  Observations of a large population of Millisecond Pulsars (MSPs) show a wide
divergence in the orbital periods (from approximately hours to a few months).
In the standard view, Low-Mass X-Ray Binaries (LMXBs) are considered as
progenitors for some MSPs during the recycling process. We present a systematic
study that combines different types of compact objects in binaries such as
Cataclysmic Variables (CVs), LMXBs and MSPs. We plot them together in the so
called Corbet diagram. Larger and different samples are needed to better
constrain the result as a function of the environment and formations. A scale
diagram showing the distribution of MSPs for different orbital periods and the
aspects for their progenitors relying on Accretion Induced Collapse (AIC) of
white dwarfs in binaries. Thus massive CVs (M >1.1M\odot) can play a vital role
on binary evolution, as well as of the physical processes involved in the
formation and evolution of neutron stars and their magnetic fields, and could
turn into binary MSPs with different scales of orbital periods; this effect can
be explained by the AIC process. This scenario also suggests that some fraction
of isolated MSPs in the Galactic disk could be formed through the same channel,
formingthe contribution of some CVs to the single-degenerate progenitors of
Type Ia supernova. Furthermore, we have refined the statistical distribution
and evolution by using updated data. This implies that the significant studies
of compact objects in binary systems can benefit from the Corbet diagram.
