Math Functions
Posted: Thu Aug 29, 2019 5:32 pm
Hello Gang,
Have any of you ever thought of using math FUNCTIONS as wave-forms, really wave shaping because they do require a waveform as input. The Sine wave is what’s required, but you can get some good results with other wave-forms, just do your own testing. I have been using the SINC function (see pdf from Wikipedia) for a while now and since have started playing around with other’s as you can see, the FRENSEL function as an example. I really like how these can add harmonics that really sweeten the sound. Also inputting these rich harmonic waveforms into a filter will let even control the harmonics further! My favorite so far is the Sinc Function because it can be modified by a dc offset, my shape control. This then also lets the shaper be modulated (play with the LFO, thanks trogluddite). There is the unnormalized Sinc function and the normalized Sinc function. Also there are many variations you can do to it, I provided a few to play with. Try some of these out in your next creation, I think you will really like the sounds they can produce!
What I am hoping is some of you will discover other math functions that work as new wave-forms (wave shapers) and post them here. I am sure there are many more to be found that can produce a great range of harmonics.
Have fun, and PLEASE do comment, BobF.....