Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp140.7 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{15610}{30}\cdot\dfrac{8-1.1}{1000} + 1.1\right)\cdot 30 = 140.7\,\text{m}$
Max Vert Disp84.4 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 140.7 \cdot 0.6 = 84.4\,\text{m}$
Med Horiz Disp45 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 140.7 \cdot 0.32\;(\sigma = 2) = 45\,\text{m}$
Med Vert Disp27 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 84.4 \cdot 0.32\;(\sigma = 2) = 27\,\text{m}$
AP Pen Close403.3 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2650 \cdot 116.1^{0.69} \cdot 0.203^{-1.07} \cdot 814^{1.38} = 403.3\,\text{mm}$. Matches the in-game spec card.
AP Pen Far138.8 mm
Same formula at the ship's max firing range (19.5 km), where the shell has slowed to 375.7 m/s: $P = 10^{-7}\cdot 2650 \cdot 116.1^{0.69} \cdot 0.203^{-1.07} \cdot 375.7^{1.38} = 138.8\,\text{mm}$.
HE penetration34 mm
34 mm ≈ 203 mm caliber / 6 (standard HE penetration ratio).
AP overmatch14 mm
floor(203 mm caliber / 14.3) = 14 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius30
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 alpha7
All 7 barrels bear on the broadside.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha19,950
2,850 HE damage x 7 broadside guns = 19,950.
AP full-salvo alpha31,500
4,500 AP damage x 7 broadside guns = 31,500.
Base HE DPM59,850
19,950 HE full-salvo alpha x 60 / 20 s base reload = 59,850.
Base AP DPM94,500
31,500 AP full-salvo alpha x 60 / 20 s base reload = 94,500.
Installed HE DPM66,500
19,950 HE full-salvo alpha x 60 / 18 s installed reload (Main Battery Mod. 3 = -10%) = 66,500.
Installed AP DPM105,000
31,500 AP full-salvo alpha x 60 / 18 s installed reload (Main Battery Mod. 3 = -10%) = 105,000.
Base shells/min21
7 broadside guns x 60 / 20 s base reload = 21.
Installed shells/min23.3
7 broadside guns x 60 / 18 s installed Artillery reload = 23.3.
Base fires/min3.57
7 HE shells x 60 / 20 s reload x 17% fire chance = 3.57.
Installed fires/min3.97
7 HE shells x 60 / 18 s installed reload x 17% fire chance = 3.97.
Ready-rack burst alpha94,500
3 shells in rack x 7 broadside guns x 4,500 AP damage. Total damage the ship can deliver off the rack before reverting to base reload.
Burst window8 s
(3 shells - 1) x 4 s rack reload. Wall-clock duration from the first rack salvo to the last; the next salvo after that uses the base reload.
Torpedoes
Torpedo detectability1.8 km
Estimated torpedo reaction time8.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed86 kt
Travel time to max range33.5 s
range / (speed kt x 2.6 community game-speed factor).
Tube count12
4 launchers x 3 tubes.
Per-side salvo6 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage117,600
All tubes hitting one target: tubes x per-torpedo simulated damage = 12 x 9,800 = 117,600.
Per-side salvo damage58,800
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 6 x 9,800 = 58,800.
AA defense
Close-range AA DPS168
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (10×3.5×0.9) + (14×3.5×0.85) + (30×3.5×0.9) = 168. 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 index619
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)85,970
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: 4×2 105 mm (4/side) × 60/3.35 × 1200 = 85,970. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1200
Maximum HE damage per shell across secondary HE families. Best on this ship: 1200 from the 105 mm family.
Max HE fire chance5%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 5% from the 105 mm family.
Max HE pen26 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: 26 mm from the 105 mm family.
Damage Control Party
Repair Party
Sonar
Defensive AA Fire
Smoke Generator
Catapult Fighter