He was one of four artists including Bismillah Khan, Ali Akbar Khan, and Ravi Shankar who participated in the hugely popular Hollywood Bowl music festival in Los Angeles in the summer of 1967.In 1974, KVN went to teach in Berkeley, California for a year, in the company of dancer Balasaraswati and sitarist Nikhil Banerjee.
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He was described as the "Gentle Perfect Knight" of Carnatic music, a phrase from Geoffrey Chaucer, by V. K. Narayana Menon, prominent art critic of India and recipient of the Sangeet Natak Akademi Fellowship.
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Accompanied by doyens Palghat Mani Iyer and Papa Venkataramayya, this concert proved to be a milestone in Narayanaswamy's career.
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The training under Palghat Mani Iyer allowed KVN to develop a solid knowledge of rhythmic nuances.
Aishwarya, today, has the honour of being the disciple of musical stalwarts - Sangita Kalaacharya Smt Seethalakshmi Venkatesan, Padma Bhushan Sri P. S. Narayanaswamy and Sangeetha Kalasagaram Smt Vegavahini Vijayaraghavan, thus being an upholder of the Semmangudi bhani and the Veena Dhanammal bhani.
Thooran also availed of the services of senior musicians like K. V. Narayanaswamy, T.K. Govinda Rao and T. V. Sankaranarayanan.
A recipient of the Sangeet Natak Akademi and Kalaimamani awards, Narayanaswamy accompanied renowned musicians like M. S. Subbulakshmi, S. Rajam and Guruvayur Dorai.