Focusing on expanding the limited repertory for solo viola, she wrote and transcribed many works for that instrument, including Sergei Rachmaninoff's Cello Sonata and Johann Sebastian Bach's Cello Suites for viola.

Glyde was trained as soprano and violinist, studying under her father, a graduate of the Royal Academy of Music, from the age of four.

While a student at Auburn High School, she was concert mistress of the Sewanee Summer Music Center Orchestra, studying with Julius Hegyi.

She began her master's work at the Juilliard School under Dorothy DeLay, but switched to viola and moved into the doctoral program studying with Lillian Fuchs.

After graduation, Glyde joined the Manhattan String Quartet with her sister, Judith, and Eric and Roy Lewis.