I made "mood lights" with an oscillating fader circuit made with a dual opamp and an output transistor. Three of these circuits drive red, green and blue LEDs. The oscillator frequencies are all a little different so that the three colors add "randomly" and produce millions of colors including pure white and darkness.
Your waveform has square-waves that need additional circuitry to make fading of one color at a time in one sequence, over and over.