In addition to being part of a common saying, the show's title also alludes to the song "Master of None" by Beach House, featured in Master of None: Hot Ticket (2015).
You see The Social Network? Max Minghella plays an Indian guy. He's white. They browned him up.
Ravi: No no, I read he's one-sixteenth Indian.
Dev: Who cares? If you go back far enough we're all one-sixteenth something. I'm probably one-sixteenth black. You ...
Aziz Ansari's character's name is Dev Shah and yet he is shown speaking Tamil in the childhood shots. It is not entirely out of the realm of the possible for a 'Shah' to live in Tamil Nadu but it is a stretch that they would talk Tamil at home and address their grandfather as 'Thatha'. People with the surname Shah are usually from Gujarat and speak Gujarati.