WAI to BPM?

I am working on overlaying other instruments to organya songs, and finding the right tempo is a constant nuisance, because BPM is a direct function with f(x) being speed and x being BPM, while Pixel's WAI(t) units is an inverse function where f(x) is speed and x being WAI.

Since inverse functions are non-linear and direct functions are linear, I am assuming a quadratic equation is necessary for conversion.

I am on my phone ATM, so if someone could give me some WAI values and their exact correlating BPM values (three or four should suffice, they should relatively far apart), I could easily find a formula for converting the two.

Unless such a formula exists.

 

WAI = ms / click
BPM = beat / min
ms/click * click/beat * beat/min = ms/min = 60000
WAI * click/beat * BPM = 60000

So to find any one of the things on the left, simply take 60000 and divide by the product of the other two.

 

Wait what do you mean by WAI=ms/click
Ms is milliseconds I suppose, but what is meant by click?

Edit: using audio approximation technology (ears), I have ascertained that 60 WAI is approximately 250.5 BPM.
This gives me a result of (clicks/beat) being about 3.992.
Is clicks per beat the constant of variation?
Or does it change with each equation?

 

So, you were almost correct. WAI 60 = BPM 250 if the number of clicks per beat is 4, which is normally is.