tristancalvaire Posted January 5, 2012 Share Posted January 5, 2012 Hello all! I'd like to do a project involving the mathematics of synthesis. I plan on making a video explaining what's going on behind the scenes in a synth like Razor, including an oscilloscope and such to make changes to a musical function more visual. I plan on doing a bit of independent research, and I thought here might be a good place to ask (if this doesn't really fit within the forums intended purpose, I understand if an admin wishes to remove it). I have a few questions I am looking for answers to. Obviously the formula for a sine wave is ƒ(x) = sin(frequency * x), but what are the, or what is a formula(s) for a: -Triangle wave? -Square wave? (also, how does the formula change for varying pulse widths?) -Saw wave? -White noise? A few more questions I have are, -What is the default amplitude in decibels of most synthesizers, and what is the distance in decibels between an outward vibration of a speaker and inward vibration? (what is the range in decibels of a musical function, usually?) -Is the default formula for a standard sine wave ƒ(x) = sin(frequency * x)? If so, what is the default frequency used for most digital synthesizers calculations? -How do you change the period for a different pitch- do you multiply x by the exact frequency value in hertz of the pitch you want? Or do you have to manipulate said hertz value beforehand, and if so, how? -the default amplitude of the sine function is 1. What does this correspond to in decibels? Let's say I multiplied the enter function by 3. The amplitude is now 3; what does this correspond to in decibels? (I assume that the change in amplitude/volume is not linear?) Thank you for sharing any knowledge you may have on the topic. Link to comment Share on other sites More sharing options...
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