Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp135.7 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (14889/30·(8−1.1)/1000 + 1.1)·30 = 135.7 m
Max Vert Disp81.4 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 135.7 × 0.6 = 81.4 m
Med Horiz Disp43.4 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 135.7 × 0.32 (σ=2) = 43.4 m
Med Vert Disp26 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 81.4 × 0.319 (σ=2) = 26 m
AP Pen Close473.5 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 × 2508 × 185.3^0.69 × 0.234^-1.07 × 841^1.38 = 473.5 mm. Matches the in-game spec card.
AP Pen Far154.8 mm
Same formula at the ship's max firing range (18.6 km), where the shell has slowed to 374.1 m/s: 1e-7 × 2508 × 185.3^0.69 × 0.234^-1.07 × 374.1^1.38 = 154.8 mm.
HE penetration59 mm
59 mm ≈ 234 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 ~58mm armor instead of ~39mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch16 mm
floor(234 mm caliber / 14.3) = 16 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius35
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 time27.7 s
180 degrees / 6.5 deg/s traverse speed = 27.7 s.
HE full-salvo alpha23,100
3,850 HE damage x 6 broadside guns = 23,100.
AP full-salvo alpha34,500
5,750 AP damage x 6 broadside guns = 34,500.
Base HE DPM86,625
23,100 HE full-salvo alpha x 60 / 16 s base reload = 86,625.
Base AP DPM129,375
34,500 AP full-salvo alpha x 60 / 16 s base reload = 129,375.
Base shells/min22.5
6 broadside guns x 60 / 16 s base reload = 22.5.
Base fires/min5.4
6 HE shells x 60 / 16 s reload x 24% fire chance = 5.4.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time8.2 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed61 kt
Travel time to max range50.5 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 damage114,664
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage57,332
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS728
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (119×3.5×0.9) + (69×3.5×0.85) + (47×3.5×0.9) = 728. 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 index2463
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)256,000
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: 8×2 114 mm (8/side) × 60/3 × 1600 = 256,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1600
Maximum HE damage per shell across secondary HE families. Best on this ship: 1600 from the 114 mm family.
Max HE fire chance7%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 7% from the 114 mm family.
Max HE pen19 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: 19 mm from the 114 mm family.
Damage Control Party
Sonar
Defensive AA Fire
Repair Party