Hello.

I appreciate for your target and your unique interest.

Yes there are many courses and even degree certification is also there in music. You can pursue diploma, advance diploma, masters also in music. 

These are some reputed institutions for music in India

• KMMC: The Conservatory ‐ Chennai - Established by the A.R. Rahman foundation in 2008, the KM Music Conservatory is one of the best institutes in India. The living legend of Music, A.R. Rahman, serves as the Head Principal of the institute. What more do you want from a musical institute? Located in the campus of KM College of Music and Technology, this institutes boasts of powerful faculty members having vast experience in the world of music.
• Delhi School Of Music- If you are interested in Western Classical Music, this is the place to be. Established in the year 1966, by Dr. H. J. Koellreutter, this one of the few music schools in India that has a tie up with the some of the best European Music Schools viz. The Royal Schools of Music and the Trinity School of Music.
• Madras Music Academy - This is one of the oldest music academies of India. Established in the year 1928, this institute has been influential to promote the Carnatic style of Indian classical music. The academy offers full-time and part‐time courses, as well as a special Vocal music course for a duration for 4 years.
• Swarnabhoomi Academy of Music, Tamil Nadu - Founded by GRK Reddy, in the year 2010, SAM boasts of a top‐class faculty which includes acclaimed musicians not only from India, but some of the best jazz, Latin, and rock musicians from the USA. Not to mention, the faculty also consists of members from legendary bands such as Dream Theater, Journey, and Yes.

Hope this is helpful.

Good luck.