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Mr. McCartney is the only one of the four musicians who is still alive. His spokesman, Stuart Bell, said the former Beatle is too busy on his world tour to comb his memory for his thoughts about a telegram sent more than four decades ago. 

In his autobiography, Davis said he and Hendrix occasionally jammed together at his apartment in New York City and tried to get into the studio to record but were hampered by financial matters and by their busy schedules. Mr. Murray and others maintain that Davis wanted $50,000 up front to attend the session.

The Juilliard-trained trumpeter Davis described Hendrix, who learned his chops backing up the Isley Brothers and others, as a self-taught “natural musician” who could not read music but was able to pick up complicated pieces in the blink of an eye.

Davis says in the book that he and arranger Gil Evans were in Europe planning to record with Hendrix at the time of his death in London.

“What I didn’t understand is why nobody told him not to mix alcohol and sleeping pills,” Davis wrote.

Hendrix’s death dashed their plans to record together, with or without Mr. McCartney. Eddie Kramer, the engineer who produced most of Hendrix’s music, said there will always be speculation about what might have been.

“I think it would have been phenomenal,” Mr. Kramer said. “Lord knows where it may have gone; those huge egos in the studio at the same time! I would have loved to have done that one. But it was not to be.”