
I like it, but it has pretty short tails and round part at the top and increases more quickly than I had in mind. I'm considering proposing one like this:

which would be more like PWMParabola with tails. What does anyone think of how that looks? When specifying "Duration" for that one it would mean the Half-Width-Half-Max, so with a 12 hour photo period, a "Duration" of 3 hours would give you a day that looks like the picture above. A duration of 1.5 hours would increase more quickly and have a large flat part on the top.