(Check the math on this, I believe Sudre had not exhausted all the combinations of notes. --JS. )
Length | Possibilities | Used | Unused|
---|---|---|---|
1 | 7 | 7 | 0 |
2 | 49 | 49 | 0 |
3 | 343 | 336 | 7 |
4 | 2401 | 2268 | 133 |
5 | 16807 | 9072 | 7735 |
What to make of this? The obvious reason for the missing 3-note combinations would be to disallow combinations like do-do-do. Removing re-do-do-do, do-do-do-re and do-do-do-do explains 105 of the missing 4-note combinations - does anyone have any good ideas for the other 28? Brave enough to try the combinatorics for 5-note words?
- GdB.