Explanation:

Tyagaraja, Muthuswami Dikshitar and Syama Sastri are the three great composers of classical Carnatic music. They were contemporaries and lived in the 18th century in South India.

Carnatic music:

The common thing among these personalities is their contribution to Carnatic music. Carnatic music is a form of classical music that originated in South India. It is one of the oldest forms of music in the world, with a history that dates back over 2,000 years. The three composers contributed to the development of Carnatic music by creating new compositions, setting new standards for the art form, and influencing future generations of musicians.

Tyagaraja:

Tyagaraja was a composer, musician, and devotee of Lord Rama. He is regarded as one of the greatest composers of Carnatic music and is known for his compositions in Telugu and Sanskrit. His compositions are characterized by their devotional content and their use of intricate melodic patterns. Some of his famous compositions include "Nagumomu Ganala" and "Endaro Mahanubhavulu".

Muthuswami Dikshitar:

Muthuswami Dikshitar was a composer and musician who was known for his compositions in Sanskrit. He was one of the Trinity of Carnatic music along with Tyagaraja and Syama Sastri. His compositions are known for their use of complex rhythms and intricate melodies. Some of his famous compositions include "Sri Rangapura Vihara" and "Vatapi Ganapatim".

Syama Sastri:

Syama Sastri was a composer and musician who was known for his compositions in Telugu. He was one of the Trinity of Carnatic music along with Tyagaraja and Muthuswami Dikshitar. His compositions are known for their use of intricate melodies and complex rhythms. Some of his famous compositions include "Kamakshi" and "Devi Brova Samayamide".

Conclusion:

In conclusion, the common thing among Tyagaraja, Muthuswami Dikshitar, and Syama Sastri is their contribution to Carnatic music. They were instrumental in the development of the art form and their compositions continue to be popular today.