Is there any raga from
1) Sampoorna- Shadav
2) Sampoorna-Audav
3) Shadav-Audav ???
Because I have read somewhere that number of notes in aroha are always less than avaroha . If it's true then why above mentioned 3 Jatis have existence ???
(If there any example related to this 3 jatis then please share).
Interesting observation...I have really not given this a thought, but we can certainly get a general feedback here if there are any or no ragas which have all the seven swara in the aaroha, but lesser in the awaroha...
In any case, I can answer the second part of your question. The Jatis as you mention is only a method of classification, and at the most denotes the mathematical possibility. Whether a combination becomes a raga, is solely decided by whether it sounds good to the ear....and then stands the test of time to establish itself......
As there is a large class following this "method of classification-jati". hence it has it's own value. it also makes Indian classical music ergonomically strong If we have more clarity about the system, it will be more accurate.