The Persona series is a mix of a turn-based rpg and life sim. In these games you have a limited time (in-game days) to complete certain objectives. By becoming closer with the main cast of the games in the life sim part, you become stronger in the rpg part. These games usually have an overarching theme for example: Persona 3 is acceptance of death cand celebration of life, while Persona 5 is being true to yourself and rebelling against unjust powers. The music in these games have a similar genre but somehow match the vibe of the different games.
This is the main menu music for Persona 5
There are many different songs for the life sim part, but this is the most common one for Persona 5
This is the normal battle music for Persona 5
This is the battle music for Persona 3