Wuwa EchoHow the Math Works

What are the odds of double crit plus ATK% on one echo?

3.50%, about 1 in 29 echoes (5★, +0 to +25).

Chance per echo, +0 to +25
3.50%
≈ 1 in 29 echoes

Chance per echo, +0 to +25

The math

Possible sets of 5 substat types: 1,287.

Sets with all three: C(10, 2) = 45.

45 / 1,287 = 3.50%.

Similar goals

The odds of double crit goals with a third and a fourth stat.
GoalChance per echoEchoes per hit
Crit. Rate and Crit. DMG12.82%1 in 7.80
Crit. Rate, Crit. DMG, and at least 1 of ATK% or Energy Regen6.29%1 in 16
Crit. Rate, Crit. DMG, and ATK%3.50%1 in 29
Crit. Rate, Crit. DMG, ATK%, and Energy Regen0.699%1 in 143

"Crit. Rate, Crit. DMG, and at least 1 of ATK% or Energy Regen" is 1.8× as likely as both crits and ATK%.

Echoes needed

How many echoes the goal takes.
Echoes
Average28.6
Half of players20 or fewer
9 in 10 players65 or fewer

Each echo is a new roll. Misses do not raise the odds of the next echo.

Cost

Averages for the whole goal, after discard refunds (75% of EXP, 30% of Tuners).

The expected cost of Crit. Rate, Crit. DMG, and ATK%, for each route.
RouteEchoesTunersPremium TubesTransducers
Max every echo28.61,016226—
Tune & scrap (strict)2862,570143—
One echo + Data Modify15028.65.5

Max every echo: tune every echo to +25, keep the first hit.

Tune & scrap (strict): scrap at the first tune that misses a goal stat.

Data Modify: reroll one +25 echo until it hits.

In Waveplates and money

The Tacet Field runs, days of Waveplates, and money value of Crit. Rate, Crit. DMG, and ATK%, for each route.
RouteTacet runsDaysMoney value
Max every echo50.812.7$38
Tune & scrap (strict)12832.1$95
One echo + Data Modify5.91.5$45–$85

1 Tacet Field run (60 Waveplates): about 24,155 Echo EXP (4.8 Premium Tubes) and 20 Premium Tuners. 240 Waveplates per day.

One run drops tubes and Tuners together, so the scarcer one sets the runs. Echo drops are not counted.

Money: a 60-Waveplate refill costs 60 Astrite (the first 2 each day). 1 pull = 160 Astrite. At the $99.99 Lunite pack, 1 Astrite ≈ $0.0124, 60 Waveplates ≈ $0.74, and 1 pull ≈ $1.98.

Other ways to buy Waveplates: Sage's Solvent Aid, $4.99 for 7 Crystal Solvent, is $0.71 per 60 when the shop offers it. The Lunite Subscription, $4.99 for 3,000 Astrite, is $0.10 per 60, for up to 3,000 Astrite a month.

Shops: a Premium Sealed Tube also sells for 250 Monnaie (Averardo Bank) or 50 Data Sets (Simulation Training Store, 25 max).

Drop data: community drop sheet, 1,697 Tacet Field runs at SOL3 Phase 8, versions 2.0–2.5.