Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp112.2 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (11479/30·(8−1.1)/1000 + 1.1)·30 = 112.2 m
Max Vert Disp67.3 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 112.2 × 0.6 = 67.3 m
Med Horiz Disp35.9 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 112.2 × 0.32 (σ=2) = 35.9 m
Med Vert Disp21.5 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 67.3 × 0.319 (σ=2) = 21.5 m
Dispersion familyCruiser Disp.
Standard cruiser dispersion baseline.
AP Pen Close219.1 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 × 1925 × 45.3^0.69 × 0.15^-1.07 × 835^1.38 = 219.1 mm. Matches the in-game spec card.
AP Pen Far44.1 mm
Same formula at the ship's max firing range (15.8 km), where the shell has slowed to 261.4 m/s: 1e-7 × 1925 × 45.3^0.69 × 0.15^-1.07 × 261.4^1.38 = 44.1 mm.
HE penetration38 mm
38 mm ≈ 150 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) - 0.253 in this case. Lets HE pen ~37mm armor instead of ~25mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch10 mm
floor(150 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 alpha5
Barrels that can bear on one beam (5 of 8); casemate/wing mounts only fire one side.
Turret turn time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha9,000
1,800 HE damage x 5 broadside guns = 9,000.
AP full-salvo alpha18,500
3,700 AP damage x 5 broadside guns = 18,500.
Base HE DPM83,077
9,000 HE full-salvo alpha x 60 / 6.5 s base reload = 83,077.
Base AP DPM170,769
18,500 AP full-salvo alpha x 60 / 6.5 s base reload = 170,769.
Base shells/min46.2
5 broadside guns x 60 / 6.5 s base reload = 46.2.
Base fires/min4.62
5 HE shells x 60 / 6.5 s reload x 10% fire chance = 4.62.
Torpedoes
Torpedo detectability1.4 km
Estimated torpedo reaction time9.4 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 count8
4 launchers x 2 tubes.
Per-side salvo4 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage81,600
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage40,800
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS6
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (2×3.5×0.9) = 6. 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 range3 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index19
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.
Secondary battery firepower
Secondary DPM (per side)15,000
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: 2×1 88 mm (1/side) × 60/4 × 1000 = 15,000. 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