Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp106.3 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10629/30·(8−1.1)/1000 + 1.1)·30 = 106.3 m
Max Vert Disp63.8 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 106.3 × 0.6 = 63.8 m
Med Horiz Disp34 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 106.3 × 0.32 (σ=2) = 34 m
Med Vert Disp20.4 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 63.8 × 0.32 (σ=2) = 20.4 m
Dispersion familyCruiser Disp.
Standard cruiser dispersion baseline.
AP Pen Close212.4 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: 1e-7 × Krupp × mass^0.69 × caliber_m^-1.07 × v0^1.38 = 1e-7 × 2041 × 39.5^0.69 × 0.139^-1.07 × 790^1.38 = 212.4 mm. Matches the in-game spec card.
AP Pen Far48 mm
Same formula at the ship's max firing range (14.6 km), where the shell has slowed to 269 m/s: 1e-7 × 2041 × 39.5^0.69 × 0.139^-1.07 × 269^1.38 = 48 mm.
HE penetration23 mm
23 mm ≈ 139 mm caliber / 6 (standard HE penetration ratio).
AP overmatch9 mm
floor(139 mm caliber / 14.3) = 9 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius8
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 time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha16,000
2,000 HE damage x 8 broadside guns = 16,000.
AP full-salvo alpha21,600
2,700 AP damage x 8 broadside guns = 21,600.
Base HE DPM80,000
16,000 HE full-salvo alpha x 60 / 12 s base reload = 80,000.
Base AP DPM108,000
21,600 AP full-salvo alpha x 60 / 12 s base reload = 108,000.
Base shells/min40
8 broadside guns x 60 / 12 s base reload = 40.
Base fires/min3.2
8 HE shells x 60 / 12 s reload x 8% fire chance = 3.2.
Torpedoes
Torpedo detectability1.2 km
Estimated torpedo reaction time8.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed57 kt
Travel time to max range40.5 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 damage134,796
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage67,398
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS40
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (6×3.5×0.85) + (7×3.5×0.9) = 40. 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 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index110
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 range1.2 km
Secondary battery firepower
Secondary DPM (per side)39,000
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: 4×1 90 mm (2/side) × 60/4 × 1300 = 39,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1300
Maximum HE damage per shell across secondary HE families. Best on this ship: 1300 from the 90 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 90 mm family.
Max HE pen15 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: 15 mm from the 90 mm family.
Damage Control Party