Sarvapitri Amavasya: This is the Amavasya (new moon day) falling during Pitru Paksha, specifically meant for offering Shradh to all ancestors, especially those whose death Tithi is unknown or for whom rites may have been missed. It is highly significant in Prayagraj.
Amavasya of any month: Shradh can be performed on the new moon day of any lunar month.
Magh Amavasya (Mauni Amavasya): Particularly potent during Magh Mela.
When performing the Sankalpa, you can state that the Tithi is unknown, and the Pandit will guide you through the appropriate procedure to ensure the offerings reach the intended ancestors.