Harmonic Orders

[Bastinium]

I'm looking for a mathematical representation of a fundamental wave and it's harmonic modes.
For example a wave of 590 nm what are its 'octaves'?

Can the resulting formula be represented in polar coordinate 'vector' space?

 

[Ibix]

I'm not sure what you are asking.

A single monochromatic wave is described by a sine wave, $A\sin(\omega t-kx)$, where $\omega=ck$, $k=2\pi/\lambda$, $\lambda$ is the 590nm you specified, and $A$ is the amplitude (how bright the light is, roughly).

Octaves are double the frequency (i.e. half the wavelength), so would be the same thing but with $\lambda$ in nm being 590/2, 590/4, 590/8 etc.

Does that help?

 

[Bastinium]

I'm not sure what you are asking.

A single monochromatic wave is described by a sine wave, $A\sin(\omega t-kx)$, where $\omega=ck$, $k=2\pi/\lambda$, $\lambda$ is the 590nm you specified, and $A$ is the amplitude (how bright the light is, roughly).

Octaves are double the frequency (i.e. half the wavelength), so would be the same thing but with $\lambda$ in nm being 590/2, 590/4, 590/8 etc.

Does that help?

Resonant conjuncts, like in music...