Notes and soundwaves and periodic functions and algebra

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  • #1
brandy
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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 I am not sure that is how u work out the soundwave for chords. and i also don't 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?
 

Answers and Replies

  • #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.
 
  • #3
brandy
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so thers no way of writting that in a simpler form?
 
  • #4
brandy
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and also the figures may be off because the initial frequencys were given and may not be acurate.
 
  • #5
Redbelly98
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so thers no way of writting that in a simpler form?

No, there isn't.

and also the figures may be off because the initial frequencys were given and may not be acurate.

Okay.
 

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