hi @rjp9,
thank you a lot for your answer.
I read miller s documentation and it is more clear.
lets try to answer to my question :

this coeff of 0.05776 ?
I thought it was the result of log(2)/12 ... but this don't match ...

the [exp] object
because of this formula :
transposition factor = 2 ^(h/12) = e ^(log(2)/12 * h )
with h the desired pitch shift in halftones

the division by 1000 for the window
the convertion of the window from ms to s
I still have to get this * Momentary Transposition ' which explain the calculus of the phasor frequency (Fphasor)
maybe the doc of katjaas could help.
Fphasor =  (t  1) / win
with t = 2^(h/12)
h the desired pitch shift in halftones
win the window size in sec
made this patch for a calculation of Fphasor without the coeff 0.05776
theBrainWorkOfPitchShift.pd
thx again.