SMALL BEAM LASERS
Beam lasers SHOULD NOT hold the "Gatling" term (it's pulse lasers specific), please don't screw around trying to homogenize everything with the term "Gatling".
The original term is fine. See:

Dual Light Beam Laser I
Dual Modulated Light Energy Beam I

Light Beam Laser I
Light Modulated Energy Beam I

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SMALL PULSE LASERS
Simple continuity from the beam version. "Gatling Light" inserted for improved clarity.
See:

Gatling Light Pulse Laser I
Gatling Modulated Light Pulse Energy Beam I

Dual Light Pulse Laser I
Dual Modulated Light Pulse Energy Beam I

Light Pulse Laser I
Light Modulated Pulse Energy Beam I

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MEDIUM BEAM LASERS
Again, remove the term "Gatling" from the beam laser family. The quad laser is probably the most confounding due to its name. It just needs a small and simple touch. "Solid-state" is an ungraceful name, some better alternates are "Positron/Antiproton" (the reasoning for this is to aim for a loose association with the next level tachyon beams), but I'm in more favor just sticking in "Medium". There may be some initial confusion (with the current Medium Beam), however in the long run, it should work out fine. See:

Quad Medium Beam Laser I
Quad Modulated Medium Energy Beam I

Focused Medium Beam Laser I
Focused Modulated Medium Energy Beam I

Medium Beam Laser I
Medium Modulated Medium Energy Beam I

Edit: Striked the extraneous "Medium"

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MEDIUM PULSE LASERS
Simple continuity from the beam version.

Focused Medium Pulse Laser I
Focused Modulated Medium Pulse Energy Beam I

Medium Pulse Laser I
Medium Modulated Pulse Energy Beam I

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LARGE BEAM LASERS
There's nothing wrong with the current scheme. It should be preserved. When you omit "Dual", you screw the actual turret art.
"Heavy" inserted for improved clarity. See:

Dual Heavy Beam Laser I
Dual Modulated Heavy Energy Beam I

Mega Beam Laser I
Mega Modulated Heavy Energy Beam I

Tachyon Beam Laser I
Tachyon Modulated Heavy Beam Laser I

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LARGE PULSE LASERS
Simple continuity from the beam version.

Dual Heavy Pulse Laser I
Dual Modulated Heavy Pulse Energy Beam I

Mega Pulse Laser I
Mega Modulated Heavy Pulse Energy Beam I