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The ww2 30 mm round will be ill able to outperform a 40 mm Bofors round. Even if it such a powerful as the 30x210. The max range was 9600m IIRC, max altitude 6400m for the Czech M53/59 gun. The German 37 mm fired a lighter shell at a lower velocity than eg. Soviet 37 mm, let alone the Bofors, so while the MK 303 probably would be able to match the range and altitude of the German gun, the Bofors will be still one notch better.

While no country but Germany developed a 50 mm AA gun, the Swedes, Soviets and Czechs developed 57 mm ones. Soviets shoot themselves in a foot by not installing a radar on the ZSU-57-2, the effective range was probably not that better than of the Bofors of ww2 vintage. Another missed oportuniy was the SP 37 mm, two barreled AA named Yenisey, with on-board radar.
The 5-6 cm Flak woul be nice to have, however Germany was having troubles to churn out enough of 37 mm guns.
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Now that we're at it, could someone please delete/correct the statement from Wikipedia that says for the the Soviet post-war S-60 gun:

The S-60 fires ammunition in 57x348SR caliber, a cartridge noticeably weaker than the 57mm ammunition of either Bofors 57mm AA gun, or Soviet 57 anti-tank guns of World War II.

that is away from the truth really. Form here.
 
There was little room for experimentation with gatling guns in Germany but is very likely that IF the war lasted till 1946 the Me-262 could use operationally a couple of MG 213 30mm guns in the nose. Combined rate of fire will be 2450 rpm, muzzle velocity not very good 540 mps.

ds262-2.jpg
 
Operation
The gun was developed by Mauser but, as far as known, was never deployed. It was developed from an earlier design: the MG 213A. The MG 213A utilized a gas-driven operation. In the MG 213, the direct movement of the revolver cassette was changed to a diagonal cam with a follower. This actuated a rammer that both fed cartridges into the cylinders and revolved the cassette. Sealing was accomplished by packing the cylinder and breech with heat resistant steel. This innovation allowed chamber movement while the gas pressure was very high. The revolver cassette had five chambers[2] and at least 3 chambers were full during operation, feeding, firing, and extracting. The cylinder was fed at the 5 o'clock position and fired at the 12 o'clock position. Upon discovery of examples of the gun, it caught the attention of autocannon developers in Switzerland, France, Britain, and the US. The British ADEN cannon was developed eight years later, while the US M39E was rushed into combat evaluation during the Korean War.[3]
20mm MG213
  • Caliber: 20 mm × 135 mm (0.79 in × 5.31 in)
  • Weight: 75 kg (165 lb); assembled weight 96 kg (212 lb)
  • Length: 1,930 mm (76 in)
  • Barrel length: 1,600 mm (63 in)
  • Rate of fire: 1200–1400 rounds/min (~21 rounds/s)
  • Muzzle velocity: 1,050 m/s (3,400 ft/s)
30mm MK213
  • Caliber: 30 mm × 82 mm (1.2 in × 3.2 in)
  • Weight: 75 kg (165 lb); assembled weight 96 kg (212 lb)
  • Length: 1,630 mm (64 in)
  • Barrel length: 1,300 mm (51 in)
  • Rate of fire: 1000–1200 rounds/min
  • Muzzle velocity: 530 m/s (1,700 ft/s)
    1 mg-213.png
 

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