We derive a multi-scale model of moist tropical dynamics which is valid on horizontal
synoptic scales, zonal planetary scales, and synoptic and intraseasonal time scales. The Intraseasonal
Multi-Scale Moist Dynamics (IMMD) framework builds on the IPESD framework of A.J. Majda and
R. Klein, J. Atmos. Sci., 60, 393–408, 2003. It generalizes the latter by allowing for strong zonal
winds (the Trade Winds) and the pressure and stratification variations that they generate. The
framework consists of three pieces. The first, called TH, are planetary scale climatology modulation
equations which govern the Trade Winds and Hadley Circulation. Self-consistency of the asymptotic
theory requires that the meridional component of the Hadley Circulation is an order of magnitude
weaker than the zonal component. The second piece, S, is a linear system of equations which
govern synoptic scale velocity, temperature, and pressure fluctuations forced by synoptic scale heating
fluctuations. Unlike the IPESD theory, these fluctuations are advected by part of the planetary scale
climatology from TH. Since the meridional component of TH is an order of magnitude weaker than
the zonal component, the synoptic scale fluctuations are only advected by the latter. The third,
P, govern the planetary scale anomalies which, like IPESD, are driven both by planetary scale
mean heating and by upscale fluxes from the synoptic scales. These planetary scale anomalies are
advected both by the zonal component of the Trade Winds and by the meridional component of the
Hadley Circulation and, furthermore, respond to an in-scale flux from the mean climatology. We
also present an asymptotic analysis of the equations of bulk cloud thermodynamics in order to lay
out a self-contained path for incorporating synoptic scale cloud models into the IMMD framework.
This framework has potentially important implications for the development of models describing the
Madden-Julian Oscillation (MJO) since the MJO manifests itself as planetary scale anomalies from
a mean climatology which it modulates on intraseasonal time scales.