Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp128.4 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (13830/30·(8−1.1)/1000 + 1.1)·30 = 128.4 m
Max Vert Disp77.1 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 128.4 × 0.6 = 77.1 m
Med Horiz Disp41 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 128.4 × 0.319 (σ=2) = 41 m
Med Vert Disp24.6 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 77.1 × 0.319 (σ=2) = 24.6 m
Dispersion familyCruiser Disp.
Standard cruiser dispersion baseline.
AP Pen Close400.1 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 × 2495 × 108^0.69 × 0.21^-1.07 × 900^1.38 = 400.1 mm. Matches the in-game spec card.
AP Pen Far99.6 mm
Same formula at the ship's max firing range (19 km), where the shell has slowed to 328.6 m/s: 1e-7 × 2495 × 108^0.69 × 0.21^-1.07 × 328.6^1.38 = 99.6 mm.
HE penetration53 mm
53 mm ≈ 210 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) - 0.252 in this case. Lets HE pen ~52mm armor instead of ~35mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch14 mm
floor(210 mm caliber / 14.3) = 14 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius25
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 time34.6 s
180 degrees / 5.2 deg/s traverse speed = 34.6 s.
HE full-salvo alpha23,200
2,900 HE damage x 8 broadside guns = 23,200.
AP full-salvo alpha48,000
6,000 AP damage x 8 broadside guns = 48,000.
Base HE DPM139,200
23,200 HE full-salvo alpha x 60 / 10 s base reload = 139,200.
Base AP DPM288,000
48,000 AP full-salvo alpha x 60 / 10 s base reload = 288,000.
Base shells/min48
8 broadside guns x 60 / 10 s base reload = 48.
Base fires/min5.76
8 HE shells x 60 / 10 s reload x 12% fire chance = 5.76.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time7.8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed64 kt
Travel time to max range36.1 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 damage152,400
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage76,200
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS266
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (26×3.5×0.9) + (47×3.5×0.85) + (14×3.5×0.9) = 266. 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 index743
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)60,000
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: 4×2 88 mm (4/side) × 60/4 × 1000 = 60,000. 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
Sonar
Defensive AA Fire
Catapult Fighter