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In non-centrosymmetric symmorphic space groups the correct phase set need not be the one with the best Σ2 consistency. A new criterion (P1C - {\sum_{h}} {\sum_{k}} {{(|U_{h}| - |U_{k}|)^{2}}\over{(1 - |U_{h + k}|)(1 - |U_{h - k}|)}}| π - (φh + k+ φh - k - 2φh)| is shown to be more powerful in specifying the correct phase set.
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