  For the next galactic supernova, operational neutrino telescopes will measure
the neutrino flux several hours before their optical counterparts. Existing
detectors, relying mostly on charged current interactions, are mostly sensitive
to $\bar{\nu}_e$ and to a lesser extent to $\nu_e$. In order to measure the
flux of other flavors
($\nu_{\mu},\bar{\nu}_{\mu},\nu_{\tau},\text{and}~\bar{\nu}_{\tau}$), we need
to observe their neutral current interactions with the detector. Such a
measurement is not only crucial for overall normalization of the supernova
neutrino flux but also for understanding the intricate neutrino oscillation
physics. A deuterium based detector will be sensitive to all neutrino flavors.
In this paper, we propose a 1 kton deuterated liquid scintillator (DLS) based
detector that will see about 435 neutral current events and 170 (108) charged
current $\nu_e$ ($\bar{\nu}_e$) events from a fiducial supernova at a distance
of 10 kpc from Earth. We explore the possibility of extracting spectral
information from the neutral current channel
$\overset{\scriptscriptstyle(-)}{\nu} d \rightarrow
\overset{\scriptscriptstyle(-)}{\nu}np$ by measuring the quenched kinetic
energy of the proton in the final state, where the neutron in the final state
is tagged and used to reduce backgrounds. We also discuss the secondary
interactions of the recoil neutrons in the detector.
