Indeed, it’s often much about those ‘perfect imperfections’. And in the end it’s alll about perception, which is subjective. And even that is fluid and contextual, depending on physical and mental state(s).
Another physics analogy: The Fourier transform suggests/claims that the spectrum of any sound is defined by the sum of perfect wholenumber multiples of it’s fundamental frequency at the right amplitude (and phase)…where in truth it’s more complicated then that…especially when the time (and space) dimension is added.
Anyway…
On emulating the Sitar using FM/PM…or just to explore…
I started my replies by suggesting FM/PM and you actually did end up using FM/PM (Vult Opulus). In FM/PM you can indeed get pretty convincing end expressive plucked strings (although it’s quite a challenge to emulate the continous resonations of the sympathetic strings).
With FM/PM (as with AM) it’s about sum and difference frequencies of all frequencies in the spectrum of both carrier and modulator, where in FM/FM, the ‘negative’ frequencies reflect back into the spectrum at inverted phase.
Also…FM?PM is very sensitive to exact ratio’s. All sorts of inharmonics may be introduced when deviating for integer ratios. But…this might be just what you need/want in some use cases. Especially because this happens only at pretty controllable/predictable places in the spectrum.
With that in mind you can use additive oscillator(s) as a (added) modulator(s) and/or carrier(s), to control where and how much/many. And thus livening up (parts of) the final spectrum. Be gentle with any FM/PM feedback and complex signals, since this soon results in harder to control/predict complectity in the spectrum.
One more thing: don’t forget you can use STATIC (not following V/Oct or notes) carriers/modulators to emulate ‘fixed’ frequency/bandwidth resonation/resonators.
Depending on the desired control over the additive spectrum / harmonics we have many options:
- Bogaudio ADDITATOR
- Sonus Dept. Addiction
- Venom HQ - Harmonic Quantizer
- docB AddSynth
- Blamsoft XFX Wave
- NYSTHI Phasor
- docB Faders and docB Pad2 or docB Pad (the PadSynth algorithm adds ‘bandwith’ per harmomics)
- docB PhO
- docB Ratio
- docB AddSynth
- Squinky Labs Organ Three
- Squinky Labs Chebyshev II
- Tonecarver Blur (an FFT based approach to granular synthesis)
About the modlator (‘sender’) and carrier (‘receiver’) roles…
All these (or any oscillator) can (of course) be used as modulators where we just need the output signal. But not all oscillators offer PM (or linear FM). There are several options to use any oscillator as a PM carrier, even if the module does not have it’s own input/parameter for phase/frequency. E.g. Sckitam WaveguideDelay
VCV Rack 2 - Phase Modulation using Waveguide Delay