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The interplay between gravity, turbulence and the magnetic field determinesthe evolution of the molecular ISM and the formation of the stars. In spite ofgrowing interests, there remains a lack of understanding of the importance ofmagnetic field over multiple scales. We derive the magnetic energy spectrum --a measure that constraints the multi-scale distribution of the magnetic energy,and compare it with the gravitational energy spectrum derived in Li \& Burkert(2016). In our formalism, the gravitational energy spectrum is purelydetermined by the surface density PDF, and the magnetic energy spectrum isdetermined by both the surface density PDF and the magnetic-field-densityrelation. If regions have density PDFs close to $P(\Sigma)\sim \Sigma^{-2}$ anda universal magnetic field-density relation $B\sim \rho^{1/2}$, we expect amulti-scale near equipartition between gravity and the magnetic fields. Thisequipartition is found to be true in NGC6334 where estimates of magnetic fieldsover multiple scales (from 0.1 pc to a few parsec) are available. However, thecurrent observations are still limited in sample size. In the future, it isnecessary to obtain multi-scale measurements of magnetic fields from differentclouds with different surface density PDFs and apply our formalism to furtherstudy the gravity-magnetic field interplay.

Quantifying the interplay between gravity and magnetic field in molecular clouds - a possible multi-scale energy equipartition in NGC6334