When They Had Time Off From The Count Basie Orchestra In The Late 1930s Count Basie's Rhythm Musicians Formed A Small Ensemble Called The Kansas City Five With Trumpeter Buck Clayton Drummer Jo Jones Bassist Walter Page Rhythm Guitarist Freddie Green And Eddie Durham's Electric Guitar As A Replacement For Count Basie's Piano . When Lester Young Joined The Band In 1938 On Clarinet And Tenor Sax It Became The Kansas City Six.