolt spells may be CHANNELed for a higher chance of hitting a vital area and subjects the attack to less critical randomization. The 3 second hard RT imposed by CHANNELing cannot be mitigated by any haste effect.

Lore Ranks and Damage Factor Bonuses

The Damage Factors (DFs) for many bolt spells can be increased by training in the appropriate lore skill. The DF bonus is based on the number of ranks trained. For the following spells the DF increase is 0.001 per rank up to 50 lore ranks, 0.001 per two ranks for ranks 51 to 100 and 0.001 per four ranks for ranks greater than 100. A character with 200 lore ranks would see a total DF increase of 0.100.

For the following spells the damage factor increase is 0.001 per two ranks up to 100 ranks and 0.001 per four ranks for ranks greater than 100. With 200 lore ranks the DF bonus is 0.075.

Ball Spells

Ball spells are a subgroup of bolt spells that do less damage on a single target but have the ability to perform additional splash damage on several creatures (including the original target) due to explosion of the ball upon impact.

There are four steps to determine the number of targets struck by a ball spell.

Step 1

A random number X is generated between 0 and 8, with lower numbers more likely to be chosen.

Step 2

Based on the caster's ranks in the appropriate Lore, a bonus is added to the initial X value (see table below).

The skills taken into account are:

Lore rank thresholds/Potential targets
Lore ranks 1 2 4 7 11 16 22 29 37 46 56
Potential targets 1 2 3 4 5 6 7 8 9 10 11
Lore ranks 67 79 92 106 121 137 154 172 191 211 232
Potential targets 12 13 14 15 16 17 18 19 20 21 22

The exact bonus from lore is BONUS = [1 + sqrt((8 * Lore Ranks) - 7))]/2.

Step 3

Another random number Y is generated between 0 and (X + BONUS).

Step 4

The caster's training in Multi-Opponent Combat (MOC) is added to Y.

The final number of targets struck by the splash effect is the smaller of (X + BONUS) and (Y + MOC Ranks)


For those who prefer a more intuitive explanation, the appropriate lore determines the minimum size of the explosion caused by the spell whereas MOC determines how well you can place the explosion such that it hits the most targets. (A practical example: water balloons. The appropriate Lore skill determines what size water balloon you can throw; MOC ranks determine how accurately you place it within the group of targets with which you are dealing.)

Damage Factors

  • Bold indicates highest value, Minor Shock (901) has lowest DF value against all armor types
  • V indicates varies with associated spell cast
Spell Mana Cost Cloth Leather Scale Chain Plate Splash Lore DF Bonus
Fire Spirit (111) 11 0.400 0.333 0.270 0.256 0.244 Yes Yes (Summoning)
Web (118) 9 0.520 0.420 0.330 0.300 0.210 No Yes (Summoning)
Holy Bolt (306)(L)* 6 0.455 0.345 0.283 0.242 0.173 No No
Holy Bolt (306)(U)* 6 0.750 0.500 0.405 0.400 0.265 No Yes (Religion)
Holy Bolt (306)(Evoke) 6 0.600 0.410 0.310 0.290 0.270 No Yes (Religion)
Hand of Tonis (505) 5 0.520 0.420 0.330 0.300 0.210 No Yes (Air)
Hurl Boulder (510) 10 0.710 0.520 0.460 0.435 0.440 No Yes (Earth)
Cone of Elements (518) 18 V V V V V V Yes (special)
Disintegrate (705) 5 0.525 0.383 0.314 0.350 0.197 No Yes (Necromancy)
Balefire (713) 13 0.435 0.360 0.325 0.310 0.295 Yes Yes (Demonology)
Minor Shock (901) 1 0.149 0.133 0.111 0.122 0.128 No Yes (Air and/or Water)
Minor Water (903) 3 0.455 0.345 0.283 0.242 0.173 No Yes (Water)
Minor Acid (904) 4 0.525 0.383 0.314 0.350 0.197 No Yes (Earth and/or Water)
Minor Fire (906) 6 0.667 0.455 0.345 0.323 0.303 No Yes (Fire)
Major Cold (907) 7 0.445 0.350 0.245 0.217 0.208 Yes Yes (Water)
Major Fire (908) 8 0.400 0.333 0.270 0.256 0.244 Yes Yes (Fire)
Major Shock (910) 10 0.750 0.555 0.433 0.415 0.433 No Yes (Air and/or Water)
Empathic Assault (1110) 10 0.680 0.490 0.365 0.280 0.205 No Yes (Transformation)
Telekinesis (1206)** 6 0.600 0.410 0.310 0.290 0.270 No Yes (Manipulation)
Telekinesis (1206)** 7 0.625 0.425 0.325 0.320 0.290 No Yes (Manipulation)
Telekinesis (1206)** 8 0.650 0.450 0.350 0.340 0.310 No Yes (Manipulation)
Telekinesis (1206)** 9 0.675 0.475 0.375 0.360 0.330 No Yes (Manipulation)
Telekinesis (1206)** 10 0.700 0.500 0.400 0.375 0.350 No Yes (Manipulation)
Astral Spear (1408) 8 0.650 0.450 0.350 0.350 0.310 No No?
Arcane Blast (1700) 0 0.149 0.133 0.111 0.122 0.128 No No
Minor Steam (1707) 4 0.600 0.550 0.385 0.333 0.267 No Yes (Fire and/or Water)
Minor Cold (1709) *** 3 0.667 0.460 0.385 0.375 0.355 No Yes (Water)
Major Acid (1710) 6 0.600 0.333 0.275 0.370 0.196 Yes Yes (Earth and/or Water)
*(L) is living targets and (U) is undead targets.
**can be cast with a variable amount of mana, denoted in the Mana Cost column
***requires a cast of 512 to start, and 10 ranks of Water

AvDs

Spell Cloth Leather Scale Chain Plate
AsG 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Fire Spirit (111) 70 60 59 58 57 50 48 46 44 45 41 37 33 40 34 28 22
Web (118) 52 44 43 42 41 39 37 35 33 44 40 36 32 52 46 40 34
Holy Bolt (306)(L)* 30 30 29 28 27 29 27 25 23 31 27 23 19 25 19 13 7
Holy Bolt (306)(U)* 40 38 37 36 35 35 33 31 29 37 33 29 25 32 26 20 14
Hand of Tonis (505) 52 44 43 42 41 39 37 35 33 44 40 36 32 52 46 40 34
Hurl Boulder (510) 40 40 39 38 37 40 38 36 34 40 36 32 28 40 34 28 22
Cone of Elements (518) V V V V V V V V V V V V V V V V V
Disintegrate (705) 40 38 37 36 35 35 33 31 29 37 33 29 25 32 26 20 14
Balefire (713) 65 55 54 53 52 45 43 41 39 38 34 30 26 30 24 18 12
Minor Shock (901) 35 25 24 23 22 30 28 26 24 33 29 25 21 36 30 24 18
Minor Water (903) 30 30 29 28 27 29 27 25 23 31 27 23 19 25 19 13 7
Minor Acid (904) 40 38 37 36 35 35 33 31 29 37 33 29 25 32 26 20 14
Minor Fire (906) 55 37 36 35 34 33 31 29 27 42 38 34 30 44 38 32 26
Major Cold (907) 65 55 54 53 52 45 43 41 39 40 36 32 28 35 29 23 17
Major Fire (908) 70 60 59 58 57 50 48 46 44 45 41 37 33 40 34 28 22
Major Shock (910) 50 40 39 38 37 45 43 41 39 48 44 40 36 51 45 39 33
Empathic Assault (1110) 55 45 44 43 42 30 28 26 24 15 11 7 3 7 1 (-5) (-11)
Telekinesis (1206) 52 44 43 42 41 39 37 35 33 44 40 36 32 52 46 40 34
Astral Spear (1408) 52 44 43 42 41 39 37 35 33 44 40 36 32 52 46 40 34
Arcane Blast (1700) 35 25 24 23 22 30 28 26 24 33 29 25 21 36 30 24 18
Minor Steam (1707) 70 60 59 58 57 50 48 46 44 45 41 37 33 40 34 28 22
Minor Cold (1709) 45 40 39 38 37 35 33 31 29 40 36 32 28 30 24 18 12
Major Acid (1710) 65 55 54 53 52 45 43 41 39 42 38 34 30 33 27 21 15
*(L) is living targets and (U) is undead targets.

Critical Weighting

Critical weighting is applied to bolt attacks using the formula: trunc((INT + WIS) / 6).[1] The following table shows the aforementioned relationship.

Intuition + Wisdom Bonus 0 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96
Critical Weighting 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Tactical Considerations

Analysis of the ball spells' splash situation leads to the conclusion that having at least one rank of the relevant Lore skill plus one rank of MOC will guarantee a splash to an additional creature--assuming that at least two creatures are in the room--because even if a 0 is rolled the first time the "possible" range is 0-1 (due to the full Lore benefit being added); on the second roll (a range of 0-1) even if 0 is rolled again then the rank of MOC will enable the splash effect.

Players might regard this as the effective spell-casting equivalent of MSTRIKE.

Given that all of the Lore skills that affect splashes are seed 1 progressions, the rate at which additional targets are added is quite quick. A modest investment of training points for ten (10) ranks of Lore skill yields +4 targets--a +50% addition to the "possible" target pool--and guarantees that at least four (4) targets will always have the capability to be splashed ("possible" roll will be 0-8 with +4 added).

Resources

References

  1. GM Naijin, "Conversation About Statistics-Related CER", GemStone IV Discord#Mechanics, 2020-03-26T05:35:00Z