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About The Best of John Coltrane : The Best of John Coltrane is a compilation album released by Atlantic Records . The album was released shortly after his death as a part of the "Atlantic Jazz Anthology" Coltrane's cover version of "My Favorite Things" is a modal jazz interpretation of the standard Rodgers and Hammerstein composition from the album of the same name . The Rolling Stone Jazz Record Guide gave the album five out of five stars and at AllMusic, the editorial staff gave it 4.5 out of five . AllMusic gave it a "pithy yet effective compilation" that captures Coltrane "at his undisputed peak" Its music is influenced by genres - hard bop , modal jazz.