The old Basik PSU was based around a simple bit of technology called a synchronous motor and a phase shift PSU. The mains frequency in the UK and Europe is VERY tightly controlled, by law, far more so than voltage, and people use this to regulate the speed of electric motors. A synchronous motor's speed is dictated by the mains freq, so you can see how this is going. The purpose of the PSU, in the case of the Basik a simple capacitor, is to generate 2 wave forms, one "out of phase" with the other. Think of 2 waves, one lagging. One wave feeds the stator (non rotating) part of the motor, the other the rotor. Because there is a phase difference the magnetic fields generated by the sine wave going in cause the motor to turn, and because the sine wave is always on the move the rotor has to turn with it *at the same speed as the sine wave is shifting*. There you go, a simple, constant speed, motor. Try to do the same with a DC motor and you will be there for weeks.
The Valhalla was a slightly more sophisticated means of getting the same thing, the Lingo a 50Hz generator. The Armageddon was basically a Basik with a trafo to take out any crud and generate a 110V signal for the motor for less vibration.
I am not familiar with the Magik but it's probably just the Basik rehashed. Magik it isn't, it's a simple bit of physics that any A level student can understand.
What it costs, well, that's whatever Ivor can get for it. Or these days his son.