Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp121.7 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (12850/30·(8−1.1)/1000 + 1.1)·30 = 121.7 m
Max Vert Disp73 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 121.7 × 0.6 = 73 m
Med Horiz Disp38.9 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 121.7 × 0.32 (σ=2) = 38.9 m
Med Vert Disp23.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 73 × 0.319 (σ=2) = 23.3 m
Dispersion familyCruiser Disp.
Standard cruiser dispersion baseline.
AP Pen Close218 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 × 2598 × 25^0.69 × 0.127^-1.07 × 792^1.38 = 218 mm. Matches the in-game spec card.
AP Pen Far45.8 mm
Same formula at the ship's max firing range (15.6 km), where the shell has slowed to 255.9 m/s: 1e-7 × 2598 × 25^0.69 × 0.127^-1.07 × 255.9^1.38 = 45.8 mm.
HE penetration21 mm
21 mm ≈ 127 mm caliber / 6 (standard HE penetration ratio).
AP overmatch8 mm
floor(127 mm caliber / 14.3) = 8 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 alpha12
All 12 barrels bear on the broadside.
Turret turn time7.2 s
180 degrees / 25 deg/s traverse speed = 7.2 s.
HE full-salvo alpha21,600
1,800 HE damage x 12 broadside guns = 21,600.
AP full-salvo alpha25,200
2,100 AP damage x 12 broadside guns = 25,200.
Base HE DPM223,448
21,600 HE full-salvo alpha x 60 / 5.8 s base reload = 223,448.
Base AP DPM260,690
25,200 AP full-salvo alpha x 60 / 5.8 s base reload = 260,690.
Base shells/min124.1
12 broadside guns x 60 / 5.8 s base reload = 124.1.
Base fires/min6.21
12 HE shells x 60 / 5.8 s reload x 5% fire chance = 6.21.
Torpedoes
Torpedo detectability0.7 km
Estimated torpedo reaction time4.5 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed60 kt
Travel time to max range67.1 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 damage132,264
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage66,132
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS268
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (48×3.5×0.9) + (37×3.5×0.9) = 268. 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 index1112
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.
Damage Control Party
Smoke Generator
Defensive AA Fire
Torpedo Reload Booster