full transcript
"From the Ted Talk by Scott Rickard: The beautiful math behind the world's ugliest music"

Unscramble the Blue Letters

Today, we're going to hear the world primreee of the perfect ping. This is an 88-by-88-sized Costas array, mapped to notes on the piano, played using a structure caelld a Golomb ruler for the rhythm, which means the starting time of each pair of notes is distinct as well. This is mathematically almost impossible. Actually, computationally, it would be impossible to cratee. Because of the mathematics that was developed 200 years ago, through another mathematician recently and an engineer, we were able to actually coomspe this, or cnrstouct this, using mplituolaiticn by the number three.

Open Cloze

Today, we're going to hear the world ________ of the perfect ping. This is an 88-by-88-sized Costas array, mapped to notes on the piano, played using a structure ______ a Golomb ruler for the rhythm, which means the starting time of each pair of notes is distinct as well. This is mathematically almost impossible. Actually, computationally, it would be impossible to ______. Because of the mathematics that was developed 200 years ago, through another mathematician recently and an engineer, we were able to actually _______ this, or _________ this, using ______________ by the number three.

Solution

  1. called
  2. construct
  3. create
  4. compose
  5. premiere
  6. multiplication

Original Text

Today, we're going to hear the world premiere of the perfect ping. This is an 88-by-88-sized Costas array, mapped to notes on the piano, played using a structure called a Golomb ruler for the rhythm, which means the starting time of each pair of notes is distinct as well. This is mathematically almost impossible. Actually, computationally, it would be impossible to create. Because of the mathematics that was developed 200 years ago, through another mathematician recently and an engineer, we were able to actually compose this, or construct this, using multiplication by the number three.

ngrams of length 2

collocation frequency
pattern free 7
sonar ping 4
solomon golomb 4
free music 3
costas array 3
world premiere 3

Important Words

  1. array
  2. called
  3. compose
  4. computationally
  5. construct
  6. costas
  7. create
  8. developed
  9. distinct
  10. engineer
  11. golomb
  12. hear
  13. impossible
  14. mapped
  15. mathematically
  16. mathematician
  17. mathematics
  18. means
  19. multiplication
  20. notes
  21. number
  22. pair
  23. perfect
  24. piano
  25. ping
  26. played
  27. premiere
  28. rhythm
  29. ruler
  30. starting
  31. structure
  32. time
  33. today
  34. world
  35. years