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We present a detailed analysis of light scattering experiments performed on the quarter-filled spin ladder compound ${\ensuremath{\alpha}}^{\ensuremath{'}}\ensuremath{-}{\mathrm{NaV}}_{2}{\mathrm{O}}_{5}$ for the temperature range $5 \mathrm{K}<~T<~300 \mathrm{K}.$ This system undergoes a phase transition into a singlet ground state at $T=34 \mathrm{K}$ accompanied by the formation of a superstructure. For $T<~34 \mathrm{K}$ several modes …