Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp159.7 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{14241}{30}\cdot\dfrac{10-1.1}{1000} + 1.1\right)\cdot 30 = 159.7\,\text{m}$
Max Vert Disp151.8 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 159.7 \cdot 0.95 = 151.8\,\text{m}$
Med Horiz Disp51 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 159.7 \cdot 0.319\;(\sigma = 2) = 51\,\text{m}$
Med Vert Disp48.5 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 151.8 \cdot 0.319\;(\sigma = 2) = 48.5\,\text{m}$
AP Pen Close465.6 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2370 \cdot 109.2^{0.69} \cdot 0.18^{-1.07} \cdot 920^{1.38} = 465.6\,\text{mm}$. Matches the in-game spec card.
AP Pen Far190 mm
Same formula at the ship's max firing range (17.8 km), where the shell has slowed to 480.6 m/s: $P = 10^{-7}\cdot 2370 \cdot 109.2^{0.69} \cdot 0.18^{-1.07} \cdot 480.6^{1.38} = 190\,\text{mm}$.
HE penetration30 mm
30 mm ≈ 180 mm caliber / 6 (standard HE penetration ratio).
AP overmatch12 mm
floor(180 mm caliber / 14.3) = 12 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius20
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 alpha6
All 6 barrels bear on the broadside.
Turret turn time22.5 s
180 degrees / 8 deg/s traverse speed = 22.5 s.
HE full-salvo alpha15,000
2,500 HE damage x 6 broadside guns = 15,000.
AP full-salvo alpha27,300
4,550 AP damage x 6 broadside guns = 27,300.
Base HE DPM138,462
15,000 HE full-salvo alpha x 60 / 6.5 s base reload = 138,462.
Base AP DPM252,000
27,300 AP full-salvo alpha x 60 / 6.5 s base reload = 252,000.
Base shells/min55.4
6 broadside guns x 60 / 6.5 s base reload = 55.4.
Base fires/min6.09
6 HE shells x 60 / 6.5 s reload x 11% fire chance = 6.09.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time7.8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed64 kt
Travel time to max range24.2 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 damage80,400
All tubes hitting one target: tubes x per-torpedo simulated damage = 6 x 13,400 = 80,400.
Per-side salvo damage40,200
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 3 x 13,400 = 40,200.
AA defense
Close-range AA DPS139
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (26×3.5×0.9) + (13×3.5×0.85) + (6×3.5×0.9) = 139. 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 range3.5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index375
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)42,000
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: 4×1 100 mm (2/side) × 60/4 × 1400 = 42,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1400
Maximum HE damage per shell across secondary HE families. Best on this ship: 1400 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
Catapult Fighter