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This plugin will set up a custom post type and taxonomy for live schedule like YouTube Live.
On the new post type, you can use original custom field section including type of the schedule (time fixed schedule, time not fixed (only date fixed) schedule, canceled schedule and day off schedule) and the urls.
Also iCalendar file can be delivered. It can be imported with URL to the major calendar apps (e.g. Google Calendar, Apple Calendar App and so on).