Quote:
Originally Posted by
purrin 
Ah, I get what you are trying to say. For the sake of simplicity and from the recording engineers point of view, WRONG >>> the "harmonic" regions tend to be exclusive of the fundamental regions <<< WRONG - in other words, the higher harmonics exclusively outside the range of the fundamental notes (despite the fact the lower order harmonics of the lower notes may also reside in the fundamental region).
Here is an example: http://www.independentrecording.net/irn/resources/freqchart/main_display.htm
Again, calling the yellow bars harmonics is not technically correct because the harmonic regions do extend lower into the red fundamental regions. It's simply a convenient use of the term in "working" system.
Ok: you don't understand the basic physics and that graph is criminally misleading - it at least needs explanatory text. Let me explain it to you. Here is your graph:

The red shows the fundamental region for each instrument.
The yellow shows where there are harmonics outside of the fundamental range. But it does NOT mean that there will be no harmonics there! You have mistaken a graph that has been simplified for easy use in marketing for a one displaying the actual truth. Let's look at some real harmonics - see the one for 100Hz at 146Hz? From http://en.wikipedia.org/wiki/File:Flageolette.svg - note that the fundamental is where your graph has the bass note of the human voice BUT THAT THE HARMONICS ARE NOT, NO WAY, NOT EVEN NEARLY RESTRICTED TO THE YELLOW BAR! Viz -

Yes, your graph shows harmonics for the human voice starting at 1000Hz - but this is physically impossible for an "instrument" with fundamentals starting at 100Hz! (Trust me: I have a physics degree - if you don't trust me, find a highschool textbook. Plus just look at the picture of the string: there are EIGHT harmonics for a 100Hz tone before you get to 1000Hz, not zero!)
So harmonics for different (or even the same) instrument are not as easily separated by frequency as you think - you can't say "Overlaps by reds and yellows are rare, so overlaps by fundamentals and harmonics" are, which is what I think you're trying so say. No. If you have a guy singing in the middle of his range then many of his harmonics are going to be scattered in the female voice's fundamental range. Yes, your graph doesn't show this - look at the human male voice
And in practice, things are even worse than this, because tones are not pure, so even MORE overlap! And a multiple string instrument will almost certainly have fundamentals for one string in the same range as harmonics for another...
Edited by scuttle - 2/8/13 at 1:40pm