[sdiy] Fourier Analysis Question

[Scott Nordlund]

> Also, pianos - like most instruments - include inharmonic partials. The whole point of a piano is the phasing and movement you can hear if you hold down a chord, and that's created by deliberate detuning of the strings.
>
> This means no single waveform is exactly identical to any other cycle.
>
> Discrete stepped timbre-frame synthesis won't capture that.

The Robert Bristow-Johnson paper I mentioned earlier discusses this- if you preserve phase information but ensure that it's continuous between timbre frames, you can get anharmonic partials with a piecewise linear approximation of the original relative phase shift. Of course, this will change if you choose to traverse through the wavetable at a different rate.  Anyway I think one of the main advantages is that with some effort, you can do completely smooth interpolation for velocity and keyboard zones.