Find the moon's phase and illumination for any date.
The Moon Phase Calculator estimates the age of the moon (days since the last new moon) and its approximate phase and illumination percentage for any given date, based on the mean 29.53-day lunar synodic cycle.
This uses a fixed known new moon reference point and the average synodic month length, so results are approximate (within about a day) rather than precise ephemeris calculations.
For a date roughly 15 days after a new moon, the moon age is about 15 days, which falls near a Full Moon phase with close to 100% illumination.
Using days since a known new moon divided by the lunar cycle length (about 29.53 days).
The Moon's orbital mechanics don't align to a clean whole number of days.
Yes — new and full moons produce larger "spring tides," quarter moons produce smaller "neap tides."