6 phase is much the same as 3 phase, many motors are actually wound with the coils displaced electrically by 60 degrees, it is easier with 2 layer windings.
If you do it this way to get the 120 deg displacement for 3 phase you need to reverse the connections to the middle phase. By doing this you get the 120 deg separation.
To do it with a single layer winding you need to mirror 3 of the phases. Take the simplest case of an 8 pole axial with 6 coils, for 3 phase you have 2 coils in series per phase and 3 coils are connected to a star point. If you star all 6 coils you end up with 6 leads and a 6 phase winding. opposite coils of each phase will now be 180 deg apart so you have 3 phases 120 deg apart and the mirror coils giving another set 120 apart but displaced 180, You end up with 6 phases with an electrical displacement of 60 deg.
What happens when you rectify this with a 6 phase bridge rectifier ( 2, 3 phase bridges in parallel)is that instead of the peak conduction occurring at 1.73 x rms it comes out like the single phase case with the peaks directly opposite at 2 x rmsv.
You get a higher voltage at cut in than the 3 phase case but as your input voltage rises with increase speed the rectifier conduction changes and at full operating power the thing reverts back to normal 3 phase conduction pattern.
The current out with load for 3 phase into a battery is pretty much a straight line from cut in to full speed, there tends to be a bit of a toe near cut in but it is fairly small. With the 6 phase this toe is more pronounced and you get a load curve that starts at lower speed with conduction coming on more slowly and this is much more like the prop power curve, shallow near cut in and steep near full speed.
Hugh's 5 phase case shows this tendency also but instead of 2 x vrms it is nearer 1.9.
My load tests showed the actual efficiency in 6 phase to be marginally lower than 3 phase, but efficiency doesn't count for much compared with load matching.
If instead of linking all 6 leads in star, you star the 3 coils in each section you have a parallel star winding. You can convert from 3 phase parallel star to 6 phase simply by joining the 2 star points so you would have the option of trying the two methods as a comparison.
You can do this trick with any 3 phase single layer winding with coils diametrically opposite. It doesn't work for 12 pole 9 coil but does work for 16 pole 12 coil etc.