A safe reading order for magical and verified hybrid skills, with family-specific ordering kept explicit.
Magic ATK → skill coefficient → Magic DEF and penetration → Magic Damage → Skill Damage → ranged → element, race, size, and MVP → Final Damage → critical → encounter rules → caps
Follow this order with your own build, but use the grouping and special branches shown by your skill family. The numerical example below demonstrates the mechanic rather than claiming one universal formula for every skill.
Enter the values from your character, skill, and target. Results update as you type, stay in your browser, and are never saved.
Choose Auto Attack or an imported hero damage skill for this magic lane. The client coefficient and event count load automatically.
Client coefficient and event count load automatically. Only the matching Skill or Auto Attack Damage input is active.
Choose the instance first, then its difficulty, then the MVP. Each step limits the next list and the final choice loads the imported target stats.
Enter the totals from the build you use with the selected hero and attack. Action-specific, target-qualified, and Final Damage modifiers remain separate stages.
The generic magic pipeline produces 24,003 damage per event and 48,006 across Ais Symphony's two events with these player and target inputs.
These probabilities apply only when every selected damage event rolls independently.
This calculator follows the ordering described on this page. Skill-specific rewrites and unsupported build lanes still require their own verified family support.
This starts from Ais Wallenstein and Symphony of Wind and Fire Lv. 10 in the hero and skill selectors. The generic magic pipeline uses the imported 12,000% coefficient and two damage events; Ais's dedicated article remains the source for her exact hybrid stat rebuild.
- Magic ATK
- 30,000
- Ais Symphony Lv. 10 coefficient
- 12,000% (×120.00)
- Damage events
- 2 independently calculated events
- Target
- Crystallized Lugan · Bagg Warrior
- Target Magic DEF
- 5,000
- Target DEF Percentage Defense
- +80%
- Ignore Magic DEF
- 180%
- Magic Penetration
- 20%
- Target Magic Reduction
- 10%
- Magic Damage
- 20%
- Skill Damage
- 20%
- Target Skill Damage Reduction
- 10%
- Ranged Damage
- 10%
- Attack Element
- Wind
- Target element
- Wind
- All Element Damage
- 20%
- Target Element Damage Reduction
- 10%
- All Race Damage
- 0%
- All Size Damage
- 10%
- MVP Damage
- 15%
- Final Damage
- 20%
- Conditional critical multiplier
- 150% (×1.50)
- Bagg Warrior encounter divisor
- 150
-
1
Ais Symphony coefficient3,600,000
30,000 × 120.00 -
2
Effective Magic DEF0
5,000 × max(1 + 0.80 − 1.80, 0) -
3
Magic DEF multiplier1.000000
max((1,000 + 0) ÷ (1,000 + 10 × 0), 1 ÷ (1 + 13 × 0 ÷ 30,000)) -
4
After Magic DEF3,600,000
3,600,000 × 1.00 -
5
Magic Penetration vs reduction3,960,000
3,600,000 × max(1 + 0.20 − 0.10, 0.15) -
6
Magic Damage4,752,000
3,960,000 × 1.20 -
7
Skill Damage vs reduction5,227,200
4,752,000 × max(1 + 0.20 − 0.10, 0.15) -
8
Ranged Damage5,749,920
5,227,200 × 1.10 -
9
Wind against Wind1,581,228
5,749,920 × 0.25 × max(1 + 0.20 − 0.10, 0.15) -
10
After All Race Damage1,581,228
1,581,228 × 1.00 -
11
After All Size Damage1,739,350.8
1,581,228 × 1.10 -
12
After MVP Damage2,000,253.42
1,739,350.8 × 1.15 -
13
After Final Damage2,400,304.104
2,000,253.42 × 1.20 -
14
Conditional critical branch3,600,456.156
2,400,304.104 × 1.50 -
15
Bagg encounter reduction24,003.04104
3,600,456.156 ÷ 150 -
16
Final floor per event24,003 damage
floor(24,003.04104) -
17
Two-event cast total48,006 damage
24,003 × 2
Change the hero, skill level, player stats, or target above. When Ais Symphony is selected, use the linked Ais formula article for her exact hybrid stat rebuild and supported calculation scope.
Begin with the skill family rather than its color or description. A normal magic skill may use Magic ATK directly, while a verified hybrid family can rebuild Magic ATK from several player attributes before the coefficient is applied.
Record the skill level, coefficient, damage-event count, element, and required status conditions. Lower-level coefficients can be published even when only one exact level and actor scope has completed formula verification.
- Use Magic ATK only when the family declares that lane.
- Keep hybrid conversions as named inputs.
- Calculate separate damage events independently when the family requires it.
Magic DEF, Ignore Magic DEF, Magic Penetration, target Magic DEF changes, and damage reduction describe different operations. A family handler preserves their order and breakpoint behavior; the library keeps the terms separate so players can compare the correct stat.
Element, race, size, target class, skill damage, ranged damage, and Final Damage remain qualified modifier groups. A bonus that names an MVP or a specific element must not be treated as always active.
A Verified badge applies only to the actor, skill level, target, conditions, and client evidence stated in the article. Other magic skills stay useful as coefficient references but do not inherit the verified family formula.
RO Codex publishes Verified family articles only while the accepted handler and its required evidence remain current. Read the data quality standards for the site-wide accuracy contract.
- RO Codex formula trust contract
- Defines Verified, Estimated, and Unavailable behavior and requires family-specific fail-closed calculation.
- Player-facing calculation ledgers
- Ordered Battle Lab steps keep attack, defense, modifiers, encounters, and caps readable without exposing internal references.