Create a song which has within it all (say) 4 note songs. A De Bruijn sequence doesn't quite work because scale transpositions can be considered equivalent. Cyclic is OK: the song repeats.
Simplifications / constraints: Limit to two octaves of a small scale, e.g., pentatonic. We don't care about covering 4 note songs with a range greater than an octave, or jumps larger than a fifth, or tritone jumps. Limit rhythm in some way, the most obvious being only quarter notes, though that might be too boring.
Inspired by change ringing .
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