just guessing, just woke up, but have you tried moving your nudge _inside_ the
floor function?

#declare Start = 6+(1/12);

 #declare CSolid_HSLSphere_Lightness_stepped = function { floor(Start *
 f_ph(x,y,z)/pi)/6};

When it gets complicated, break the calculations up into parts, and graph them
all.
I always use spreadsheets to help me out with things like this.

Another thing to try is adding or subtracting pi/12 from your f_ph funtion to
actually rotate the results

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