Event Plugin That Allows Reoccuring Series

Hi,
I’m looking for a event plugin where it is possible to have multiple event series of the same event running concurrently.

For example, say I have a course running on the selected dates:
2nd January, 3rd January, 4th January – (Daily)
BUT the exact same course is also running on:
1st January, 8th January, 15th January (weekely)

See how to two occurrences overlap? The events plugins I have tried support reocurring events but only one series of them and not two.
Does anyone know of any plugins or mods I could use to achieve this?

Thank you for any suggestions.
Chris