| New moon | May 4, 1780 | |
| Waxing crescent | from May 5, 1780 to May 10, 1780 | |
| Moon first quarter | May 11, 1780 | |
| Growing moon | from May 12, 1780 to May 17, 1780 | |
| Full moon | May 18, 1780 | |
| Waning moon | from May 19, 1780 to May 25, 1780 | |
| Moon third quarter | May 26, 1780 | |
| Waning crescent | from May 27, 1780 to Jun 2, 1780 |
| New moon | Jun 3, 1780 | |
| Waxing crescent | from Jun 4, 1780 to Jun 9, 1780 | |
| Moon first quarter | Jun 10, 1780 | |
| Growing moon | from Jun 11, 1780 to Jun 16, 1780 | |
| Full moon | Jun 17, 1780 | |
| Waning moon | from Jun 18, 1780 to Jun 24, 1780 | |
| Moon third quarter | Jun 25, 1780 | |
| Waning crescent | from Jun 26, 1780 to Jul 1, 1780 |
| New moon | Jul 2, 1780 | |
| Waxing crescent | from Jul 3, 1780 to Jul 8, 1780 | |
| Moon first quarter | Jul 9, 1780 | |
| Growing moon | from Jul 10, 1780 to Jul 15, 1780 | |
| Full moon | Jul 16, 1780 | |
| Waning moon | from Jul 17, 1780 to Jul 23, 1780 | |
| Moon third quarter | Jul 24, 1780 | |
| Waning crescent | from Jul 25, 1780 to Jul 30, 1780 |