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music synthesis equations
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MUSIC SYNTHESIS EQUATION

 

A(Z)= FIRST ORDER ALL PASS FILTER.

        = (Z^(-1)-gamma)/(1-gamma*Z^(-1)).(1+z^(-1))/z

gamma= filter constant.

Y(Z)= (z^(-1)-gamma)/(1-gamma*z^(-1))*(alpha^R)/2(z^(-R)+z^(-R-1))*Y(Z).

IN TIME DOMAIN:

y(n)= gamma*y(n-1)+(alpha^R)/2(y(n-R-1)+y(n-R-2))-(gamma*(alpha^R))/2((y(n-R)+y(n-R-1))

  

Sampling frequency(Fs) and values for the octet notes


NOTE NAME

Fs(Hz)

R

SA

264

30

RE

297

26

GA

330

24

MA

352

22

PA

396

20

DHA

440

18

NI

495

16

SA

528

14