Could we ever run out of new songs?
Imagine a tiny musical universe: just three notes and four positions. It already contains 81 possible note sequences. Add more notes, different rhythms, or longer phrases, and the count grows quickly. Yet a new sequence of symbols is not necessarily a new musical idea, and familiar ingredients can still sound different in a new arrangement.
Questions you could explore
- What should count as the same song: its notes, rhythm, or the way listeners recognize it?
Start reading
- Eric Lehman, F. Thomson Leighton and Albert R. Meyer; MIT OpenCourseWare, 2015Mathematics for Computer Science
The product rule explains why three available notes in four ordered positions give 81 sequences. Counting sequences does not tell us which ones make good songs.
Ready to try your ideas aloud?
Your topic carries over. Record up to 2½ minutes, depending on your plan.