I would like to find a sinusoidal wave whose period or frequency change to half (or double) with every step, someting like this
But I cant find the precise coefficients for the period to decrease (or increase) twice. Can someone help me?
I want to use it to map the different pitch (or notes) of voice, to certain values.
In our speech, and singing, the range of the first octave is half of the next octave, so I need a function whose period is twice as big each time to cover all the octaves. it need not be a sinusoidal it can be any periodical function.