Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.Max Horiz Disp (m)133.1
Horizontal dispersion ellipse width at the ship's max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30.Max Vert Disp (m)79.8
Vertical dispersion ellipse height at max range = horizontal × radiusOnMax.Med Horiz Disp (m)42.5
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(sigma), the sigma-dependent normal quantile.Med Vert Disp (m)25.5
50%-hit vertical radius = max vertical × GetHalfHitsRatio(sigma).AP Pen Close (mm)177.6
0.5561613 * Krupp/2400 * v^1.1 * mass^0.55 / caliber_mm^0.65, with impact velocity from a numerical trajectory integration. Value at 1.5 km.AP Pen Far (mm)60.5
Same model at the ship's max firing range (14.5 km), where the shell has slowed to 278.5 m/s.HE penetration23 mm
floor(140 mm caliber / 6).AP overmatch9 mm
floor(140 mm caliber / 14.3).Broadside guns used for alpha3
Barrels that can bear on one beam (3 of 4); casemate/wing mounts only fire one side.Turret turn time21.2 s
180 degrees / 8.5 deg/s traverse speed.HE full-salvo alpha7,200
2400 HE damage x 3 broadside guns.AP full-salvo alpha8,100
2700 AP damage x 3 broadside guns.Base HE DPM54,000
HE full-salvo alpha x 60 / base reload.Base AP DPM60,750
AP full-salvo alpha x 60 / base reload.Installed HE DPM72,000
HE full-salvo alpha x 60 / installed Artillery reload.Installed AP DPM81,000
AP full-salvo alpha x 60 / installed Artillery reload.Base shells/min30
3 broadside guns x 60 / 6 s base reload.Installed shells/min33.3
3 broadside guns x 60 / 5.4 s installed Artillery reload.Base fires/min3
3 HE shells x 60 / 6 s reload x 10% fire chance.Installed fires/min3.33
3 HE shells x 60 / 5.4 s installed reload x 10% fire chance.