If the standard Kriegsmarine turret for the pocket battleships and battlecruisers had three guns, why didn't the Bismarck and Tirpitz have 3x 3 gun turrets, like the Scharnhorst and Gneisenau? That would have given 9 barrels instead of 8, 6 barrels steaming straight in instead of 4. Even with the extra weight of the larger 3 barrel turret over the 2 barrel turret, surely you'd have weight savings by the deletion of the fouth turret? That would have left a spare 1,000 tons or more of weight that could have gone into extra armour?
Troy