Main battery formulas
Shell Grouping (σ)2.15
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp104 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10295/30·(8−1.1)/1000 + 1.1)·30 = 104 m
Max Vert Disp62.4 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 104 × 0.6 = 62.4 m
Med Horiz Disp31.4 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 104 × 0.302 (σ=2.15) = 31.4 m
Med Vert Disp18.9 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 62.4 × 0.303 (σ=2.15) = 18.9 m
Dispersion familyCruiser Disp.
Standard cruiser dispersion baseline.
AP Pen Close261.7 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 × 2100 × 45.4^0.69 × 0.152^-1.07 × 900^1.38 = 261.7 mm. Matches the in-game spec card.
AP Pen Far72.1 mm
Same formula at the ship's max firing range (14.2 km), where the shell has slowed to 353.5 m/s: 1e-7 × 2100 × 45.4^0.69 × 0.152^-1.07 × 353.5^1.38 = 72.1 mm.
HE penetration25 mm
25 mm ≈ 152 mm caliber / 6 (standard HE penetration ratio).
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius10
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 time15 s
180 degrees / 12 deg/s traverse speed = 15 s.
HE full-salvo alpha10,500
1,750 HE damage x 6 broadside guns = 10,500.
AP full-salvo alpha15,000
2,500 AP damage x 6 broadside guns = 15,000.
Base HE DPM70,000
10,500 HE full-salvo alpha x 60 / 9 s base reload = 70,000.
Base AP DPM100,000
15,000 AP full-salvo alpha x 60 / 9 s base reload = 100,000.
Base shells/min40
6 broadside guns x 60 / 9 s base reload = 40.
Base fires/min3.2
6 HE shells x 60 / 9 s reload x 8% fire chance = 3.2.
AA defense
Close-range AA DPS105
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (30×3.5×0.85) + (5×3.5×0.9) = 105. 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 index242
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)30,000
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 88 mm (2/side) × 60/4 × 1000 = 30,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1000
Maximum HE damage per shell across secondary HE families. Best on this ship: 1000 from the 88 mm family.
Max HE fire chance4%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 4% from the 88 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 88 mm family.
Damage Control Party