  We have studied the dependence of the high frequency Quasi-periodic
Oscillation (QPO) (~284 Hz) on the phase of the low frequency QPO (~6 Hz) in
the black hole X-ray binary XTE J1550-564 in the observations of the Rossi
X-ray Timing Explorer (RXTE) performed on MJD 51241. By selecting the local
maxima and the local minima in the light curve on the 6 Hz QPO time scale, we
have found the corresponding high frequency QPO frequencies are consistent
within 1.5 sigma. However, the average central QPO frequency of the maxima and
the minima is about 2.0 sigma lower than the average high frequency QPO
frequency obtained in the entire observation. This marginally suggests that the
high frequency QPOs probably varies in frequency on short time scales. We
briefly discuss these results and their consequences.
