Good news, I got the answer from Jamie of Vertex regarding the Wavewidth:
Let me try to explain this clearly. The Wave is the flowing change of intensity from pad to pad, left to right or right to left. It is associated to the West Point First, West Triangle, etc. I often refer to this funtion as a 'walk'. Our programmers have dubbed it 'Wave'. Very poetic.
If the Wave is at one, in any given wave function, the first pad will reach 100% of the programmed function (dimming, storm, etc) before the next pads starts with the function. When set at two, then the second pad will start when the first pad has reached 50% of the programmed function. With 4 Wave, the second pad starts at 25% of the first, the second at 50% of the first, the 3rd at 75% of the first, etc. I hope you follow this.
This can give a soft change of intensity or a strong change during a wave. This designation will be integrated in all wave functions. One cannot have a Wave 1 for moon and a Wave 4 for daylight (not yet, anyway. Could come, who knows). Your wave number cannot be greater than the number of main modules, obviously.
Other than the optical effect created, I find the wave allows a more natural sun transit effect, which lights the corals at changing intensities from different angles. Pigment and zooxanthellae distribution is thus more even in the corals tissues and you avoid that coloured top/browned underside effect.