Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp130.4 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{14122}{30}\cdot\dfrac{8-1.1}{1000} + 1.1\right)\cdot 30 = 130.4\,\text{m}$
Max Vert Disp78.3 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 130.4 \cdot 0.6 = 78.3\,\text{m}$
Med Horiz Disp41.7 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 130.4 \cdot 0.32\;(\sigma = 2) = 41.7\,\text{m}$
Med Vert Disp25 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 78.3 \cdot 0.319\;(\sigma = 2) = 25\,\text{m}$
AP Pen Close330 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2142 \cdot 50^{0.69} \cdot 0.152^{-1.07} \cdot 1000^{1.38} = 330\,\text{mm}$. Matches the in-game spec card.
AP Pen Far72.2 mm
Same formula at the ship's max firing range (17.7 km), where the shell has slowed to 332.4 m/s: $P = 10^{-7}\cdot 2142 \cdot 50^{0.69} \cdot 0.152^{-1.07} \cdot 332.4^{1.38} = 72.2\,\text{mm}$.
HE penetration25 mm
25 mm ≈ 152 mm caliber / 6 (standard HE penetration ratio).
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius15
AP shell over-penetration splash radius; scales with shell mass. Wickes 102mm = 3, standard 152mm CL ~ 20, Iowa 406mm ~ 270, Yamato 460mm = 400, Incomparable 650mm = 550 (max). Larger value = bigger splash damage area when AP over-pens.
Broadside guns used for alpha8
All 8 barrels bear on the broadside.
Turret turn time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha16,800
2,100 HE damage x 8 broadside guns = 16,800.
AP full-salvo alpha25,600
3,200 AP damage x 8 broadside guns = 25,600.
Base HE DPM134,400
16,800 HE full-salvo alpha x 60 / 7.5 s base reload = 134,400.
Base AP DPM204,800
25,600 AP full-salvo alpha x 60 / 7.5 s base reload = 204,800.
Base shells/min64
8 broadside guns x 60 / 7.5 s base reload = 64.
Base fires/min4.48
8 HE shells x 60 / 7.5 s reload x 7% fire chance = 4.48.
Torpedoes
Torpedo detectability1 km
Estimated torpedo reaction time7.5 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed51 kt
Travel time to max range90.5 s
range / (speed kt x 2.6 community game-speed factor).
Tube count6
2 launchers x 3 tubes.
Per-side salvo3 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage74,202
All tubes hitting one target: tubes x per-torpedo simulated damage = 6 x 12,367 = 74,202.
Per-side salvo damage37,101
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 3 x 12,367 = 37,101.
AA defense
Close-range AA DPS168
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (32×3.5×0.9) + (13×3.5×0.85) + (9×3.5×0.9) = 168. Covers AA-only mounts plus dual-purpose secondaries (Bismarck 105mm, USN 5"/38 cruiser secondaries) and dual-purpose main batteries (Sumner-class 5"/38, Akizuki-line 100mm). Formula validated against in-game captures on California, Sumner, Manfred von Richthofen, Dante Alighieri (exact) and within +/-17% on the remaining verified ships.
Maximum AA range4 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index513
SUM over AA auras of (aura DPS x aura range km). A plane crossing the AA bubble is exposed to each aura for a time proportional to that aura's range, so long-reach DPS is worth more than the same DPS in a short bubble. Units: DPS*km; used to rank overall AA threat across the cohort.
Near aura range1.2 km
Secondary battery firepower
Secondary DPM (per side)45,000
Sum across all secondary families of (per-side barrels × 60 / reload_s × alpha), where per-side barrels = mounts × barrels-per-mount / 2 (the guns that bear on one broadside target). Per-family: 3×2 100 mm (3/side) × 60/6 × 1500 = 45,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1500
Maximum HE damage per shell across secondary HE families. Best on this ship: 1500 from the 100 mm family.
Max HE fire chance6%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 6% from the 100 mm family.
Max HE pen17 mm
Maximum HE armor penetration across secondary HE families (caliber × 1/6 for most nations; 1/4 for German/UK BBs). Shells whose pen falls under a plate's armor thickness shatter for 0 hull damage though fire chance still applies. Best on this ship: 17 mm from the 100 mm family.
Damage Control Party
Sonar
Defensive AA Fire
Catapult Fighter