  The invariant differential cross section of inclusive $\omega(782)$ meson
production at midrapidity ($|y|<0.5$) in pp collisions at $\sqrt{s}$ = 7 TeV
was measured with the ALICE detector at the LHC over a transverse momentum
range of 2 < $p_{\rm{T}}$ < 17 GeV/$c$. The $\omega$ meson was reconstructed
via its $\omega\rightarrow\pi^+\pi^-\pi^0$ decay channel. The measured $\omega$
production cross section is compared to various calculations: PYTHIA 8.2 Monash
2013 describes the data, while PYTHIA 8.2 Tune 4C overestimates the data by
about 50%. A recent NLO calculation, which includes a model describing the
fragmentation of the whole vector-meson nonet, describes the data within
uncertainties below 6 GeV/$c$, while it overestimates the data by up to 50% for
higher $p_{\rm{T}}$. The $\omega/\pi^0$ ratio is in agreement with previous
measurements at lower collision energies and the PYTHIA calculations. In
addition, the measurement is compatible with transverse mass scaling within the
measured $p_{\rm{T}}$ range and the ratio is constant with $C^{\omega/\pi^{0}}$
= 0.67 $\pm$ 0.03 (stat) $\pm$ 0.04 (sys) above a transverse momentum of 2.5
GeV/$c$.
