  The results of a temporal analysis of observations for a sample of nine
low-mass X-ray binaries (LMXBs) are presented. Of these sources, five host a
neutron star (NS) primary (4U1608-52, Aql X-1, 4U1705-44, GX17+2 and Cyg X-2),
and four host a black hole (BH) (GX339-4, XTE J1859+226, H1743-322 and MAXI
J1659-152). The NS group includes three Atolls and two Z-type sources. We
utilized archival Proportional Counter Array (PCA)/RXTE data to construct
high-resolution lightcurves. A wavelet transform of the lightcurves is deployed
to extract a minimal time scale (MTS) associated with the spectral state of the
sources. The MTS, together with the fractional root-mean-square (RMS) and
hardness ratios, is used to construct RMS-MTS and hardness-MTS diagrams that
enable a direct comparison of the evolution of spectral transitions in the
target sources. Observations with high fractional RMS and high hardness cluster
in a broad region occupied jointly by BH and NS sources. For low fractional RMS
observations the Atolls exhibit large MTS whereas Z-type sources exhibit small
MTS. This new feature raises the possibility of discriminating between these
two types of sources. Moreover, in the hardness-MTS plane, BH sources are the
sole occupiers of the low-hardness and small-MTS domain thus potentially
signaling a unique property for distinguishing BH and NS hosts in LMXBs.
