this post was submitted on 31 Dec 2025
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The mathematical error os not basing our time counting on that ratio. The number is only 365.2422 because our second, hours, days are too long/short.
We can just decide we want one rotation to be exactly 366 units and then work backwards from there to determine new units.
A day is defined as a single rotation around earths axis. A year is a single rotation around the sun. The 356.2422 is the result of those two definitions. Earth takes 356.2422 rotations around its axis to rotate around the sun. That is a fact. You could define a unit to be 366th of a rotation around the sun, you could even call it a day, but as a result you lose the reason a day is a useful unit: It's the time it takes for earth to spin around its axis, a far more useful definition than 366th of a year.
Days are defined by a different natural cycle, that of the earth's rotation around its axis. That happens 365.2422 times every time we go around the sun. You can't just assign the length of a day to something more convenient
A year is exactly 3 days!