Moon Magic is working with the power or phases of the moon. Humans are comprised of between 60-70% water so it makes sense that our bodies would respond to the pull of the same moon that controls the ocean tides.
The moon phases are generally thought of as new/dark moon, waxing crescent, first quarter, waxing gibbous, full moon, waning gibbous, third quarter and waning crescent.
The dark moon is a void. It’s nothingness so is a perfect time for new starts. As the moon phases progress toward full, magical works can use the power of fulfillment toward spells of increase like more money, better relationships and more. The full moon is very powerful for spells of culmination. The diminishing powers of the waning moon are perfect for spells of decrease like less stress, less debt and others.
Covens who practice full or new moon rituals call these esbats. They are normally held each month and are often focused on goddesses due to the connection between femininity and the Moon.