Cooke's papers contain a considerable volume of correspondence. Among the correspondents represented are:
Paul Banks, Leonard Bernstein, Adrian Boult, Frans Bouwman, Jerry Bruck, Harold Byrns, Mosco Carner, Jack Diether, Wilfrid Dunwell, Susan M. Filler, Egon Gartenberg, Avik Gilboa, Berthold Goldschmidt, Victor Gollancz, Henry-Louis de la Grange, Michael Kennedy, A. Hyatt King, Heinz Kreutz, Otto Jokl, Benjamin Lees, Bryan Magee, Alma Mahler, Anna Mahler, Colin Matthews, David Matthews, Claude Meylan, Donald Mitchell, Dika Newlin, Eugene Ormandy, Stanley Sadie, Vilem Sokol, Kaikhosru Sorabji, William Steinberg, Bryden Thomson, Harold Truscott, Derek Watson, Hans Wollschläger.
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