Main battery formulas
Shell Grouping (σ)1.9
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp188.5 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (16728/30·(10−1.6)/1000 + 1.6)·30 = 188.5 m
Max Vert Disp113.1 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 188.5 × 0.6 = 113.1 m
Med Horiz Disp62.5 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 188.5 × 0.332 (σ=1.9) = 62.5 m
Med Vert Disp37.5 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 113.1 × 0.332 (σ=1.9) = 37.5 m
AP Pen Close787.7 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 × 2636 × 1016^0.69 × 0.406^-1.07 × 768^1.38 = 787.7 mm. Matches the in-game spec card.
AP Pen Far410.5 mm
Same formula at the ship's max firing range (20.9 km), where the shell has slowed to 478.9 m/s: 1e-7 × 2636 × 1016^0.69 × 0.406^-1.07 × 478.9^1.38 = 410.5 mm.
HE penetration68 mm
68 mm ≈ 406 mm caliber / 6 (standard HE penetration ratio).
AP overmatch28 mm
floor(406 mm caliber / 14.3) = 28 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius150
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 time36 s
180 degrees / 5 deg/s traverse speed = 36 s.
HE full-salvo alpha45,600
5,700 HE damage x 8 broadside guns = 45,600.
AP full-salvo alpha99,200
12,400 AP damage x 8 broadside guns = 99,200.
Base HE DPM109,440
45,600 HE full-salvo alpha x 60 / 25 s base reload = 109,440.
Base AP DPM238,080
99,200 AP full-salvo alpha x 60 / 25 s base reload = 238,080.
Installed HE DPM121,600
45,600 HE full-salvo alpha x 60 / 22.5 s installed reload (Main Battery Mod. 3 = -10%) = 121,600.
Installed AP DPM264,533
99,200 AP full-salvo alpha x 60 / 22.5 s installed reload (Main Battery Mod. 3 = -10%) = 264,533.
Base shells/min19.2
8 broadside guns x 60 / 25 s base reload = 19.2.
Installed shells/min21.3
8 broadside guns x 60 / 22.5 s installed Artillery reload = 21.3.
Base fires/min6.91
8 HE shells x 60 / 25 s reload x 36% fire chance = 6.91.
Installed fires/min7.68
8 HE shells x 60 / 22.5 s installed reload x 36% fire chance = 7.68.
Torpedoes
Torpedo detectability1.1 km
Estimated torpedo reaction time7.7 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed55 kt
Travel time to max range64 s
range / (speed kt x 2.6 community game-speed factor).
Tube count6
2 launchers x 3 tubes.
Per-side salvo3 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage93,198
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage46,599
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS644
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (89×3.5×0.75) + (115×3.5×0.7) + (49×3.5×0.75) = 644. 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 index2024
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)180,000
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: 10×2 127 mm (10/side) × 60/6 × 1800 = 180,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1800
Maximum HE damage per shell across secondary HE families. Best on this ship: 1800 from the 127 mm family.
Max HE fire chance5%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 5% from the 127 mm family.
Max HE pen21 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: 21 mm from the 127 mm family.
Damage Control Party
Repair Party
Surveillance Radar
Catapult Fighter
Observation Seaplane
Secondary Battery Booster