🌙Moon Phase Calculator
The moon phase on any date can be calculated using the synodic period (29.53 days) — the time for the Moon to return to the same phase. Starting from a known New Moon date, you calculate how many days have elapsed and where that falls in the lunar cycle.
- 1Use a known New Moon as a reference (e.g., 6 January 2000)
- 2Calculate days elapsed from reference to target date
- 3Divide by synodic period (29.53058 days) and take the remainder
- 4The remainder tells you the phase: 0=New, 7.4=First Quarter, 14.8=Full, 22.1=Last Quarter
Day 0 of cycle=🌑 New MoonMoon not visible
Day ~7.4=🌓 First QuarterRight half lit
Day ~14.8=🌕 Full MoonFully visible
Day ~22.1=🌗 Last QuarterLeft half lit
| Phase | Emoji | Day in Cycle | Illumination |
|---|---|---|---|
| New Moon | 🌑 | 0 | 0% |
| Waxing Crescent | 🌒 | 1–7 | 1–49% |
| First Quarter | 🌓 | ~7.4 | 50% |
| Waxing Gibbous | 🌔 | 8–14 | 51–99% |
| Full Moon | 🌕 | ~14.8 | 100% |
| Waning Gibbous | 🌖 | 15–22 | 51–99% |
| Last Quarter | 🌗 | ~22.1 | 50% |
| Waning Crescent | 🌘 | 22–29 | 1–49% |
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