Dr. Ratio's Combat Mechanics

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Ascensions and Stats

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Ascension Phase	Level	Base HP	Base ATK	Base DEF	Base SPD	Ascension Costs
0✦	1/20	142	105	62	103	(0 → 1) 4,000 5
	20/20	277	205	122	103
Ascension Cost (0 → 1) 4,000 5
1✦	20/30	335	248	147	103	(1 → 2) 8,000 10
	30/30	406	300	178	103
Ascension Cost (1 → 2) 8,000 10
2✦	30/40	463	343	203	103	(2 → 3) 16,000 3 6
	40/40	534	396	235	103
Ascension Cost (2 → 3) 16,000 3 6
3✦	40/50	591	438	260	103	(3 → 4) 40,000 7 9
	50/50	662	491	291	103
Ascension Cost (3 → 4) 40,000 7 9
4✦	50/60	719	533	316	103	(4 → 5) 80,000 20 6
	60/60	791	586	347	103
Ascension Cost (4 → 5) 80,000 20 6
5✦	60/70	848	628	373	103	(5 → 6) 160,000 35 9
	70/70	919	681	404	103
Ascension Cost (5 → 6) 160,000 35 9
6✦	70/80	976	723	429	103	—
	80/80	1,047	776	460	103

Total Ascension Cost (0✦ → 6✦)

308,000

65

15

15

15

Abilities

Icon	Type	Name	Tag	Energy	Toughness Reduction
	Basic ATK	Mind is Might	Single Target	Generation: 20	10
Deals Imaginary DMG equal to 50%–110% of Dr. Ratio's ATK to a single target enemy. Level 1 2 3 4 5 6 7 Attr. 1 50% 60% 70% 80% 90% 100% 110% Media:Mind is Might Preview.mp4
	Skill	Intellectual Midwifery	Single Target	Generation: 30	20
Deals Imaginary DMG equal to 75%–165% of Dr. Ratio's ATK to a single target enemy. Dr. Ratio's first Bonus Ability, Summation, increases this Skill's CRIT Rate by 2.5% and CRIT DMG by 5.0% for every debuff on the target, capping at six debuffs for a total bonus of 15.0% CRIT Rate and 25.0% CRIT DMG. Dr. Ratio's second Bonus Ability, Inference, causes this Skill to have a 100% base chance of lowering the target's Effect RES by 10.0% for two turns. Dr. Ratio's first Eidolon, Pride Comes Before a Fall, increases the cap of Summation by 4 and also grants him 4 stacks of Summation, assuming that the Bonus Ability is unlocked. This increases the cap to ten, for a total bonus of 25.0% CRIT Rate and 50.0% CRIT DMG. Level 1 2 3 4 5 6 7 8 9 10 11 12 Attr. 1 75% 82.5% 90% 97.5% 105% 112.5% 121.875% 131.25% 140.625% 150% 157.5% 165% Media:Intellectual Midwifery Preview.mp4
	Ultimate	Syllogistic Paradox	Single Target	Cost: 140 Generation: 5	30
Deals Imaginary DMG equal to 144%–259.2% of Dr. Ratio's ATK to a single target enemy and applies Wiseman's Folly. When Dr. Ratio's allies attack a target afflicted with Wiseman's Folly, Dr. Ratio launches his Talent's follow-up attack for 1 time against this target. Wiseman's Folly can be triggered for up to 2 times and only affects the most recent target of Dr. Ratio's Ultimate. This trigger count resets after Dr. Ratio's Ultimate is used. Dr. Ratio's sixth Eidolon, Vincit Omnia Veritas, grants an additional stack of Wiseman's Folly, allowing for 3 follow-up attacks. Others Icon Name Description Wiseman's Folly (Unremovable) After a target with Wiseman's Folly is attacked by Dr. Ratio's teammate(s), Dr. Ratio immediately launches a follow-up attack once against this target. This effect can be triggered for a maximum of 2–3 times. Level 1 2 3 4 5 6 7 8 9 10 11 12 Attr. 1 144% 153.6% 163.2% 172.8% 182.4% 192% 204% 216% 228% 240% 249.6% 259.2% Media:Syllogistic Paradox Preview.mp4
	Talent	Cogito, Ergo Sum	Single Target	Generation: 5	10
When using his Skill, Dr. Ratio has a 40% fixed chance of launching a follow-up attack against his target for 1 time, dealing Imaginary DMG equal to 135%–297% of Dr. Ratio's ATK. For each debuff the target enemy has, the fixed chance of launching follow-up attack increases by 20%. If the target enemy is defeated before the follow-up attack triggers, the follow-up attack will be directed at a single random enemy instead. Dr. Ratio's second Eidolon, The Divine Is in the Details, deals an additional 20.0% Imaginary DMG for every debuff on the target when the Talent is triggered, capping at four debuffs. Dr. Ratio's fourth Eidolon, Ignorance Is Blight, regenerates 15 Energy alongside the normal regeneration for a total of 20 when the Talent is triggered. Level 1 2 3 4 5 6 7 8 9 10 11 12 Attr. 1 135% 148.5% 162% 175.5% 189% 202.5% 219.375% 236.25% 253.125% 270% 283.5% 297% Media:Cogito, Ergo Sum Preview.mp4
	Technique	Mold of Idolatry	Impair
After using Technique, creates a special dimension that Taunts nearby enemies, lasting for 10 second(s). After entering battle with enemies in this special dimension, there is a 100% base chance to reduce each single enemy target's SPD by 15% for 2 turn(s). Only 1 dimension created by allies can exist at the same time. Upon use, a statue will spawn at the center of the dimension. Enemies within the dimension will direct their attacks at the statue. A taunted enemy can still hit the player if the player is standing within an attack's AoE. When a Trotter is taunted, it will stay in place and not attempt to flee. The statue has 5 possible poses. Debuffs Icon Name Description Mold of Idolatry Enemies within the dimension are inflicted with Taunt. After entering battle, there is a 100% base chance to reduce the SPD of every target by 15%. Media:Mold of Idolatry Preview.mp4 Statue Poses

Traces

Trace Level	Required Ascension	Credits [Subtotal]	Character Ascension Materials and Trace Materials [Subtotal]	Trace Materials [Subtotal]
1 → 2	2✦	5,000 [5,000]	6 [6]	3 [3]
2 → 3	3✦	10,000 [15,000]	3 [3]	3 [3]
3 → 4	4✦	20,000 [35,000]	4 [7]	5 [8]
4 → 5	5✦	45,000 [80,000]	3 [3]	3 [3]
5 → 6	6✦	160,000 [240,000]	4 [7]	8 [11]

Total Cost (1 → 6 for Basic ATK Trace)

240,000 Credit

6 Thief's Instinct

7 Usurper's Scheme

7 Conqueror's Will

3 Arrow of the Beast Hunter

8 Arrow of the Demon Slayer

11 Arrow of the Starchaser

Trace Level	Required Ascension	Credits [Subtotal]	Character Ascension Materials and Trace Materials [Subtotal]	Trace Materials [Subtotal]
1 → 2	1✦	2,500 [2,500]	3 [3]
2 → 3	2✦	5,000 [7,500]	6 [9]	3 [3]
3 → 4	3✦	10,000 [17,500]	3 [3]	3 [3]
4 → 5	4✦	20,000 [37,500]	4 [7]	5 [8]
5 → 6		30,000 [67,500]	6 [13]	7 [15]
6 → 7	5✦	45,000 [112,500]	3 [3]	3 [3]
7 → 8		80,000 [192,500]	4 [7]	5 [8]	1 [1]
8 → 9	6✦	160,000 [352,500]		8 [16]	1 [2]	1 [1]
9 → 10		300,000 [652,500]		14 [30]	1 [3]	1 [2]

Total Cost (1 → 10 for one Trace)

652,500 Credit

9 Thief's Instinct

13 Usurper's Scheme

7 Conqueror's Will

3 Arrow of the Beast Hunter

15 Arrow of the Demon Slayer

30 Arrow of the Starchaser

3 Past Evils of the Borehole Planet Disaster

2 Tracks of Destiny

ATK Boost ATK increases by 4.0%
Summation When Dr. Ratio uses his Skill, for every debuff on the target, his CRIT Rate increases by 2.5% and CRIT DMG by 5%. This effect can stack up to 6 time(s). Req. Character Ascension 2	CRIT Rate Boost CRIT Rate increases by 2.7% Req. Character Ascension 2	ATK Boost ATK increases by 4.0% Req. Character Ascension 3
DEF Boost DEF increases by 5.0% Req. Character Ascension 3
Inference When Skill is used to attack an enemy target, there is a 100% base chance to reduce the attacked target's Effect RES by 10% for 2 turn(s). Req. Character Ascension 4	ATK Boost ATK increases by 6.0% Req. Character Ascension 4	CRIT Rate Boost CRIT Rate increases by 4.0% Req. Character Ascension 5
ATK Boost ATK increases by 6.0% Req. Character Ascension 5
Deduction When dealing DMG to a target that has 3 or more debuff(s), for each debuff the target has, the DMG dealt by Dr. Ratio to this target increases by 10%, up to a maximum increase of 50%. Req. Character Ascension 6	DEF Boost DEF increases by 7.5% Req. Character Ascension 6	CRIT Rate Boost CRIT Rate increases by 5.3% Req. Character Lv. 75
		ATK Boost ATK increases by 8.0% Req. Character Lv. 80

Eidolons

Icon	Name	Level
	Pride Comes Before a Fall	1
The maximum stackable count for the Trace "Summation" increases by 4. When a battle begins, immediately obtains 4 stacks of Summation. Needs to unlock Summation first.
	The Divine Is in the Details	2
When his Talent's follow-up attack hits a target, for every debuff the target has, additionally deals Imaginary Additional DMG equal to 20% of Dr. Ratio's ATK. This effect can be triggered for a maximum of 4 time(s) during each follow-up attack.
	Know Thyself	3
Ultimate Lv. +2, up to a maximum of Lv. 15. Basic ATK Lv. +1, up to a maximum of Lv. 10.
	Ignorance Is Blight	4
When triggering the Talent, additionally regenerates 15 Energy for Dr. Ratio.
	Sic Itur Ad Astra	5
Skill Lv. +2, up to a maximum of Lv. 15. Talent Lv. +2, up to a maximum of Lv. 15.
	Vincit Omnia Veritas	6
Increases the trigger count for Wiseman's Folly by 1. The DMG dealt by the Talent's follow-up attack increases by 50%.

Achievements

There are 4 Achievements related to Dr. Ratio:

Name	Category	Description	Hidden	Version
Chain Peoplebreaker	Eager for Battle	In a single battle, trigger the follow-up attack effect from Dr. Ratio's Talent, Cogito Ergo Sum, for 4 consecutive turns	No	1.6	5
Planet of Festivities Special Team	Eager for Battle	Win 1 battle(s) with a team comprising Topaz & Numby, Dr. Ratio, Aventurine, and Jade	Yes	2.3	5
Trigger Warning	Eager for Battle	Use Dr. Ratio's Technique, Mold of Idolatry, to Taunt 6 or more enemies at once	Yes	1.6	5
Truth Must Circulate Like Currency	Moment of Joy	Take part in 1 match(es) in Support Assist using Dr. Ratio	Yes	2.0	5