Hello all!
A thought occurred to me that frequency modulation should control frequency like we control pitch, that is, exponentially with base 2, and not linearly. Linear control of frequency seem unnatural to me as frequency perception is not linear at all.
The usual equation for FM is
x(t) = Aₐ sin(2πfₐt + I sin(2πfₘt))
Where
- "ₐ" represents the subscript "carrier".
- "ₘ" represents the subscript "mod".
But I think it should be something like
x(t) = Aₐ sin(2π(fₐ*(2.0^(I sin(2πfₘt))))*t)
So there you go; I'll just leave that here.
It would be super nice to have some sort of synth implementing this FM equation; I bet it would sound much better than traditional FM.
I'm trying to modify the FM4 in reaktor to do just that. I'll probably upload my ensemble here when I am done.