f(t)35 / 35Anthem pop
n->3n+1
Halve it if even, triple and add one if odd. Everyone expects it always reaches 1. Nobody has proved it.
The equation
n → n/2 (even), n → 3n + 1 (odd)
What the equation decides
The arpeggio and the form. It walks the path of 27 from the first second, climbs to 9232 at the peak of the second chorus, then falls all the way to 1.
What was composed
Tempo, key, chords and form lengths.
Score
Read the full score