Rather long and old hat but bear with me:

A phase at midday or midnight indicates a misty cool spell of clam
weather with any winds coming from the north or east.

This is true, too, for times at 6 o'clock.

The pressure system is stalled with Lows and Highs in almost equal
number surrounding Britain and the overall pressure something like
1016 millibars.

Going back one hour to 11 o'clock (or 5) the weather in Britain tends
to be fine. Cold nights and sunny days with little cloud.

Back another hour and the weather tends to be unsettled with ridges or
troughs (spurs from High or Low pressure areas) intruding.

Those spells are likely to bring volcanic activity earth wide. Which
in turn aught to mean that the pressure in the North Atlantic at least
(I can't really comment on the North Pacific) should be slack. That
is, the Low pressure areas not very low and the Highs not very high.

With lunar phases at around 9 or 3 o'clock there should be a lot of
thunder about Britain. (Not that much as other countries go but for us
any thunderstorm is to be savoured.)

8 and 2 o'clock phases should bring tornadoes to the US Midwest.
(Actually it should bring a series of nation wide storms there
starting in the NW and moving to the east in summer further south in
winter.)

In Britain we tend to get ridges and troughs again but the clouds
betraying the weather are more like the ones associated with derecho
winds in North America; long cylindrical striations usually stretching
from hill to hill often crossing the horizon.

And with the phases at 1 o'clock and at 7 o'clock we get weather from
the Atlantic proper. Driving rain and windy stuff. Lots of it.

OK. That was the easy bit.

Now let's look at the permutations.