Talk:Overtone
From Academic Kids
A recursive arithmetic formula for the overtone series:
- an=an-1+x, for a1=x
A recursive geometric formula for the octave "series":
- an=an-1*2, and/or
- an=an-1/2
I don't know if there is a way to do this in one formula.
Here's another formula for the overtone series for one-dimensional standing waves on a medium of length L and wave speed v:
- fn=(nv/2L)
from Intervals, overtones, and axis PDF (http://www.physics.uiowa.edu/~fskiff/Physics_044/Friday%206.pdf) Hyacinth
http://www.chanceandchoice.com/ChanceandChoice/chapter2.html
hmm... i don't think saying (f1, f2, f3) is any better. that looks to me like just any arbitrary frequencies. the idea is to show that the overtones are integer multiples of the fundamental frequency, like 100, 200, 300, 400 is f, 2*f, 3*f, 4*f, and going up by octaves yields 100, 200, 400, 800, 1600, or f, 2*f, 2*2*f, 2*2*2*f, etc. the formulas are right, though. maybe they could be put in the article?
Again, I think using f1, f2, f3, f4 isn't very clear. they could just represent frequency variables (f1 = 434 Hz, f2 = 12345432 Hz, etc.). 1f, 2f, 3f, 4f would at least be correct mathematically. - Omegatron
"Since the overtone series is an arithmetic"
So technically that should say harmonic series anyway... - Omegatron
I thought "overtones" were an integer power of two multiplied by the fundamental frequency, so for example, the 'second overtone' of a fundamental frequency would be the fundamental frequency multiplied by two to the power of two, and the 'fourth overtone' would be the fundamental multiplied by two to the power of four, etc. Denelson83 01:37, 30 Nov 2004 (UTC)
- so the overtone series would be 2f, 4f, 8f, 16f, 32f? that's the octave series. what field is this definition in? - Omegatron 15:44, Nov 30, 2004 (UTC)
