albertocarretero

Hello, I don't understand very well the last calculation for the Speaker-to-speaker crossfade (Technical Details) in de Panning Tutorial (TUTORIAL 22: MSP).

Then, I understand how to calculate the values, but when it says (Technical details in the tutorial help):

"Armed with all of this information, we can finally calculate the gain for the two channels as a cos(y±x)/d."

I don't why do we arrive there. I would like to follow the steps in the middle to arrive to the gain formula.

In addition, I don't understand the implementation in the MAX/MSP tutorial.

In the final expression: expr cos(($f2+$f4)*6.2832)*$f3/$f1*2/($f3+1)

What does it mean the end: ... * 2/($f3+1) --> f3 is "a", it isn't.

(I cant't see the correspondence with the gain formula)

"Armed with all of this information, we can finally calculate the gain for the two channels as a cos(y±x)/d." 

What does it mean the end: ... * 2/($f3+1) --> f3 is "a", it isn't.      

CALCULATION DETAILS FOR PANNING (TUTORIAL 22 MSP) - SPEAKER-TO-SPEAKER CROSSFADE