Main battery formulas
Shell Grouping (σ)1.8
Max Horiz Disp199.7 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{13642}{30}\cdot\dfrac{12-2.2}{1000} + 2.2\right)\cdot 30 = 199.7\,\text{m}$
Shell scatter width @ 10 km164 m
How wide your shells scatter at 10 km, from the same dispersion model as the max-range figure above. Picking a fixed range makes this number directly comparable from ship to ship: max-range dispersion makes a longer-range gun look worse even when it's tighter at any common range. The interactive Dispersion tab on the Charts card plots the full curve from 0 to max range.
Max Vert Disp119.8 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 199.7 \cdot 0.6 = 119.8\,\text{m}$
Shell scatter height @ 10 km89.6 m
How tall the same scatter ellipse is at 10 km. Comparable from ship to ship for the same reason as the width value above.
Med Horiz Disp68.7 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 199.7 \cdot 0.344\;(\sigma = 1.8) = 68.7\,\text{m}$
Med Vert Disp41.2 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 119.8 \cdot 0.344\;(\sigma = 1.8) = 41.2\,\text{m}$
AP Pen Close576.6 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2311 \cdot 405^{0.69} \cdot 0.305^{-1.07} \cdot 855^{1.38} = 576.6\,\text{mm}$. Matches the in-game spec card.
AP Pen Far215.9 mm
Same formula at the ship's max firing range (17.1 km), where the shell has slowed to 419.6 m/s: $P = 10^{-7}\cdot 2311 \cdot 405^{0.69} \cdot 0.305^{-1.07} \cdot 419.6^{1.38} = 215.9\,\text{mm}$.
HE penetration76 mm
76 mm ≈ 305 mm caliber / 4 (improved HE penetration: German BBs, Yamato-class, and a handful of others).
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) - 0.249 in this case. Lets HE pen ~76mm armor instead of ~50mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch21 mm
floor(305 mm caliber / 14.3) = 21 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius40
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 time60 s
180 degrees / 3 deg/s traverse speed = 60 s.
HE full-salvo alpha34,000
3,400 HE damage x 10 broadside guns = 34,000.
AP full-salvo alpha83,000
8,300 AP damage x 10 broadside guns = 83,000.
Base HE DPM72,857
34,000 HE full-salvo alpha x 60 / 28 s base reload = 72,857.
Base AP DPM177,857
83,000 AP full-salvo alpha x 60 / 28 s base reload = 177,857.
Base shells/min21.4
10 broadside guns x 60 / 28 s base reload = 21.4.
Base fires/min4.71
21.4 shells/min x 22% fire chance = 4.71.
AA defense
Close-range AA DPS8
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (3×3.5×0.75) = 8. 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 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index24
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.
Secondary battery firepower
Secondary DPM (per side)178,215
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: 14×1 150 mm (7/side) × 60/8.57 × 1800 = 88,215 + 4×1 88 mm (2/side) × 60/4 × 1000 = 30,000 + 2×1 88 mm (1/side) × 60/4 × 1000 = 15,000 + 6×1 88 mm (3/side) × 60/4 × 1000 = 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 alpha1800
Maximum HE damage per shell across secondary HE families. Best on this ship: 1800 from the 150 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 150 mm family.
Max HE pen38 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: 38 mm from the 150 mm family.
Damage Control Party
Repair Party
Secondary Battery Booster
