I am enjoying all of the math calculations in your post. Can't wait to here about the "better" solar calendar.
I do however think that restructuring the current Gregorian style calendar would be faced with a lot of opposition. I would also be curious to know what kind of costs would be associated with a change of this magnitude - creating new calendars, rewriting books, re-programming computer software, etc.
First of all, thank you for pointing out that the calendar we use today is the Gregorian calendar, not the Julian. Ì fixed the text. Also, you make a good point that it may be quite difficult to move from one calendar to another. However, it is not impossible and of course, was done before.