incremental backup with weekly full backup


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

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

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.