Wuwa EchoHow the Math Works

What are the odds of a perfect echo in Wuthering Waves?

5 chosen substats: 1 in 1,287. All 5 at top roll: about 1 in 57.9B (0.0000000017%).

Chance per echo, +0 to +25
0.0000000017%
≈ 1 in 57.9B echoes

If you could roll one every single second without stopping, you'd expect a hit after about 1,800 years.

Chance per echo, +0 to +25

Any rolls

Only 1 of the 1,287 possible sets of 5 substat types matches.

The odds are the same for any 5 stats.

Top rolls

Example: Crit. Rate, Crit. DMG, ATK%, Energy Regen, and Resonance Liberation DMG Bonus.

The top roll of each stat in the example, and its chance.
SubstatTop rollChance
Crit. Rate10.5%3.00%
Crit. DMG21.0%3.00%
ATK%11.6%2.91%
Energy Regen12.4%2.91%
Resonance Liberation DMG Bonus11.6%2.91%

1 in 1,287 × the 5 top-roll chances = 0.0000000017%.

With Data Modify

Same 5 stats, any rolls, from one +25 echo: about 32.1 Transducers on average.

Lock each goal stat when it lands.

Cost

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

The expected cost of Crit. Rate ≥ 10.5%, Crit. DMG ≥ 21.0%, ATK% ≥ 11.6%, Energy Regen ≥ 12.4%, and Resonance Liberation DMG Bonus ≥ 11.6%, for each route.
RouteEchoesTunersPremium TubesTransducers
Max every echo57.9B2.03T414B—
Tune & scrap (strict)57.9B630B40.4B—
One echo + Data Modify15028.61,168

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 ≥ 10.5%, Crit. DMG ≥ 21.0%, ATK% ≥ 11.6%, Energy Regen ≥ 12.4%, and Resonance Liberation DMG Bonus ≥ 11.6%, for each route.
RouteTacet runsDaysMoney value
Max every echo101B25.3B$75.2B
Tune & scrap (strict)31.5B7.87B$23.4B
One echo + Data Modify5.91.5$8,680–$17,355

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.