The Mishra Jaati and the Sankeerna jati is demonstrated here. Mishra has 7 beats Ta Ki Ta Ta Ka Dhi Mi. Sankeerna has 9 beat Ta Ka Dhi Mi Ta Ka Ta Ki Ta.

A Jaati is a pattern that  gives us the basic feel of a Thalam. Read the article Tala System to get a hang of how it works. What you need to understand as a beginner of Bharatanatyam is that there are five Jaatis. Every jaati is denoted by a set of syllables. They are:
The Tishra, [...]