Schedule Page

I’m trying to create a schedule page for a radio station similar to these:

From what I see it seems like the pages are actually archive pages and the show and times seem like posts. If this is correct how can I organize the post by time, from 12:00am to 11:59pm, and how can I get the calendar to like to the correct pages. And how do I get the posts to recur on a daily basis? I’ve been searching this out for a while now, I’ve tried a few calendars and custom fields but I’m stuck, can anyone help me?