We analyze the effect of singularizing cardinals on square properties. By work of Džamonja-Shelah and of Gitik, if you singularize an inaccessible cardinal to countable cofinality while preserving its successor, then ◻ κ , ω \square _{\kappa , \omega } holds in the bigger model. We extend this to the situation where every regular cardinal in an interval [ κ , ν ] [\kappa ,\nu ] is singularized, for some regular cardinal ν \nu . More precisely, we show that if V ⊂ W V\subset W , κ > ν \kappa >\nu are cardinals, where ν \nu is regular in V V , κ \kappa is a singular cardinal in W W of countable cofinality, c f W ( τ ) = ω \mathrm {cf}^W(\tau )=\omega for all V V -regular κ ≤ τ ≤ ν \kappa \leq \tau \leq \nu , and ( ν + ) V = ( κ + ) W (\nu ^+)^V=(\kappa ^+)^W , then W ⊨ ◻ κ , ω W\models \square _{\kappa ,\omega } .