Main battery formulas
Shell Grouping (σ)2.2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp207 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{17090}{30}\cdot\dfrac{10-2.8}{1000} + 2.8\right)\cdot 30 = 207\,\text{m}$
Max Vert Disp165.6 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 207 \cdot 0.8 = 165.6\,\text{m}$
Med Horiz Disp61.4 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 207 \cdot 0.297\;(\sigma = 2.2) = 61.4\,\text{m}$
Med Vert Disp49.1 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 165.6 \cdot 0.296\;(\sigma = 2.2) = 49.1\,\text{m}$
AP Pen Close884.5 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2600 \cdot 970^{0.69} \cdot 0.41^{-1.07} \cdot 870^{1.38} = 884.5\,\text{mm}$. Matches the in-game spec card.
AP Pen Far391.8 mm
Same formula at the ship's max firing range (21.4 km), where the shell has slowed to 482.2 m/s: $P = 10^{-7}\cdot 2600 \cdot 970^{0.69} \cdot 0.41^{-1.07} \cdot 482.2^{1.38} = 391.8\,\text{mm}$.
HE penetration82 mm
In-game data: 82 mm = 410 mm caliber / 5 (non-standard HE penetration ratio).
Improved HE PenYes
This ship's HE shells use a 1/4 (~0.25) caliber-to-pen ratio instead of the standard 1/6 (~0.167) - 0.2 in this case. Lets HE pen ~102mm armor instead of ~68mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch28 mm
floor(410 mm caliber / 14.3) = 28 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius250
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 alpha10
All 10 barrels bear on the broadside.
Turret turn time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha70,000
7,000 HE damage x 10 broadside guns = 70,000.
AP full-salvo alpha126,000
12,600 AP damage x 10 broadside guns = 126,000.
Base HE DPM150,000
70,000 HE full-salvo alpha x 60 / 28 s base reload = 150,000.
Base AP DPM270,000
126,000 AP full-salvo alpha x 60 / 28 s base reload = 270,000.
Installed HE DPM166,667
70,000 HE full-salvo alpha x 60 / 25.2 s installed reload (Main Battery Mod. 3 = -10%) = 166,667.
Installed AP DPM300,000
126,000 AP full-salvo alpha x 60 / 25.2 s installed reload (Main Battery Mod. 3 = -10%) = 300,000.
Base shells/min21.4
10 broadside guns x 60 / 28 s base reload = 21.4.
Installed shells/min23.8
10 broadside guns x 60 / 25.2 s installed Artillery reload = 23.8.
Base fires/min7.71
10 HE shells x 60 / 28 s reload x 36% fire chance = 7.71.
Installed fires/min8.57
10 HE shells x 60 / 25.2 s installed reload x 36% fire chance = 8.57.
AA defense
Close-range AA DPS518
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (19×3.5×0.85) + (125×3.5×0.85) + (34×3.5×0.75) = 518. 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 range5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index1740
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 range3.1 km
Secondary battery firepower
Secondary DPM (per side)318,000
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: 10×2 127 mm (10/side) × 60/6 × 2100 = 210,000 + 12×1 140 mm (6/side) × 60/8 × 2400 = 108,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2400
Maximum HE damage per shell across secondary HE families. Best on this ship: 2400 from the 140 mm family.
Max HE fire chance10%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 10% from the 140 mm family.
Max HE pen23 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: 23 mm from the 140 mm family.
Damage Control Party
Repair Party
Engine Boost
Secondary Battery Booster
Defensive AA Fire