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Scatology

Scatology. Scatology. Study of output Also called coprology From what comes out you get a pretty good idea of what when in!!!!!. Allusion in Music. Beethoven and Mozart. Weber and Beethoven. Stravinsky and Lithuania. Stravinsky and Lithuania II. Bruckner and Schubert.

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Scatology

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  1. Scatology

  2. Scatology • Study of output • Also called coprology • From what comes out you get a pretty good idea of what when in!!!!!

  3. Allusion in Music

  4. Beethoven and Mozart

  5. Weber and Beethoven

  6. Stravinsky and Lithuania

  7. Stravinsky and Lithuania II

  8. Bruckner and Schubert

  9. Beethoven, Schumann, Liszt, Spohr, and Wagner

  10. Beethoven and Mozart II

  11. Mahler and Handel

  12. Beethoven and Handel

  13. Various composers over time

  14. Ur-motive over 200 years

  15. Berlioz and Haydn

  16. Interesting tune

  17. Source

  18. Chopin’s variation technique

  19. Algorithmic composition

  20. Beethoven

  21. Mozart sources for algo. ex.

  22. Sorcerer output example

  23. What can allusions mean?

  24. Bach’s fugue 4

  25. Bach’s hidden motive

  26. Mendelssohn/Wagner/Mahler

  27. Haydn/Beethoven/Mahler

  28. Finding musical allusions

  29. Intervals work best

  30. Incremental works best

  31. Rhythm matching

  32. Finding allusions • Locating repeating patterns • Pattern matching a staple of artificial intelligence • Often called pattern recognition • Origins in set theory in mathematics • Finding patterns in math can be quite different than finding them in music.

  33. Pattern Matching code • No user-given pattern • Segmentation (incremental) • Controllers (variables) • Too wide: noise • Types of variations? • Too narrow: no patterns • Self-adjusting??

  34. Types of variations • Transposition • Inversion • Retrograde • Inversion-retrograde • Interpolated notes • Excised notes • Equivalent sets

  35. Set Theory Pattern matching for contemporary music. Note that many musical/math set processes do not have corresponding counterparts!

  36. Mathematical set theory • Set: {45,15,17} • Curly brackets • Typically unordered

  37. Mathematical set theory •  is an element of •  is not an element of •  is a proper subset of •  is a subset of •  is not a subset of • the empty set; a set with no elements •  union •  intersection

  38. Mathematics and Sets Example of a set proof: A  (B  C) = (A  B)  (A  C)

  39. Venn Diagrams help!

  40. Musical set theory • Set: [9,3,5] • Brackets • Ordered or unordered • Modulo 12 (pitch classes) • Ordered version of above: [9,3,5] • Normal (unordered/smallest) version of above [3,5,9] • Prime version (unordered/invertible) of above [0,2,6]

  41. Music and Sets • The same set • [0,3,7] [0,3,7] [0,3,7]

  42. The same set

  43. Cellular automata

  44. Cellular automata • An example rule set • 8 possible ways to set upper patterns (23) • 256 possible rule sets (28) • Follows Steven Wolfram’s model in a New Kind of Science (NKS)

  45. Sequence of steps • Time downward (one dimensional?)

  46. Rule 30

  47. Rule 90

  48. Rule 110

  49. In color • Rule 30 • Rule 110

  50. More about A New Kind of Science

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