Physics and Astronomy Labs/Sound speed and the relativity of rhythm

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Beethoven's seventh symphony[edit]

Visit YouTube/SMALIN to hear and see the first movement of Beethoven's 7th symphony: The lively Vivace takes dotted quarter note at 104 beats per minute (Dotted quarter note with upwards stem.svg = 104) in a Compound Duple Meter[1]. After a string of (often misleading) rhythmic hints, the pattern is establised at minute 4:16 in the youtube video. The theme is:


\new Score {
  \new Staff {
    \relative c''' {
      \set Staff.midiInstrument = #"flute"
      \set Score.currentBarNumber = #67
      \time 6/8
      \key a \major
      \clef treble
      \tempo 4. = 104
      \bar ""

      e4.~\p e8. d16-. cis8-.
      \grace { cis32( } d4.)~ d8. fis,16-. gis8-.
      a4 a8 a8. b16-. cis8-.
      cis8( b4) \grace { cis32( b ais } b8.) cis16-. d8-.
      e4.~ e8. d16-. cis8-.
      \grace { cis32( } d4.)~ d8. fis,16-. gis8-.
      a4 a8( a cis) b-.
      a4 
    }
  }
}

Files[edit]

Space-time diagram: Requires 49.47 meters at c=343 m/s and 104 beats per minute.
E659 at x = 33m
C554 at x = −16.5m
A440 at x= 0 m

Footnotes[edit]

  1. https://people.carleton.edu/~jellinge/m101s12/Pages/06/06CompoundMeter.html