Questions to be pondered:
Since music is made up of combinations of sine waves, what instrument do you think can produce a graph that is the closest to the standard f(x)=sin(x)? (Another way to think about it: What instrument produces the purest tone?) |
What instrument do you think would produce the most complex sine waves? |
Since music is made up of combinations of sine waves, what instrument do you think can produce a graph the closest to the standard f(x)=sin(x)? (Another way to think about it: What instrument produces the purest tone? |
The instrument that produces the purest tone (a wave closest to the standard sine wave) is the flute!
Here's a zoom-in so you can see what's really going on!
Note: If you consider the range of instruments used in Hillbilly music...... then the bottle really gives the purest tone! Check it out!
If we zoom-in, we can see what a perfect sine wave blowing into a bottle can produce!
What instrument do you think would produce the most complex sine waves? |
The instrument that produces the most complex sine wave is the cymbal! (Or the human voice, if you don't consider a cymbal an instrument.)
Look how messy this zoom-in is!