youre neglecting to take into account the resonance of filters, and band passing, notching etc. which can emphasise and virtually totally remove certain frequencies, including the fundamental etc.AK wrote:The only issue I have with that is the amplitude of the partials in the waveform. Say we have an A/440 sawtooth, the fundamental being obviously 440hz, the next partial is 880hz which is an 8ve higher and half the amplitude, then we get 1320hz almost an E6 note. Then we get to another A note and next is nearly a C#, by this time we wouldnt hear the 'notes' because of the amplitude halving, and even if we could hear the 5th harmonic, we are only talking a near major chord which obviously isnt very exciting. I worked out that if we go down to the 10th harmonic, we end up near to this bunch of notes: (omitting the repeat 8ve's) A, E, C#, F#, B.
So even after only 10 partials, theres obviously 'chords' although we dont hear them as that because of the amplitude and they dont fall on chromatic notes, some being more off than others.
you're not taking into account the effect of PWM, etc.... the frequnecies you hear in a skinny pulse are very different to a square wave....
synthesizers are capable of doing a lot more than just produce the perfect sawtoothwave bro.
youre also not taking into account that although the amplitude decreases, you still hear the higher partials, as it requires less amplitude to hear higher frequencies, those higher frequencies are clearly audible in an unfiltered saw or pulse.
the first 14 partials produce anything but a normal 12 tet chord, several of them are almost half a semitone out, yet it is still a chord. the further away you get from the fundamental the more 'out there' it gets.
i dont want to keep picking holes in your argument, all i can say is try it for yourself. those non 12 tet chords are totally possible and musical, using subtractive synthesis. its a technique ive been using for years.
totally,AK wrote:What might be interesting is to balance a bunch of frequencies from the harmonic series with a view to composing with them. Ie: a mix of pure sine waves. It wouldnt be 12tet so may sound seriously awful. But by fluctuating the amplitude of the partials, you should, in theory be able to create waveforms and a tune of sorts. I guess im describing additive synthesis to some degree.
i made some music by fluctuating the amplitude of partials, which is exactly what you described, i released an album called Beyondness a few years ago using this technique, and while it may not have sounded 'normal' i dont think it sounded 'seriously awful', but i'm not the best judge of that.