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Frequencies of frequency standards are shifted by the local static gravity red shifts and also modulated by the tidal relativistic red shifts.We compute the tidal relativistic red shifts using a time-domain method and present the numerical results for the National Institute of Metrology (NIM) in Beijing,Laboratoire National de Métrologie et Essais-Système de Références Temps-Espace (LNE-SYRTE) in Paris and Physikalisch-Technische Bundesanstalt (PTB) in Braunschweig.The differences of the tidal relativistic red shift approach as large as 1.1 × 10-16 when frequency standards at NIM are compared with those at SYRTE and PTB.Moreover,the tidal relativistic red shifts of frequency standards in space stations are also computed.