While employed by Marconi, he was appointed, in around June 1922, to Marconi's experimental station 2LO, the British Broadcasting Company's forerunner, to be responsible for concerts broadcast from Marconi House, under the management of Arthur Burrows. By the end of that year, 2LO had been absorbed into the nascent British Broadcasting Company. He was its first director of music. He continued to work for the BBC after it became the British Broadcasting Corporation in 1927. While at the BBC, Jefferies made broadcasts in which he gave organ recitals and conducted orchestral performances. He composed music for Children's Hour programmes, on which he played the character of Uncle Jeff, and undertook the role of what would now be called a continuity announcer. Another of his duties was to build a collection of music recordings, which became the BBC Music Library. He was responsible for the appointment, in 1923, of Cecil Dixon as the BBC's first accompanist, the two having become acquainted at the Royal College of Music. Famously, the director of the BBC, John Reith, was once entertaining the Archbishop of Canterbury, Dr Randall Davidson, who expressed a love of piano music. Reith telephoned the BBC's headquarters, and within minutes, Jefferies was playing Schubert's Marche Militaire, live on air. In 1924, he conducted the London Symphony Orchestra in a series of concerts at the Central Hall, Westminster. However, in 1926, having realised that his opportunities to progress as a musician and conductor were limited, he moved to a more technical role, responsible for the quality of broadcasts. Jefferies left the BBC in June 1935, after further career disappointments, despite support from Adrian Boult. Following military service in World War II, he returned to the BBC as a producer, continuing in the latter role until at least 1956. He retired formally from the BBC that year, though he continued to undertake some work for them until the next year. In October 1935, shortly after leaving the BBC "with much regret", he published a three-part reminiscence of his radio work, "Soap Box Days", in the magazine Popular Wireless. He was a Licentiate of the Royal Academy of Music.
Legacy
Jefferies developed new techniques for positioning microphones and controlling sound levels for broadcasting an orchestra, a subject he named "balance and control"; he wrote about this, and more, in The Radio Times, and it was extensively covered in a 1984 PhD thesis presented to the University of Leicester. Its author, Geoff Matthews, observed: Jefferies working methods are also described in two autobiographical volumes by his BBC colleague Cecil Lewis: Broadcasting From Within and Don't Look Back.