Main battery formulas
Shell Grouping (σ)1.9
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp174.3 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{15030}{30}\cdot\dfrac{10-1.6}{1000} + 1.6\right)\cdot 30 = 174.3\,\text{m}$
Max Vert Disp104.6 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 174.3 \cdot 0.6 = 104.6\,\text{m}$
Med Horiz Disp57.8 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 174.3 \cdot 0.332\;(\sigma = 1.9) = 57.8\,\text{m}$
Med Vert Disp34.7 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 104.6 \cdot 0.332\;(\sigma = 1.9) = 34.7\,\text{m}$
AP Pen Close546.5 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2282 \cdot 300^{0.69} \cdot 0.283^{-1.07} \cdot 910^{1.38} = 546.5\,\text{mm}$. Matches the in-game spec card.
AP Pen Far202.1 mm
Same formula at the ship's max firing range (18.8 km), where the shell has slowed to 442.5 m/s: $P = 10^{-7}\cdot 2282 \cdot 300^{0.69} \cdot 0.283^{-1.07} \cdot 442.5^{1.38} = 202.1\,\text{mm}$.
HE penetration71 mm
71 mm ≈ 283 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) - 0.251 in this case. Lets HE pen ~70mm armor instead of ~47mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch19 mm
floor(283 mm caliber / 14.3) = 19 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius60
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 time25 s
180 degrees / 7.2 deg/s traverse speed = 25 s.
HE full-salvo alpha19,200
3,200 HE damage x 6 broadside guns = 19,200.
AP full-salvo alpha50,400
8,400 AP damage x 6 broadside guns = 50,400.
Base HE DPM57,600
19,200 HE full-salvo alpha x 60 / 20 s base reload = 57,600.
Base AP DPM151,200
50,400 AP full-salvo alpha x 60 / 20 s base reload = 151,200.
Base shells/min18
6 broadside guns x 60 / 20 s base reload = 18.
Base fires/min3.6
6 HE shells x 60 / 20 s reload x 20% fire chance = 3.6.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time7.7 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed65 kt
Travel time to max range47.4 s
range / (speed kt x 2.6 community game-speed factor).
Tube count8
2 launchers x 4 tubes.
Per-side salvo4 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage101,600
All tubes hitting one target: tubes x per-torpedo simulated damage = 8 x 12,700 = 101,600.
Per-side salvo damage50,800
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 4 x 12,700 = 50,800.
AA defense
Close-range AA DPS166
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (7×3.5×0.9) + (24×3.5×0.85) + (23×3.5×0.9) = 166. 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 range4.5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index546
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)118,878
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: 3×2 105 mm (3/side) × 60/3.35 × 1200 = 64,478 + 8×1 150 mm (4/side) × 60/7.5 × 1700 = 54,400. 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 150 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 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
Sonar
Defensive AA Fire
Catapult Fighter
Repair Party