[Fichori]

“Just don't ask me how long a day was in the mind of the writer.” [excerpt]

Okay, I won't. ;-)

“If they found that one did run faster, I bet there would be much disagreement as to 'why'.” [excerpt]

With the Earth orbiting the Sun, and the Moon orbiting the Earth, the Moon's absolute velocity goes through a cycle that coincides with the lunar cycle.

When the Earth is between the Moon and the Sun, the clock on the Moon should run slower, and when the Moon is between the Earth and the Sun, the Moon's clock should run faster. (I think)

However, I imagine there may be an overall difference due to the difference in gravity.

[UCANSEE2]

When the Earth is between the Moon and the Sun, the clock on the Moon should run slower, and when the Moon is between the Earth and the Sun, the Moon's clock should run faster.

If that is true, then nobody really knows what time it is. No wonder the moon rises late sometimes.