incremental backup with weekly full backup

Hi,

Would it be possible to combine profiles in such a way that the result would be:

A full on every friday even weeks
A full on every friday uneven weeks
incremental on mo, tue and wed looking at the last full backup

Assumption:
The incremental only looks at the most recent full backup
This way I always have a full backup, even as the computer fails halfway during a full backup
The fulls are always being overwritten by one from two weeks ago

Question:
What would happen with the incrementals, are they also overwritten?

Could this combination of profiles work and result in a maximum of 3 incrementals with a full from maximum 1 week ago?

Hope you can help me.

Leslie