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> 3. A year is more precisely 365.2422 days.

Well. That depends how you measure it. You get a different answer depending on whether you’re measuring the mean tropical year, or spring equinox to spring equinox, or winter solstice to winter solstice, or etc.

Also your descendants will get a different answer when they measure it in a few thousand years time. If this calendar was adopted, it would get abandoned before a 60k-ish year cycle completed and a year with three leap months was inserted, let alone a year with four leap months. It feels like bugs would slip in.

Better would be to adjust the cycle so that leap years occur slightly more often, but no more than one month is added to any one year, similar to the proposal that 8 years out of every 33 in the Christian calendar should be leap.

244 leap years in each 5500-year cycle leaves quite a small residue.
Sorry, what 5500 year cycle are you talking about?
I mean 240 leap years every 5500 years, like 8 leap years every 33 years you mentioned.
Ah, gotcha :-)
I had a friend who, before 2012, advocated for a calendar based on the Mayan calendar which had a “day out of time” which was not a monday, tuesday or any of those.

If you just made Christmas into such a day or added a festival day it would help make the day special and make ordinary years line up, in the case of leap years you would have to add another “day out of time.”

I think though that a lot of organizations would struggle to fit a day like that into their scheduling systems, though in the case of Christmas almost everything shuts down anyway.

Different cultures would probably make different choices for the "singular" day.
I would make the case for Christmas in our culture because almost everything shuts down on that day so the trouble of “Who is on call on day X?” is minimized. Other cultures would pick a different day but that leads to the problem of it being Monday in your zone and Tuesday in their zone between your days.

See

https://www.crystalinks.com/dayoutoftime.html

for the version of it in the calendar I mentioned.

A local portable toilet rental company uses the Eastman-Kodak [1] calendar (13 equal months; numeric dates always fall on same weekday; New Years Day is not in any month).

They do this for profitability, as it allows them one additional billing cycle per annum. I feel it's dishonest, they feel it's "business as usual."

[1] https://en.wikipedia.org/wiki/International_Fixed_Calendar

We could move the earth just a little bit closer to the sun. I am sure someone here could work out by how much.
That is likely to worsen global warming :(