Use the Time Panel to select a time period you haven't experienced today to switch to quickly.
A game day is divided into 4 parts: Morning, afternoon, evening, and late night. The street scenes change with each part of the day. For example, some shops are closed at late night. Sometimes, advancing to different parts of the day is necessary to progress in the game.
The following actions progress time:
Complete Plot, battles, and Exploration Commissions