Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp126.2 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (13500/30·(8−1.1)/1000 + 1.1)·30 = 126.2 m
Max Vert Disp75.7 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 126.2 × 0.6 = 75.7 m
Med Horiz Disp40.3 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 126.2 × 0.319 (σ=2) = 40.3 m
Med Vert Disp24.2 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 75.7 × 0.32 (σ=2) = 24.2 m
Dispersion familyCruiser Disp.
Standard cruiser dispersion baseline.
AP Pen Close355.3 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 × 2429 × 55.87^0.69 × 0.155^-1.07 × 925^1.38 = 355.3 mm. Matches the in-game spec card.
AP Pen Far83 mm
Same formula at the ship's max firing range (18.6 km), where the shell has slowed to 322.6 m/s: 1e-7 × 2429 × 55.87^0.69 × 0.155^-1.07 × 322.6^1.38 = 83 mm.
HE penetration26 mm
26 mm ≈ 155 mm caliber / 6 (standard HE penetration ratio).
AP overmatch10 mm
floor(155 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius16
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 alpha12
All 12 barrels bear on the broadside.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha31,800
2,650 HE damage x 12 broadside guns = 31,800.
AP full-salvo alpha39,600
3,300 AP damage x 12 broadside guns = 39,600.
Base HE DPM165,913
31,800 HE full-salvo alpha x 60 / 11.5 s base reload = 165,913.
Base AP DPM206,609
39,600 AP full-salvo alpha x 60 / 11.5 s base reload = 206,609.
Base shells/min62.6
12 broadside guns x 60 / 11.5 s base reload = 62.6.
Base fires/min6.26
12 HE shells x 60 / 11.5 s reload x 10% fire chance = 6.26.
Torpedoes
Torpedo detectability1.7 km
Estimated torpedo reaction time11.5 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed57 kt
Travel time to max range91.1 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 damage156,536
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage78,268
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS401
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (103×3.5×0.85) + (30×3.5×0.9) = 401. 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 index1422
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 range3.1 km
Secondary battery firepower
Secondary DPM (per side)142,657
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: 4×2 100 mm (4/side) × 60/2.86 × 1700 = 142,657. 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 100 mm family.
Max HE fire chance6%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 6% from the 100 mm family.
Max HE pen17 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: 17 mm from the 100 mm family.
Damage Control Party
Sonar
Catapult Fighter
Defensive AA Fire
