 " Frozen " is a mid @-@ tempo electronic ballad which has a layered sound enhanced by synthesizers and strings , arranged by Craig Armstrong . It was composed using common time in the key of F minor , with a moderate tempo of 102 beats per minute . " Frozen " has a basic sequence of Fm – E ♭ – D ♭ – E ♭ as its chord progression . The chorus , however , has the chord progression of Fm – B ♭ m – D ♭ – A ♭ . Madonna 's vocals range from the lower octave of F3 to the higher note of A ♭ 4 . 
