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The above calculations are based on the graph below (courtesy of Wikimedia) and ephemeris data from AstroPixels.com with added annotations. 
The declination values are geocentric maximums for each lunar cycle centered around the 2020 Equalized Lunar Standstill season.  The first table gives geocentric declination values adjusted for specific latitudes which to determine where and when the moon will appear to rise/set at declinations corresponding to modern solstice positions as well as solstice positions for 1800 BC and 2800 BC.  Latitude of a site should be located in the second table to find a date corresponding to the desired event.  The reason these are latitude dependent and the matching northern and southern events don't occur on the same cycle is because of lunar parallax.  The resulting declination values must be checked during local rise/set events on either side of the given dates to determine closest or desired target values.  Illumination values will also vary during actual local rise/set events but give an indication of brightness with the generalized day/night rise/set notes which should be roughly accurate for most latitudes except extremes.
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