Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp213.3 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{15755}{30}\cdot\dfrac{12-1.7}{1000} + 1.7\right)\cdot 30 = 213.3\,\text{m}$
Max Vert Disp128 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 213.3 \cdot 0.6 = 128\,\text{m}$
Med Horiz Disp68.2 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 213.3 \cdot 0.32\;(\sigma = 2) = 68.2\,\text{m}$
Med Vert Disp40.9 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 128 \cdot 0.32\;(\sigma = 2) = 40.9\,\text{m}$
AP Pen Close592.7 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2190 \cdot 879^{0.69} \cdot 0.381^{-1.07} \cdot 731.5^{1.38} = 592.7\,\text{mm}$. Matches the in-game spec card.
AP Pen Far315.9 mm
Same formula at the ship's max firing range (19.7 km), where the shell has slowed to 463.6 m/s: $P = 10^{-7}\cdot 2190 \cdot 879^{0.69} \cdot 0.381^{-1.07} \cdot 463.6^{1.38} = 315.9\,\text{mm}$.
HE penetration95 mm
95 mm ≈ 381 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 ~95mm armor instead of ~63mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch26 mm
floor(381 mm caliber / 14.3) = 26 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius90
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 time60 s
180 degrees / 3 deg/s traverse speed = 60 s.
HE full-salvo alpha50,400
6,300 HE damage x 8 broadside guns = 50,400.
AP full-salvo alpha91,200
11,400 AP damage x 8 broadside guns = 91,200.
Base HE DPM100,800
50,400 HE full-salvo alpha x 60 / 30 s base reload = 100,800.
Base AP DPM182,400
91,200 AP full-salvo alpha x 60 / 30 s base reload = 182,400.
Base shells/min16
8 broadside guns x 60 / 30 s base reload = 16.
Base fires/min5.6
8 HE shells x 60 / 30 s reload x 35% fire chance = 5.6.
AA defense
Close-range AA DPS322
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (43×3.5×0.75) + (49×3.5×0.7) + (34×3.5×0.75) = 322. 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 index969
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 range2 km
Secondary battery firepower
Secondary DPM (per side)204,000
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: 10×2 114 mm (10/side) × 60/5 × 1700 = 204,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1700
Maximum HE damage per shell across secondary HE families. Best on this ship: 1700 from the 114 mm family.
Max HE fire chance8%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 8% from the 114 mm family.
Max HE pen19 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: 19 mm from the 114 mm family.
Damage Control Party
Repair Party
Catapult Fighter
Observation Seaplane
Secondary Battery Booster