Lnux Mint

LMDE in brief
Linux Mint Debian Edition (LMDE) is a semi-rolling distribution based on Debian Testing.
It’s available in both 32 and 64-bit as a live DVD with MATE or Cinnamon.
The purpose of LMDE is to look identical to the main edition and to provide the same functionality while using Debian as a base.
FAQ
1. Is LMDE compatible with Ubuntu-based Linux Mint editions?
No, it is not. LMDE is compatible with Debian, which isn’t compatible with Ubuntu.

2. Is LMDE fully compatible with Debian?
Yes, 100%. LMDE is compatible with repositories designed for Debian Testing.

3. What is a semi-rolling distribution?
Updates are constantly fed to Debian Testing, where users experience frequent regressions but also frequent bug fixes and improvements. LMDE receives "Update Packs" which are tested snapshots of Debian Testing. Users can experience a more stable system thanks to update packs, or switch their sources to follow Testing, or even Unstable, directly to get more frequent updates.

4. How does LMDE compare to the Ubuntu-based editions?
Pros:

You don’t need to ever re-install the system. New versions of software and updates are continuously brought to you.
It’s faster and more responsive than Ubuntu-based editions.
Cons:

LMDE requires a deeper knowledge and experience with Linux, dpkg and APT.
Debian is a less user-friendly/desktop-ready base than Ubuntu. Expect some rough edges.
More Info.