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Notes and soundwaves and periodic functions and algebra

  1. May 21, 2008 #1
    this has to do with music and notes and soundwaves and stuff
    i have to find out the sound waves for thirds (eg c and e or d and f or e and g.... u get the picture). its in radians by the way. i figured id worked out the formula for c and the formila for e and just add them but im not sure that is how u work out the soundwave for chords. and i also dont know how to simplify stuff with sin.
    sin(32*pi*440^(-1)*t is the formula for c. sin(220^(-1)*pi*2^(-7/12)*t is the formula for e.
    t=time and so on a graph its x
    now that leaves me with (sin(32*pi*440^(-1)*t)+sin(220^(-1)*pi*2^(-7/12)*t. so i took a stab in the dark even though i knew this would be wrong (which it is) and said it equals sin(3025^(-1)*pi*2^^(-7/12)*t). help please?
     
  2. jcsd
  3. May 21, 2008 #2

    Redbelly98

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    Hi,

    It's not really possible to simplify the addition of two sine curves, except perhaps under special circumstances. So you would just leave it as

    sin(32*pi*440^(-1)*t) + sin(220^(-1)*pi*2^(-7/12)*t)

    However, I'm not quite sure these are correct, that is the numbers being used here. You might want to double check on that.
     
  4. May 22, 2008 #3
    so thers no way of writting that in a simpler form?
     
  5. May 22, 2008 #4
    and also the figures may be off because the initial frequencys were given and may not be acurate.
     
  6. May 22, 2008 #5

    Redbelly98

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    No, there isn't.

    Okay.
     
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