An electrical power generator that increases both power generation efficiency and electrical power density. The generator includes: a plurality of disk surfaces; a plurality of stationary supports; and a rotating shaft affixed to each of the disk surfaces. Each disk surface is coupled to an array of magnets arranged as matching magnetic pairs on two adjacent disk surfaces so as to create a plurality of magnetic fields between the matching magnetic pairs. Each stationary support sustains an array of electromagnetic coils. Each coil is disposed in-between each of the matching magnetic pairs. Each rotating shaft rotates each of the matching magnetic pairs around the generator coils such that a time varying magnetic flux is provided and electrical power is generated in each of the generator coils.