When the Sun and Moon are aligned on the same side of the Earth, the Moon is "new", and the side of the Moon visible from Earth is not illuminated by the Sun. As the Moon waxes (the amount of illuminated surface as seen from Earth is increasing), the lunar phases progress from new moon, crescent moon, first-quarter moon, gibbous moon and full moon phases, before returning through the gibbous moon, third-quarter moon, crescent moon and new moon phases. The terms old moon and new moon are interchangeable, although new moon is more common. Half moon is often used to mean the first- and third-quarter moons.
The average calendrical month, which is 1/12 of a year, is about 30.4 days, while the Moon's phase (synodic) cycle repeats every 29.53 days. Therefore the timing of the Moon's phases shifts by an average of about one day for each successive month.
Phase Northern Hemisphere Southern Hemisphere
Darkened moon Not visible Not visible
New moon Not visible, or traditionally, the first visible crescent of the Moon
Waxing Crescent moon . Right 1-49% visible Left 1-49% visible
First Quarter moon Right 50% visible Left 50% visible
Waxing gibbous moon Right 51-99% visible Left 51-99% visible
Full Moon Fully visible Fully visible
Waning gibbous Moon Left 51-99% visible Right 51-99% visible
Last Quarter Moon Left 50% visible Right 50% visible
Waning Crescent Moon Left 1-49% visible Right 1-49% visible