# Notes and soundwaves and periodic functions and algebra

brandy
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?

Staff Emeritus
Homework Helper
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.

brandy
so thers no way of writting that in a simpler form?

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

Staff Emeritus