Lefty said:
PS: Can anyone one explain why they call the 2nd harmonic the 2nd harmonic. If it's the second then that means the fundamental signal is also the first harmonic? how can a signal be a fundamental and also a harmonic.
So, you want an explanation as to why the 2nd harmonic is called the 2nd harmonic? In my understanding, it all comes down to that old buggaboo - math. It's defined the way it is to make conversations and calculations in the head easy to do. For example, the second harmonic is 2x the fundamental, and the third harmonic is 3x. Second is 2x, third is 3x, etc. Clever, huh?
You may have noticed I also used the term fundamental. This introduces the other way of talking about harmonic content, fundamental and overtones. The overtone progression may make more sense to you, but it does make the math less obvious. In short, "harmonics" are more used in the engineering world, and "overtones" are used in the musical world.
Here's a quick chart of how "harmonics" relate to "overtones":
"Harmonics"............."Overtones"
First harmonic.......=..Fundamental
Second harmonic...=..First overtone
Third harmonic......=..Second overtone
Fourth harmonic....=..Third overtone
Fifth harmonic......=..Fourth overtone
etc etc
DON'T CONFUSE HARMONICS AND OVERTONES - they mean different things.
Hope that's somewhat clear. If the first harmonic thing still bugs you, just accept it as a definition that the first harmonic IS the fundamental. Sorta like how we define 10 to the power of 0 is 1. Doesn't make sense, but that's how it is defined so the math works out.