Giant Steps（1959，Atlantic）：就當時的認知與製作概念而言，「Giant Steps」才是John Coltrane個人首張正式專輯（先前與John Coltrane有合約關係的唱片公司，都是在他成名之後，才紛紛以John Coltrane名義發行專輯）。就原創性與演奏難度而言，「Giant Steps」都是現代爵士樂的重要教材，對聽眾來說，急速變化的和弦進行，已經到了「耳花撩亂」的地度，這張專輯不但總結了John Coltrane之前的學習與努力，也是一個關鍵轉捩點：John Coltrane許新鮮的想法，需要另組新團來執行。特別注意抒情的「Naima」，簡單抒情的旋律，是每個人都聽得懂得雋永名曲，也是內向的Coltrane豐沛情感抒發的具體表現。

Alice Coltrane’s controversial ‘re-imagining’ of her husband’s late works was criticised by both fans and critics, due to the audacity with which she took his original performances and superimposed them over lush orchestral backgrounds and re-dubbed rhythm section parts, as well as recording new solos on piano, organ, harp and timpani. Tracks 2 & 3 were originally recorded by the 'classic Quartet' (John Coltrane, McCoy Tyner, Jimmy Garrison, Elvin Jones) in 1965, while tracks 1 & 4 were recorded by Coltrane's later ensemble (Pharoah Sanders, Alice Coltrane, Garrison, Rashied Ali, and extra percussionist Ray Appleton). On the 1965 tracks, Alice retains the original rhythm section parts, adding string and tamboura parts only, but on the 1966 tracks, Garrison's bass parts are replaced with new recordings by Charlie Haden, and she herself records new solos.